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Obata Nobuaki  尾畑 伸明

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OBATA Nobuaki  尾畑 伸明

尾畑 伸明

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Researcher Number 10169360
Other IDs
External Links
Affiliation (Current) 2023: 東北大学, データ駆動科学・AI教育研究センター, 特任教授
Affiliation (based on the past Project Information) *help 2011 – 2023: 東北大学, 情報科学研究科, 教授
2017: 東北大学, 大学院・情報科学研究科, 教授
2014: 東北大学大学院, 情報科学研究科, 教授
2013: 東北大学, 大学院・情報科学研究科, 教授
2012: 東北大学, 大学院・情報科学研究科 … More
2007 – 2011: Tohoku University, Graduate School ofInformation Scineces, Professor
2008: 大学院・情報科学研究科, 教授
2006: Tohoku University, Graduate School of Information Sciences, Professor, 大学院情報科学研究科, 教授
2001 – 2005: 東北大学, 大学院・情報科学研究科, 教授
1999 – 2000: 名古屋大学, 多元数理科学研究科, 助教授
1995 – 2000: 名古屋大学, 大学院・多元数理科学研究科, 助教授
1999: Nagoya University, Graduate School of Mathematics, Associate Professor, 大学院・多元数理科学研究所, 助教授
1997 – 1998: Nagoya University, Graduate School of Math., Associate Professor, 大学院多元数理科学研究科, 助教授
1993 – 1994: 名古屋大学, 理学部, 講師
1989 – 1990: 名古屋大学, 理学部, 助手
1987: 名古屋大学, 理学部, 助手 Less
Review Section/Research Field
Principal Investigator
Basic analysis / 解析学 / General mathematics (including Probability theory/Statistical mathematics) / Basic Section 12010:Basic analysis-related / Basic analysis / Mathematical Sciences in Search of New Cooperation
Except Principal Investigator
General mathematics (including Probability theory/Statistical mathematics) / Basic analysis / 解析学 / General mathematics (including Probability theory/Statistical mathematics) … More / Global analysis / Biological Sciences / Global analysis / Geometry / Biophysics / Geometry / Legal medicine / Basic analysis Less
Keywords
Principal Investigator
量子確率論 / 量子ホワイトノイズ / 直交多項式 / 散逸量子系 / スペクトル解析 / 量子分解 / 複雑ネットワーク / 量子ウォーク / ホワイトノイズ解析 / フォック空間 … More / 量子確率過程 / ホワイトノイズ理論 / 無限次元解析 / 量子中心極限定理 / ガウス空間 / ホワイトノイズ / ホワイトノイズ超関数 / 量子確率 / 計量文献学 / 局所的周期性 / 色彩パターン化法 / 中心極限定理 / ランダムグラフ / スペクトル / 確率解析 / 関数解析 / ネットワーク / 有向グラフ / グラフのスペクトル / 伊藤公式 / ランダムウォーク / White noise theory / Quantum probability / Quantum white noise / Quantum decomposition / Quantum central limit theorem / Levy Laplacian / ネットワーク数理 / グラフスペクトル / 量子的マルチンゲール / 超関数 / 生成・消滅演算子 / 核型空間 / ガウス型確率変数 / 無限次元ラプラシアン / 量子確率積分 / ボゾン・フォック空間 / 量子散逸 / 量子スピン系 / 確率微分方程式 / 無限次元調和解析 / DNA塩基配列 / 類似性検定 / リピート単位 / DNA配列解析 / アミノ酸配列解析 / 類似性判定 / 情報量 / DNA解析 / アミノ酸配列 / 量子情報 / 非平衡熱場理論 / 隣接行列 / モーメント / フーリエ-ガウス変換 / フーリエ・ガウス変換 / 関数解析学 / 局在化 / 固有値分布 / 振動子系 / 量子ノイズ / 量子確率微分方程式 / 量子論の確率極限 / 量子マルコフ鎖 / 統計的独立性 / 非線型確率解析 / ランダムウオ-ク / 量子系の確率極限 / 無限次元回転群 / white noise / quantum noise / central limit theorem / Ito formula / quantum stochastic differential equation / dissipative quantum system / stochastic limit of quantum theory / quantum Markov chain / 複素スペクトル / レヴィラプラシアン / Complex spectrum / Quantum dissipation / レヴィ・ラプラシアン / Dissipative quantum system / Spectral analysis of graphs / 確率論 / 量子確率解析 / 漸近的組合せ論 / 代数的組合せ論 … More
Except Principal Investigator
量子確率過程 / 熱核 / 無限次元解析 / 量子確率論 / 大偏差原理 / 無限次元確率過程 / ゲノム / データベース / 色彩化 / 自由確率論 / 確率論 / 確率解析 / 無限次元ラプラシアン / 場の量子論 / スペクトル解析 / フラクタル / fractal / 超汎関数 / 接続行列 / DNA / タンパク質 / 量子論の確率極限 / ホワイトノイズ解析 / 量子伊藤公式 / ヤンミルズ方程式 / タンデムリピート / 無限グラフ / グリーン核 / 有限要素法 / 量子測定 / 量子情報 / 量子計算 / 不確定性原理 / 保存法則 / Wigner-Araki-Yanaseの定理 / 量子完全相関 / 作用素環 / ランダム行列 / 自由エントロピー / 輸送コスト不等式 / 表現論 / 調和解析 / 量子情報論 / 汎関数積分 / 基底状態 / 半群 / 確率過程 / レヴィー過程 / 無限次元ラプラス作用素 / 量子情報解析 / 調和写像 / 2-調和写像 / 2-ヤング・ミルズ場 / サイバーグ・ウィッテン方程式 / 2-ヤング・ミルズ接続 / 関数解析 / 力学系理論 / 分枝過程 / 無限次元確率解析 / 超汎関数空間 / エルゴード理論 / White Noise Analysis / 拡散過程 / 特異点 / ランダムウォーク / heat kernel / STR / ヤング・ミルズ接続 / ディリクレ固有値問題 / Yang-Mills connection / Dirichlet eigenvalue problem / ホワイトノイズ / 無限次元回転群 / ラプラス作用素 / 確率場 / 解析的容量 / Ahlgors函数 / Hilbert変換 / Szego^^¨核 / 完全流体 / ホドグラフ面 / 揚力 / 渦糸 / Jackson積分 / 基底超幾何関数 / q-差分方程式 / インフォーマティックス / 情報処理 / 構造予測 / レヴィラプラシアン / ブラウン運動 / 反塩配列 / 遺伝子 / ヒトゲノム / 細菌 / ネットワーク / 離散曲面 / 剛性行列 / 質量行列 / ファジー・ドラム理論 / ディリクレ境界値問題 / 三角形分割 / 数値計算 / 隣接行列 / 離散線識曲面 / 非固有アファイン球面 / ピック不変量 / アファイン空間 / アファイン・シェイプ作用素 / 数理物理学 / 数学基礎論 / 量子集合論 / 量子ゲート / デコヒーレンス / 量子仮説検定 / 量子チャンネル推定 / 量子推定 / 量子オペレーション / 量子論理ゲート / Fisher情報量 / 自由エントロピー次元 / 自由情報量 / 対数ソボレフ不等式 / 量子フィッシャー情報量 / 無限分解可能 / 自由エントロピート次元 / 対数Sobolev不等式 / 解析学 / 関数解析学 / 表現の指標 / 対称群 / ヤンググラフ / 環積 / 無限対称群 / 漸近挙動 / 指標 / 量子ラプラシアン / フラクショナルブラウン運動 / 汎関数微分方程式 / ファイナンス / 散乱理論 / 1パラメター半群 / 確率過程構成法 / Exotic Laplacian / レヴィ・ラプラシアンの一般化 / ホワイトノイズの高階微分 / チェサロヒルベルト空間 / 非正曲率 / コンパクト・リー群 / エネルギー / 2-エネルギー / 完備リーマン多様体 / コンパクト・対称空間 / ラグランジアン部分多様体 / 一般化B.Y. Chen予想 / 非正曲率多様体 / バブリング理論 / mエネルギー / 複素射影空間 / 一般化B.Y.Chen予想 / 平均曲率ベクトル場 / 除去可能特異点定理 / コンパクト性定理 / 平坦多様体 / レイ・シンガーのゼータ関数 / フルヴィッツのゼータ関数 / ファインマンカッツ公式 / ギブス測度 / シュレディンガ-作用素 / レヴィー測度 / 場の理論 / スピン / Bernstein関数 / くりこみ / ファインマン-カッツ公式 / ベルンシュタイン関数 / スペクトル散乱理論 / シュレディンガー作用素 / 確率論的数論 / 数論的確率論 / 量子ホワイトノイズ / 超函数の積 / 無限次元ブラウン運動の積 / 符号力学系 / ブラウン運動の射影不変性 / 確率過程の道の性質 / 離散系列の表現 / ディリクレ形式 / ファインマン積分 / Rotation group / Levy group / Levy Laplacian / Whisker / 流体力学極限 / 確率偏微分方程式 / 確率Burgers方程式 / Harnack不等式 / ランダム媒質 / 出生死滅過程 / 差分作用素 / principal eigenfunction / 調和変換 / Dirichlet空間 / Liouville性 / マルコフ連鎖 / 再帰性 / 準安定挙動 / エントロピー / ギブス分布 / 界面 / 反応拡散方程式 / 特異摂動 / バーガーズ方程式 / hydrodynamical limit / Stochastic partial diflerential equation / Stochastic Burgers equation / Harnack's inequality / random environment / birth and dath process / quauntum stochascic process / 乱流 / 流体力学 / 渦運動 / 拡散 / 地球流体 / Navier-Stokes方程式 / ハミルトン力学系 / 群論 / 自己相似性 / エネルギーカスケード / 渦度 / 密度成層 / ランダム現象 / シンプレクティック積分 / ランダムネス / turbulence / fluid mechanics / vortex motion / diffusion / geophysical flows / Navier-Strokes equations / Hamiltonian dynamics / Group theory / 自己相似集合 / シェルピンスキーカーペット / ハルナック不等式 / ホモジナイゼーション / ハウスドルク次元 / 固有値分布 / stochastic process / self-similar set / sierpinski carpet / Harnack ineguality / homogenization / 量子ノイズ / 確率極限 / 量子マルコフ鎖 / 量子情報理論 / 量子エントロピー / 非線型相互作用 / 相互作用フォック空間 / レヴィ・ラプラシアン / 相互作用フォック加群 / ウィグナー半円則 / シングルトン独立性 / 量子ランダムウォーク / Quantum noise / Stochastic limit / Quantum Ito formula / Quantum Markov chain / Quantum communication / Quantum entropy / Nonlinear interaction / Interacting Fock space / 白色雑音解析 / 情報解析 / 非線形解析 / 量子解析 / 力学系 / 自己相似過程 / 平衡現象 / 複雑系 / 情報理論 / ガウス過程 / 安定過程 / Stochastic Analysis / Infinite dimensional Analysis / Informatic Analysis / Non-Linear Analysis / Quantum Analysis / Dynamical Systems / Self-Similar Processes / 親子鑑定 / ガイドライン / Paternity test / Database / Guideline / 準超幾何関数 / LR変換 / 直交多項式 / 発散級数解 / ボレル総和可能性 / 特異偏微分方程式 / 形式的巾級数解 / 収束,発散 / ポアンカレ条件 / ジュブレイ指数 / 接続関係式 / 超球面配置 / 超幾何積分 / 差分方程式 / Wu方程式 / モノドロミー / 離散可積分系 / quasi hypergeometric / LR transform / orthogonal polynomials / divergent solution / Borel summability / singular equation / アファイン接続 / 擬調和写像 / シンプレクティック多様体 / ヤング・ミズル接続 / ワイル接続 / モデュライ空間 / チーガー定数 / 鋭角三角形分割 / 境界値問題 / 固有値 / 離散計算幾何 / 非退化CR多様体 / 擬エネルギー汎関数 / 共役接続 / ヤングミルズ接続 / finite element method / infinite graph / affine connection / oseudharmonic map / Green kernel / symplectic manifold / 完全正写像 / 量子計算素子 / 誤り耐性量子計算 / 量子回路 / 量子Turing機械 / 量子推定理論 / 量子Fisher情報量 / 測定誤差 / 擾乱 / 制御否定ゲート / uncertainty principle / quantum measurement / quantum computing / quantum information / conservation law / completely positive maps / quantum gates / fault-tolerant quantum computing / 作用素 / ユニタリ不変ノルム / 作用素単調関数 / operators / operator algebras / free probability theory / random matrices / free entropy / large deviation principle / transportation cost inequality / unitarily invariant norms / ランダム・ウォーク / 大偏差 / グロモフ・ハウスドルフ収束 / 漸近錐 / 結晶格子 / 磁場付き推移作用素 / 非可換空間 / 被覆グラフ / 距離空間 / 磁場付きシュレジンガー作用素 / ヒルベルト バイ モジュール / random walk / large deviation / gramov-hausdorff limit / asymptotic cone / crystal lattice / 収束比率 / リッチ曲率 / 可視化 / ディリクレ境界値固有値問題 / ノイマン境界値固有値問題 / 数値計算プログラム / ヤング・ミルズ場 / 孤立現象 / 複素スピン構造 / ディラック作用素 / ケーラー多様体 / カラビ・ヤウ多様体 / ノイマン固有値問題 / コーシー・リーマン・リー群 / レビ平坦構造 / convergence rate / Ricci curvature / bi-Yang-Mills connection / biharmonic map / visualization / 幾何学 / 離散幾何学 / スピン系 / 超関数空間 / ホワイトノイズ理論 / 数理ファイナンス / 超汎関数空間論 / 高次チェザロ和 / マルチンゲール理論 Less
  • Research Projects

    (52 results)
  • Research Products

    (366 results)
  • Co-Researchers

    (121 People)
  •  グラフのスペクトルと多変数直交多項式における量子確率論の展開Principal Investigator

    • Principal Investigator
      尾畑 伸明
    • Project Period (FY)
      2023 – 2025
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Tohoku University
  •  Quantum probability and asymptotic analysis of large finite systemsPrincipal Investigator

    • Principal Investigator
      尾畑 伸明
    • Project Period (FY)
      2019 – 2022
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Tohoku University
  •  Non-commutative stochastic analysis and mathematical study of networksPrincipal Investigator

    • Principal Investigator
      Obata Nobuaki
    • Project Period (FY)
      2016 – 2018
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Tohoku University
  •  New development of theory of generalized functionals, an infinite dimensional stochastic analysis and applications to theory of quantum dynamical system

    • Principal Investigator
      Saito Kimiaki
    • Project Period (FY)
      2015 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Meijo University
  •  Quantum probabilistic analysis of dynamics on complex networksPrincipal Investigator

    • Principal Investigator
      obata nobuaki
    • Project Period (FY)
      2014 – 2016
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Basic analysis
    • Research Institution
      Tohoku University
  •  Interdisciplinary Approach to mathematical network theoryPrincipal Investigator

    • Principal Investigator
      obata nobuaki
    • Project Period (FY)
      2014 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Mathematical Sciences in Search of New Cooperation
    • Research Institution
      Tohoku University
  •  New developments on quantum information theory by an infinite dimensional stochastic analysis and applications to dynamical system theory

    • Principal Investigator
      SAITO KIMIAKI
    • Project Period (FY)
      2012 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Meijo University
  •  Discrete Geometric Analysis for Quantum Spin System

    • Principal Investigator
      Kotani Motoko
    • Project Period (FY)
      2012 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  Quantum stochastic analysis - Transforms and spectral analysisPrincipal Investigator

    • Principal Investigator
      OBATA Nobuaki
    • Project Period (FY)
      2011 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Tohoku University
  •  Non-perturbative spectral analysis of quantum system by stochastic method

    • Principal Investigator
      HIROSHIMA Fumio
    • Project Period (FY)
      2011 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Kyushu University
  •  Study on decomposition of unitary representations of groups and harmonic functions on branching graphs

    • Principal Investigator
      HORA Akihito
    • Project Period (FY)
      2011 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Hokkaido University
      Nagoya University
  •  Spectral analysis of complex networks and modeling methods by statisticsPrincipal Investigator

    • Principal Investigator
      OBATA Nobuaki
    • Project Period (FY)
      2011 – 2013
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Basic analysis
    • Research Institution
      Tohoku University
  •  Generalizations of infinite dimensional Laplacians, construction methods of stochastic processes and developments in quantum information analysis

    • Principal Investigator
      SAITO Kimiaki
    • Project Period (FY)
      2009 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Meijo University
  •  New development of harmonic maps

    • Principal Investigator
      URAKAWA Hajime
    • Project Period (FY)
      2009 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Tohoku University
  •  Quantum Probability Theory and Infinite Dimensional AnalysisPrincipal Investigator

    • Principal Investigator
      OBATA Nobuaki
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Tohoku University
  •  Non-perturbative analysis of quantum interaction systems

    • Principal Investigator
      HIROSHIMA Fumio
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Kyushu University
  •  Integrated study of probability and representation theory towards harmonic analysis on huge groups

    • Principal Investigator
      HORA Akihito
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Nagoya University
  •  Constructive research on infinite dimensional stochastic Processes and its applications to quantum information analysis

    • Principal Investigator
      SAITO Kimiaki
    • Project Period (FY)
      2007 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Meijo University
  •  ランダムグラフの量子確率論的スペクトル解析Principal Investigator

    • Principal Investigator
      尾畑 伸明
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Basic analysis
    • Research Institution
      Tohoku University
  •  Mathematical study of quantum information and quantum computing

    • Principal Investigator
      MASANAO Ozawa
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Nagoya University
      Tohoku University
  •  Study of free probability and operator algebras based on random matrices

    • Principal Investigator
      HIAI Fumio
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Tohoku University
  •  Spectral Analysis of infinite grapgs with discrete group actions

    • Principal Investigator
      KOTANI Motoko
    • Project Period (FY)
      2004 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  Global analysis of the heat kernels on Riemannian manifolds and graphs

    • Principal Investigator
      URAKAWA Hajime
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Tohoku University
  •  Nonlinear theory of quantum white noise and its non-Gaussian extensionPrincipal Investigator

    • Principal Investigator
      OBATA Nobuaki
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Tohoku University
  •  Mathematical Research of Quantum Information and Quantum Computing

    • Principal Investigator
      OZAWA Masanao
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Tohoku University
  •  Study of noncommutative analysis and free probability theory on operator algebras

    • Principal Investigator
      HIAI Fumio
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Tohoku University
  •  二次元色彩化によるゲノムデータベースの解析

    • Principal Investigator
      大澤 研二
    • Project Period (FY)
      2001
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas (C)
    • Review Section
      Biological Sciences
    • Research Institution
      Nagoya University
  •  凸体の幾何とファジー力学系

    • Principal Investigator
      URAKAWA Hajime
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  新しい統計科学としての量子情報論Principal Investigator

    • Principal Investigator
      尾畑 伸明
    • Project Period (FY)
      2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Tohoku University
  •  Global Analysis of the heat kernel and Green kernel of an Infinite Graph

    • Principal Investigator
      URAKAWA Hajime
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Tohoku University
  •  二次元色彩化によるゲノムデータベースの解析

    • Principal Investigator
      大澤 研二
    • Project Period (FY)
      2000
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas (C)
    • Review Section
      Biological Sciences
    • Research Institution
      Nagoya University
  •  Quantum white noise and nonlinear infinite dimensional analysisPrincipal Investigator

    • Principal Investigator
      OBATA Nobuaki
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Tohoku University
      Nagoya University
  •  配列情報の基礎数理Principal Investigator

    • Principal Investigator
      尾畑 伸明
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Nagoya University
  •  Establishment of paternity test system in Japan

    • Principal Investigator
      KATSUMATA Yoshinao
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (A).
    • Research Field
      Legal medicine
    • Research Institution
      Nagoya University
  •  Analytic Integral and its applications

    • Principal Investigator
      MIYAKE Masatake, 青本 和彦
    • Project Period (FY)
      1999 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Nagoya University
  •  Integrated Research on Equilibrium Random Phenomena

    • Principal Investigator
      KUBO Izumi
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (A).
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Hiroshima University
  •  文字配列の情報解析Principal Investigator

    • Principal Investigator
      尾畑 伸明
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Nagoya University
  •  DNA塩基配列の二次元パターン化による解析

    • Principal Investigator
      大澤 研二
    • Project Period (FY)
      1997
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Biophysics
    • Research Institution
      Nagoya University
  •  無限次元解析と量子確率

    • Principal Investigator
      ACCARDI Luigi
    • Project Period (FY)
      1997
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Nagoya University
  •  Quantum White Noise and Infinite Dimensional Harmonic AnalysisPrincipal Investigator

    • Principal Investigator
      OBATA Nobuaki
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      Nagoya University
  •  Infinite Dimensional Analysis and Quantum Probability Theory

    • Principal Investigator
      ACCARDI Luigi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Nagoya University
  •  q差分属と接続行列

    • Principal Investigator
      青本 和彦
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Nagoya University
  •  量子確率過程の超関数論的研究Principal Investigator

    • Principal Investigator
      尾畑 伸明
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Nagoya University
  •  Studies of Turbulence as a Nonlinear Science

    • Principal Investigator
      KIMURA Yoshifumi
    • Project Period (FY)
      1996 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Nagoya University
  •  Research of stochastic processes on fractals.

    • Principal Investigator
      KUMAGAI Takashi
    • Project Period (FY)
      1996 – 1997
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Nagoya University
  •  ホワイトノイズによる量子確率解析とその応用Principal Investigator

    • Principal Investigator
      尾畑 伸明
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Nagoya University
  •  Stochastic processes with applications to statistical mechanics

    • Principal Investigator
      ICHIHARA Kenji, 舟木 直久
    • Project Period (FY)
      1994 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Nagoya University
  •  ホワイトノイズ解析と量子確率論Principal Investigator

    • Principal Investigator
      尾畑 伸明
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Nagoya University
  •  解析的容量の研究

    • Principal Investigator
      村井 隆文
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Nagoya University
  •  ホワイトノイズ解析と確率場

    • Principal Investigator
      HIDA Takeyuki
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Nagoya University
  •  Stochastic Analysis and Quantum Field Theory

    • Principal Investigator
      HIDA Takeyuki
    • Project Period (FY)
      1989 – 1990
    • Research Category
      Grant-in-Aid for international Scientific Research
    • Research Institution
      Nagoya University
  •  多次元パラメーターの確率場の表現とその応用

    • Principal Investigator
      竹中 茂夫
    • Project Period (FY)
      1987
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Nagoya University

All 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 Other

All Journal Article Presentation Book

  • [Book] Spectral Analysis of Growing Graphs --- A Quantum Probability Point of View2017

    • Author(s)
      Nobuaki Obata
    • Publisher
      Springer
    • ISBN
      9789811035050
    • Data Source
      KAKENHI-PROJECT-16H03939
  • [Book] Spectral Analysis of Growing Graphs -- A Quantum Probability Point of View2017

    • Author(s)
      Nobuaki Obata
    • Publisher
      Springer
    • Data Source
      KAKENHI-PROJECT-26310203
  • [Book] Spectral Analysis of Growing Graphs---A Quantum Probability Point of View2017

    • Author(s)
      Nobuaki Obata
    • Publisher
      Springer, Tokyo
    • ISBN
      9789811035050
    • Data Source
      KAKENHI-PROJECT-24244004
  • [Book] Spectral Analysis of Growing Graphs- A Quantum Probability Point of View2017

    • Author(s)
      Nobuaki Obata
    • Publisher
      Springer
    • Data Source
      KAKENHI-PROJECT-26610018
  • [Book] Real and Stochastic Analysis: Current Trends Chapter 42014

    • Author(s)
      Un Cig Ji and N. Obata
    • Total Pages
      562
    • Publisher
      World Scientific
    • Data Source
      KAKENHI-PROJECT-23340027
  • [Book] 確率モデル要論2012

    • Author(s)
      尾畑伸明
    • Publisher
      牧野書店
    • Data Source
      KAKENHI-PROJECT-23654046
  • [Book] 確率モデル要論2012

    • Author(s)
      尾畑伸明
    • Publisher
      牧野書店
    • Data Source
      KAKENHI-PROJECT-23340027
  • [Book] Stochastics on Stochastic Analysis, A special issue of Stochastics2009

    • Author(s)
      N. El Karoui, P. Malliavin, G. Di Nunno, N. Obata, B. Oksendal and H. Ouerdiane
    • Publisher
      国際会議プロシーディングス共同編集
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Book] New trends in infinite dimensional analysis and quantum probability2009

    • Author(s)
      N. Obata, F. Hiai, M. Bo. ejko and U. C. Ji
    • Publisher
      special issue, Interdiscip. Inform. Sci.
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Book] Springer2007

    • Author(s)
      A. Hora and N. Obata
    • Total Pages
      371
    • Publisher
      Quantum probability and spectral analysis of graphs
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16340013
  • [Book] Quantum probability and spectral analysis of graphs2007

    • Author(s)
      A. Hora, N. Obata
    • Total Pages
      389
    • Publisher
      Springer
    • Data Source
      KAKENHI-PROJECT-19340032
  • [Book] Quantum Probability and Spectral Analysis of Graphs2007

    • Author(s)
      A. Hora, N. Obata
    • Total Pages
      371
    • Publisher
      Springer-Verlag
    • Data Source
      KAKENHI-PROJECT-17340043
  • [Book] Quantum Probability and Spectral Analysis of Graphs2007

    • Author(s)
      Akihito Hora and Nobuaki Obata
    • Publisher
      Springer
    • Data Source
      KAKENHI-PROJECT-19654024
  • [Book] Proceedings of the second Sendai Workshop on Quantum Probability and Quantum Information2004

    • Author(s)
      F.Hiai, N.Obata, M.Ozawa (eds.)
    • Total Pages
      81
    • Publisher
      Interdisciplinary Information Sciences, Tohoku University
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340039
  • [Book] Foundations of Quantum Probability Theory2003

    • Author(s)
      L.Accardi, N.Obata
    • Total Pages
      296
    • Publisher
      Makino Shoten (in Japanese)
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340039
  • [Book] 量子確率論の基礎2003

    • Author(s)
      明出伊類似, 尾畑伸明
    • Total Pages
      296
    • Publisher
      牧野書店
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340039
  • [Journal Article] Multivariate orthogonal polynomials: Quantum decomposition, deficiency rank and support of measure2020

    • Author(s)
      Ameur Dhahri, Nobuaki Obata, Hyun Jae Yoo
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 485 Pages: 123775-123775

    • DOI

      10.1016/j.jmaa.2019.123775

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19H01789
  • [Journal Article] On quadratic embedding constants of star product graphs2020

    • Author(s)
      Wojciech Mlotkowski and Nobuaki Obata
    • Journal Title

      Hokkaido Mathematical Journal

      Volume: 49 Pages: 129-163

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19H01789
  • [Journal Article] Asymptotic joint spectra of Cartesian powers of strongly regular graphs and bivariate Charlier-Hermite polynomials2020

    • Author(s)
      John Vincent S. Morales, Nobuaki Obata, and Hajime Tanaka
    • Journal Title

      Colloquium Mathematicum

      Volume: 162 Pages: 1-22

    • DOI

      10.4064/cm7724-7-2019

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05156, KAKENHI-PROJECT-19H01789
  • [Journal Article] On quadratic embedding constants of star product graphs2019

    • Author(s)
      Wojciech Mlotkowski and Nobuaki Obata
    • Journal Title

      Hokkaido Math. J.

      Volume: 掲載予定

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03939
  • [Journal Article] Quantifying heterogeneity of stochastic gene expression2018

    • Author(s)
      Keita Iida, Nobuaki Obata and Yoshitaka Kimura
    • Journal Title

      J. Theor. Biol.

      Volume: 465 Pages: 56-62

    • DOI

      10.1016/j.jtbi.2019.01.003

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16H03939
  • [Journal Article] Distance matrices and quadratic embedding of graphs2018

    • Author(s)
      Nobuaki Obata and Alfi Y. Zakiyyah
    • Journal Title

      Electronic Journal of Graph Theory and Applications

      Volume: 6 Pages: 37-60

    • DOI

      10.5614/ejgta.2018.6.1.4

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03939
  • [Journal Article] Asymptotic behavior of a rotational population distribution in a molecular quantum-kicked rotorwith ideal quantum resonance2017

    • Author(s)
      Leo Matsuoka, Etsuo Segawa, Kenta Yuki, Norio Konno, Nobuaki Obata
    • Journal Title

      Physics Lettters A381

      Volume: Issue 21 Pages: 1773-1779

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24244004
  • [Journal Article] Quadratic Embedding Constants of Wheel Graphs2017

    • Author(s)
      Nobuaki Obata
    • Journal Title

      Interdisciplinary Information Sciences

      Volume: 23 Issue: 2 Pages: 171-174

    • DOI

      10.4036/iis.2017.s.02

      10.4036/iis.2017.S.02

    • NAID

      130006287947

    • ISSN
      1340-9050, 1347-6157
    • Language
      English
    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-16H03939
  • [Journal Article] Asymptotic behavior of a rotational population distribution in a molecular quantum-kicked rotor with ideal quantum resonance2017

    • Author(s)
      Leo Matsuoka, Etsuo Segawa, Kenta Yuki, Norio Konno, Nobuaki Obata
    • Journal Title

      Physics Letters A

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-26310203
  • [Journal Article] Asymptotic behavior of a rotational population distribution in a molecular quantum-kicked rotor with ideal quantum resonance2017

    • Author(s)
      L. Matsuoka, E. Segawa, K. Yuki, N. Konno, N. Obata
    • Journal Title

      Physics Letter A

      Volume: 未定 Pages: 1773-1779

    • DOI

      10.1016/j.physleta.2017.03.032

    • Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26420875, KAKENHI-PROJECT-16K17637, KAKENHI-PROJECT-16H03939
  • [Journal Article] Quantum probability aspects to lexicographic and strong products of graphs2016

    • Author(s)
      Nobuaki Obata
    • Journal Title

      Interdiscip. Inform. Sci.

      Volume: 22 Pages: 143-146

    • NAID

      130005281205

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-16H03939
  • [Journal Article] Quantum probability aspects to lexicographic and strong products of graphs2016

    • Author(s)
      Nobuaki Obata
    • Journal Title

      Interdiscip. Inform. Sci.

      Volume: 22 Pages: 143-146

    • NAID

      130005281205

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-26310203
  • [Journal Article] An implementation problem for boson fields and quantum Girsanov transform2016

    • Author(s)
      Ji Un Cig、Obata Nobuaki
    • Journal Title

      Journal of Mathematical Physics

      Volume: 57 Pages: 083502-083502

    • DOI

      10.1063/1.4960454

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03939
  • [Journal Article] Quantum probability aspects to lexicographic and strong products of graphs2016

    • Author(s)
      Nobuaki Obata
    • Journal Title

      Interdiscip. Inform. Sci.

      Volume: 22 Pages: 143-156

    • NAID

      130005281205

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-26610018
  • [Journal Article] Quantum probability aspects to lexicographic and strong products of graphs2016

    • Author(s)
      Nobuaki Obata
    • Journal Title

      Interdiscip. Inform.Sci.

      Volume: 22(1) Pages: 143-146

    • NAID

      130005281205

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-24244004
  • [Journal Article] Localization of the Grover walks on spidernets and free Meixner laws2013

    • Author(s)
      Norio Konno, Nobuaki Obata, and Etsuo Segawa
    • Journal Title

      Comm. Math. Phys

      Volume: 322 Pages: 667-695

    • DOI

      10.1007/s00220-013-1742-x

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340027, KAKENHI-PROJECT-23654046
  • [Journal Article] Calculating Normal-Ordered Forms in Fock Space by Quantum White Noise Derivatives2013

    • Author(s)
      Un Cig Ji and Nobuaki Obata
    • Journal Title

      Interdisciplinary Information Sciences

      Volume: 19 Issue: 2 Pages: 201-211

    • DOI

      10.4036/iis.2013.201

    • NAID

      110009795569

    • ISSN
      1340-9050, 1347-6157
    • Language
      English
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340027
  • [Journal Article] Distance-k graphs of hypercube and q-Hermite polynomials2013

    • Author(s)
      Hun Hee Lee and Nobuaki Obata
    • Journal Title

      Infin. Dimens. Anal. Quantum Probab. Relat. Top

      Volume: 16 Pages: 1350011-12

    • DOI

      10.1142/s0219025713500112

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340027, KAKENHI-PROJECT-23654046
  • [Journal Article] Asymptotic spectral distributions of distance-$k$ graphs of Cartesian product graphs2013

    • Author(s)
      Yuji Hibino, Hun Hee Lee, and Nobuaki Obata
    • Journal Title

      Colloq. Math

      Volume: 132 Pages: 35-51

    • DOI

      10.4064/cm132-1-4

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340027, KAKENHI-PROJECT-23654046
  • [Journal Article] The Karlin-McGregor formula for paths connected with a clique2013

    • Author(s)
      Nobuaki Obata
    • Journal Title

      Prob. Math. Stat

      Volume: 33(2) Pages: 451-466

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23654046
  • [Journal Article] Manhattan Products of Digraphs: Characteristic polynomials and examples2012

    • Author(s)
      Nobuaki Obata
    • Journal Title

      Ann. Funct. Anal.

      Volume: 3 Pages: 135-143

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23654046
  • [Journal Article] Asymptotic spectral distributions of distance k-graphs of large-dimensional hypercubes2012

    • Author(s)
      Nobuaki Obata
    • Journal Title

      Banach Center Publ.

      Volume: 96 Pages: 287-292

    • DOI

      10.4064/bc96-0-20

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340027, KAKENHI-PROJECT-23654046, KAKENHI-PROJECT-24244004
  • [Journal Article] Manhattan product of digraphs2012

    • Author(s)
      Nobuaki Obata
    • Journal Title

      to appear in RIMS Kokyuroku

      Volume: 未定

    • Data Source
      KAKENHI-PROJECT-23654046
  • [Journal Article] Manhattan Products of Digraphs: Characteristic polynomials and examples2012

    • Author(s)
      Nobuaki Obata
    • Journal Title

      Ann. Funct. Anal.

      Volume: 3 Pages: 135-143

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340027
  • [Journal Article] Spectra of Manhattan Products of Directed Paths <i>P</i><sub><i>n</i></sub>#<i>P</i><sub>2</sub>2012

    • Author(s)
      Nobuaki Obata
    • Journal Title

      Interdisciplinary Information Sciences

      Volume: 18 Issue: 1 Pages: 43-54

    • DOI

      10.4036/iis.2012.43

    • NAID

      130001916189

    • ISSN
      1340-9050, 1347-6157
    • Language
      English
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340027, KAKENHI-PROJECT-23654046
  • [Journal Article] Manhattan products of digraphs: Characteristic polynomials and examples2012

    • Author(s)
      N. Obata
    • Journal Title

      Annals of Functional Analysis

      Volume: 3巻,No. 2 Pages: 135-143

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24244004
  • [Journal Article] Manhattan products of digraphs : characteristic polynomials and examples2012

    • Author(s)
      Nobuaki Obata
    • Journal Title

      Ann. Funct. Anal

      Volume: 3(2) Pages: 135-143

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23654046
  • [Journal Article] 5.One-mode interacting Fock spaces and random walks on graphs2012

    • Author(s)
      Nobuaki Obata
    • Journal Title

      Stochastics

      Volume: 84 Pages: 383-392

    • DOI

      10.1080/17442508.2010.550919

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340027, KAKENHI-PROJECT-23654046, KAKENHI-PROJECT-24244004
  • [Journal Article] Asymptotic spectral distributions of distance ...2012

    • Author(s)
      Nobuaki Obata
    • Journal Title

      to appear in Banach Center Publications

      Volume: 未定

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23654046
  • [Journal Article] Markov product of positive definite kernels and applications to Q-matrices of graph products2011

    • Author(s)
      Nobuaki Obata
    • Journal Title

      Colloq.Math.

      Volume: (未定)(In press)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Journal Article] Markov product of positive definite kernels and applications to Q-matrices of graph products2011

    • Author(s)
      Nobuaki Obata
    • Journal Title

      Colloq.Math.

      Volume: 122 Pages: 177-184

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340027
  • [Journal Article] One-mode interacting Fock spaces and random walks on graphs2011

    • Author(s)
      Nobuaki Obata
    • Journal Title

      Stochastics

      Volume: (未定)(In press)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Journal Article] Asymptotic spectral distributions of distance k-graphs of large-dimensional hypercubes2011

    • Author(s)
      Nobuaki Obata
    • Journal Title

      Banach Center Publications

      Volume: (未定)(In press)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Journal Article] Markov product of positive definite kernels ...2011

    • Author(s)
      Nobuaki Obata
    • Journal Title

      Colloq. Math.

      Volume: 122 Pages: 177-184

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23654046
  • [Journal Article] A note on convolution operators in white noise calculus2011

    • Author(s)
      Nobuaki Obata, Habib Ouerdiane
    • Journal Title

      Infin.Dimen.Anal.Quantum Probab.Rel.Top.

      Volume: 14 Pages: 661-674

    • DOI

      10.1142/s0219025711004535

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340027
  • [Journal Article] Markov product of positive definite kernels and applications to Q-matrices of graph products2011

    • Author(s)
      Nobuaki Obata
    • Journal Title

      Colloq. Math

      Volume: 122(2) Pages: 177-184

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23654046
  • [Journal Article] Quantum white noise derivatives and associated differential equations for white noise operators2010

    • Author(s)
      Un Cig Ji, Nobuaki Obata
    • Journal Title

      Proceedings of the 29th Conference of IDAQP(H.Ouerdiane and A.Barhoumi, Eds.)(World Sci.)

      Volume: (未定) Pages: 42-54

    • Data Source
      KAKENHI-PROJECT-20340025
  • [Journal Article] Spectral properties of the threshold network model2010

    • Author(s)
      Y.Ide, N.Konno, 尾畑伸明
    • Journal Title

      Internet Math. (印刷中)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19654024
  • [Journal Article] Spectral properties of the threshold network model2010

    • Author(s)
      Yosuke Ide, Norio Konno, Nobuaki Obata
    • Journal Title

      Internet Mathematics (In Press)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Journal Article] Spectral properties of the threshold network model2010

    • Author(s)
      Y. Ide, N. Konno and N. Obata
    • Journal Title

      Internet Math.

      Volume: 6 Pages: 173-187

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Journal Article] Implementation problem for the canonical commutation relation in terms of quantum white noise derivatives2010

    • Author(s)
      Un Cig Ji, Nobuaki Obata
    • Journal Title

      J.Math.Phys.

      Volume: 51 Pages: 123507-123507

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Journal Article] Markov product of positive definite kernels and applications to Q-matrices of graph products2010

    • Author(s)
      N. Obata
    • Journal Title

      Colloq. Math.

      Volume: 122 Pages: 177-184

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Journal Article] Implementation problem for the canonical commutation relation in terms of quantum white noise derivatives2010

    • Author(s)
      U. C. Ji and N. Obata
    • Journal Title

      J. Math. Phys.

      Volume: 51 Pages: 173-187

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Journal Article] Annihilation-derivative, creation-derivative and representation of quantum martingales2009

    • Author(s)
      U. C. Ji, N. Obata
    • Journal Title

      Commun. Math. Phys. 286

      Pages: 751-775

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340021
  • [Journal Article] Annihilation-derivative, creation-derivative and representation of Quantum martingales2009

    • Author(s)
      Un Cig Ji, Nobuaki Obata
    • Journal Title

      Commun. Math. Phys. 286

      Pages: 751-775

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19654024
  • [Journal Article] Annihilation-derivative, creation-derivative and representation of quantum martingales2009

    • Author(s)
      U. C. Ji, and N. Obata
    • Journal Title

      Comm. Math. Phys. 286

      Pages: 751-775

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340043
  • [Journal Article] Quantum stochastic gradient2009

    • Author(s)
      U. C. Ji and N. Obata
    • Journal Title

      Interdisciplinary Information Sciences

      Volume: 15 Pages: 345-359

    • NAID

      130000120883

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Journal Article] Quantum stochastic integral representations of Fock space operators2009

    • Author(s)
      Un Cig Ji and Nobuaki Obata
    • Journal Title

      Stochastics (In press)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Journal Article] Quantum stochastic integral representations of Fock space operators2009

    • Author(s)
      Un Cig Ji, 尾畑伸明
    • Journal Title

      Stochastics 81

      Pages: 367-384

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19654024
  • [Journal Article] Quantum stochastic integral representations of Fock space operators2009

    • Author(s)
      Un Cig Ji, Nobuaki Obata
    • Journal Title

      Stochastics 81

      Pages: 367-384

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Journal Article] Annihilation-derivative, creation-derivative and representation of quantum martingales2009

    • Author(s)
      Un Cig Ji and Nobuaki Obata
    • Journal Title

      Commun. Math. Phys. 286

      Pages: 751-775

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Journal Article] Annihilation-derivative, creation-derivative and representation of quantum martingales2009

    • Author(s)
      U. C. Ji and N. Obata
    • Journal Title

      Commun. Math. Phys. 286

      Pages: 751-775

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340021
  • [Journal Article] グラフのスペクトル解析における量子確率論の手法2009

    • Author(s)
      尾畑伸明
    • Journal Title

      第26回代数的組合せ論シンポジウム報告集

      Pages: 102-125

    • Data Source
      KAKENHI-PROJECT-19654024
  • [Journal Article] Quantum stochastic integral representations of Fock space operators2009

    • Author(s)
      U. C. Ji, N. Obata
    • Journal Title

      Stochastics (掲載決定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340021
  • [Journal Article] Annihilation-derivative, creation-derivative and representation of quantum martingales2009

    • Author(s)
      U. C. Ji and N. Obata
    • Journal Title

      Comm. Math. Phys. 286

      Pages: 751-775

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340043
  • [Journal Article] Quantum stochastic integral representations of Fock space operators2009

    • Author(s)
      Un Cig Ji, Nobuaki Obata
    • Journal Title

      Stochastics (In press)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19654024
  • [Journal Article] Annihilation-derivative, creation-derivative and representation of quantum martingales2009

    • Author(s)
      Un Cig Ji, Nobuaki Obata
    • Journal Title

      Commun.Math.Phys. 286

      Pages: 751-775

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Journal Article] Annihilation-derivative, creation-derivative and representation of quantum martingales2009

    • Author(s)
      U. C. Ji and N. Obata
    • Journal Title

      Math. Phys.

      Volume: 286 Pages: 751-775

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Journal Article] Annihilation-derivative, creation-derivative and representation of quantum martingales2009

    • Author(s)
      Un Cig Ji, 尾畑伸明
    • Journal Title

      Commun.Math.Phys. 286

      Pages: 751-775

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19654024
  • [Journal Article] Quantum stochastic gradients2009

    • Author(s)
      Un Cig Ji, Nobuaki Obata
    • Journal Title

      Interdisciplinary Information Sciences 15

      Pages: 345-359

    • NAID

      130000120883

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Journal Article] Quantum stochastic gradient2009

    • Author(s)
      Un Cig Ji, 尾畑伸明
    • Journal Title

      Interdisciplinary Information Sciences 15

      Pages: 345-359

    • NAID

      130000120883

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19654024
  • [Journal Article] 量子確率論とグラフのスペクトル解析2009

    • Author(s)
      尾畑伸明
    • Journal Title

      数理物理2009「ベキ乗則の数理」(東京大学)

      Pages: 1-40

    • Data Source
      KAKENHI-PROJECT-19654024
  • [Journal Article] Quantum stochastic integral representations of Fock space operators2009

    • Author(s)
      U. C. Ji and N. Obata
    • Journal Title

      Stochastics

      Volume: 81 Pages: 367-384

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Journal Article] Quantum stochastic integral representations of Fock space operators2009

    • Author(s)
      U. C. Ji and N. Obata
    • Journal Title

      Stochastics (掲載決定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340021
  • [Journal Article] ホワイトノイズ解析の新展開2008

    • Author(s)
      尾畑伸明
    • Journal Title

      量子情報の数理に関する研究〜エントロピー・ゆらぎ・ミクロとマクロ・アルゴリズム・生命情報〜国際高等研究所報告書 0801

      Pages: 173-192

    • Data Source
      KAKENHI-PROJECT-19654024
  • [Journal Article] Asymptotic spectral analysis of growing regular graphs2008

    • Author(s)
      A. Hora and N. Obata
    • Journal Title

      Trans. Amer. Math. Soc. 360

      Pages: 899-923

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340043
  • [Journal Article] Asymptotic spectral analysis of growing regular graphs2008

    • Author(s)
      Akihito Hora, Nobuaki Obata
    • Journal Title

      Trans. Amer. Math. Soc. 360

      Pages: 899-923

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19654024
  • [Journal Article] Asymptotic spectral analysis of growing regular graphs.2008

    • Author(s)
      Hora, Akihito; Obata, Nobuaki
    • Journal Title

      Trans. Amer. Math. Soc. 360 no.2

      Pages: 899-923

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340013
  • [Journal Article] Asymptotic spectral analysis of growing regular graphs2008

    • Author(s)
      A. Hora and N. Obata
    • Journal Title

      Trans. Amer. Math. Soc

      Volume: 360 Pages: 899-923

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Journal Article] Asymptotic spectral analysis of growing regular graphs2008

    • Author(s)
      A. Hora, N. Obata
    • Journal Title

      Trans. Amer. Math. Soc. 360

      Pages: 899-923

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340032
  • [Journal Article] ホワイトノイズ解析の新展開2008

    • Author(s)
      尾畑伸明
    • Journal Title

      量子情報の数理に関する研究〜エントロピー・ゆらぎ・ミクロとマクロ・アルゴリズム・生命情報〜国際高等研究所報告書 0801

      Pages: 173-192

    • Data Source
      KAKENHI-PROJECT-20340025
  • [Journal Article] Notions of independence in quantum probability and spectral analysis of graphs2008

    • Author(s)
      Nobuaki Obata
    • Journal Title

      Amer. Math. Soc. Transl. 223

      Pages: 115-136

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19654024
  • [Journal Article] Asymptotic spectral analysis of growing regular graphs2008

    • Author(s)
      Hora, Akihito; Obata, nobuaki
    • Journal Title

      Trans. Amer. Math. Soc. 360, no. 2

      Pages: 899-923

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340013
  • [Journal Article] Asymptotic spectral analysis of growing regular graphs2008

    • Author(s)
      A. Hora, N. Obata
    • Journal Title

      Transactions of American Mathematical Society 360

      Pages: 899-923

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340032
  • [Journal Article] Asymptotic spectral analysis of growing regular graphs2008

    • Author(s)
      A. Hora, and N. Obata
    • Journal Title

      Trans. Amer. Math. Soc. 360

      Pages: 899-923

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340043
  • [Journal Article] Asymptotic spectral analysis of growing regular graphs2008

    • Author(s)
      Akihito flora and Nobuaki Obata
    • Journal Title

      Trans. Amer. Math. Soc. 360

      Pages: 899-923

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Journal Article] Asymptotic spectral analysis of growing regular graphs2008

    • Author(s)
      Akihito Hora and Nobuaki Obata
    • Journal Title

      Trans. Amer. Math. Soc. 360

      Pages: 899-923

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19654024
  • [Journal Article] Notions of independence in quantum probability and spectral analysis of graphs2008

    • Author(s)
      N. Obata
    • Journal Title

      Amer. Math. Soc. Transl

      Volume: 223 Pages: 115-136

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Journal Article] Notions of independence in quantum probability and spectral analysis of graphs2008

    • Author(s)
      Nobuaki Obata
    • Journal Title

      Amer. Math. Soc. Transl. 223

      Pages: 115-136

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Journal Article] Asymptotic spectral analysis of growing regular graphs, Trans2008

    • Author(s)
      A. Hora and N. Obata
    • Journal Title

      Amer. Math. Soc 36

      Pages: 899-923

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340021
  • [Journal Article] Asymptotic spectral analysis of growing regular graphs2008

    • Author(s)
      Hora, N.Obata
    • Journal Title

      Transactions of American Mathematical Society Vol.360

      Pages: 899-923

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340032
  • [Journal Article] Generalized white noise operator fields and quantum white noise derivatives2008

    • Author(s)
      U. C. Ji and N. Obata
    • Journal Title

      Seminaires et Congres

      Volume: 16 Pages: 17-33

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Journal Article] Quantum probability and spectral analysis of graphs. With a foreword by Luigi Accardi2007

    • Author(s)
      Hora, Akihito; Obata, nobuaki
    • Journal Title

      Theoretical and Mathematical Physics

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340013
  • [Journal Article] Positive $Q$-matrices of graphs2007

    • Author(s)
      Obata, Nobuaki
    • Journal Title

      Studia math 179, no. 1

      Pages: 81-97

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340013
  • [Journal Article] Positive Q-matrices of graphs2007

    • Author(s)
      Nobuaki Obata
    • Journal Title

      Studia Math. 179

      Pages: 81-97

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340043
  • [Journal Article] Hitsuda-Skorohod quantum stochatic integrals in terms of quantum stochastic gradients2007

    • Author(s)
      Un Cig Ji and Nobuaki Obata
    • Journal Title

      京都大学数理解析研究所講究録 1565

      Pages: 143-156

    • Data Source
      KAKENHI-PROJECT-19654024
  • [Journal Article] Positive Q-matrices of graphs2007

    • Author(s)
      N. Obata
    • Journal Title

      Studia Math. 179

      Pages: 81-97

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340043
  • [Journal Article] Quantum Levy Laplacian and associated heat equation2007

    • Author(s)
      N. Obata and U. C. JI
    • Journal Title

      J. Funct. Anal. 249

      Pages: 31-54

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340013
  • [Journal Article] Partial unitarity arising from quadratic quantum white noise2007

    • Author(s)
      W. Ayed, N. Obata, H. Ouerdiane
    • Journal Title

      Mathematical analysis of random phenomena

      Pages: 45-55

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340013
  • [Journal Article] Ourdiane, Habib Quantum Levy Laplacian and associated heat equation2007

    • Author(s)
      Ji, Un Cig; obata, Nobuaki
    • Journal Title

      J. Funct. Anal 249, no. 1

      Pages: 31-54

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340013
  • [Journal Article] Positive Q-matrices of graphs2007

    • Author(s)
      Nobuaki Obata
    • Journal Title

      Studia Math. 179

      Pages: 81-97

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19654024
  • [Journal Article] Quantum Levy Laplacian and associated heat equation2007

    • Author(s)
      Un Cig Ji, Nobuaki Obata And Habib Ouerdiane
    • Journal Title

      J. Funct. Anal. 249

      Pages: 31-54

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19654024
  • [Journal Article] Generalized white noise operator fields and quantum white noise derivatives2007

    • Author(s)
      Un Cig Ji and Nobuaki Obata
    • Journal Title

      Seminaires et Congres 16

      Pages: 17-33

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19654024
  • [Journal Article] Partial unitarity arising from quadratic quantum white noise2007

    • Author(s)
      Wided Ayed, Nobuaki Obata and Habib Ouerdiane
    • Journal Title

      Mathematical Analysis of Random Phenomena A. B. Cruzeiro, H. Ouerdiane and N. Obata, Eds. World Scientific

      Pages: 45-55

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19654024
  • [Journal Article] ouerdiane, Habib Partial unitarity arising from quadratec quantum white noise2007

    • Author(s)
      Ayed, Wided; Obata, Nobuaki
    • Journal Title

      Mathematical analysis of random phenomena

      Pages: 45-55

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340013
  • [Journal Article] Quantum Levy Laplacian and associated heat equation2007

    • Author(s)
      U. C. Ji, N. Obata, and H. Ouerdiane
    • Journal Title

      J. Funct. Anal. 249

      Pages: 31-54

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340043
  • [Journal Article] Positive Q matrix of graphs2007

    • Author(s)
      N. Obata
    • Journal Title

      Studia Math 179

      Pages: 81-97

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340013
  • [Journal Article] Quantum Levy Laplacian and associated heat equation2007

    • Author(s)
      N. Obata and U.C. JI
    • Journal Title

      J. Funct. Anal. 249

      Pages: 31-54

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340013
  • [Journal Article] Asymptotic spectral analysis of growing regular graphs2006

    • Author(s)
      A.Hora, N.Obata
    • Journal Title

      Trans.Amer.Math.Soc. (印刷中)

    • Data Source
      KAKENHI-PROJECT-17340021
  • [Journal Article] Unitarity of generalized Fourier--Gauss transforms2006

    • Author(s)
      U.C.Ji, N.Obata
    • Journal Title

      Stochastic Anal.Appl. (印刷中)

    • Data Source
      KAKENHI-PROJECT-17340021
  • [Journal Article] Unitarity of generalized Fourier--Gauss transforms2006

    • Author(s)
      U.C.Ji, N.Obata
    • Journal Title

      Stochastic Anal.Appl. (in press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340039
  • [Journal Article] Unitarity of generalized Fourier-gauss transforms2006

    • Author(s)
      Ji, Un Cig; Obata, Nobuaki
    • Journal Title

      Stoch. Anual. Appl. 24, no. 4

      Pages: 733-751

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340013
  • [Journal Article] Konno's paper on quantum walk: "Continuous-time quantum walks on trees in quantum probability theory"2006

    • Author(s)
      Obata, Nobuaki A note on N.
    • Journal Title

      Infin. Dimens. Anal. Quantum Probab. Relat. Top. 9, no. 2

      Pages: 287-297

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340013
  • [Journal Article] Unitarity of generalized Fourier-Gauss transforms2006

    • Author(s)
      J.U.Cig, N.Obata
    • Journal Title

      Stoch.Anal.Appl. 4

      Pages: 735-751

    • Data Source
      KAKENHI-PROJECT-16340013
  • [Journal Article] Asymptotic spectral analysis of growing regular graphs2006

    • Author(s)
      Akihito Hora, Nobuaki Obata
    • Journal Title

      Trans.Amer.Math.Soc. (印刷中)

    • Data Source
      KAKENHI-PROJECT-15340039
  • [Journal Article] An interacting Fock space with periodic Jacobi parameter obtained from regular graphs in large scale limit.2006

    • Author(s)
      A. Hora, and N. Obata
    • Journal Title

      Quantum information V, World Sci. Publ., Hackensack, NJ

      Pages: 121-144

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340013
  • [Journal Article] Asymptotic spectral analysis of growing Graphs:a quantum probabilistic approach.2006

    • Author(s)
      N.Obata
    • Journal Title

      Methods and applications of infinite Dimensional analysis, Cent. Visayan Inst. Found., janga

      Pages: 62-85

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340013
  • [Journal Article] Unitarity of generalized Fourier-Gauss transforms2006

    • Author(s)
      U. C. JI and N. Obata
    • Journal Title

      Stoch. Anual. Appl. 24 no.4

      Pages: 733-751

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340013
  • [Journal Article] A note on N. Konno's paper on quantum walk : "Continuous-time quantum walks on trees in quantum probability theory2006

    • Author(s)
      N.Obata
    • Journal Title

      Infinite Anal. Quantum. Probab. Relat.Top. 9

      Pages: 287-297

    • Data Source
      KAKENHI-PROJECT-16340013
  • [Journal Article] Unitarity of generalized Fourier-Gauss transforms2006

    • Author(s)
      U. C. Ji and, N. Obata
    • Journal Title

      Stoch. Anal. Appl. 24

      Pages: 733-751

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340043
  • [Journal Article] Asymptotic spectral analysis of growing regular graphs2006

    • Author(s)
      A.Hora, N.Obata
    • Journal Title

      Trans. Amer. Math. Soc. (In press)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340039
  • [Journal Article] An interacting Fock space with periodic Jacobi parameters obtained from regular graphs in large scale limit2006

    • Author(s)
      A.Hora, N.Obata
    • Journal Title

      Quantum Information V (K.Saito, Ed.) (World Scientific)

      Pages: 121-144

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340039
  • [Journal Article] A note on Konno's paper on quantum walk2006

    • Author(s)
      N. Obata
    • Journal Title

      Infin. Dimens. Anal. Quantum Probab. Relat. Top. 9

      Pages: 299-304

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340043
  • [Journal Article] Asymptotic spectral analysis of growing graphs : Odd graphs and spidernets2006

    • Author(s)
      D.Igarashi, N.Obata
    • Journal Title

      Banach Center Publications (In press)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340039
  • [Journal Article] Asymptotic spectral analysis of growing graphs : Odd graphs and Spidernets2006

    • Author(s)
      Daisuke Igarashi, Nobuaki Obata
    • Journal Title

      Banach Center Publications (印刷中)

    • Data Source
      KAKENHI-PROJECT-15340039
  • [Journal Article] Asymptotic spectral analysis of growing graphs : Odd graphs and spidernets2006

    • Author(s)
      D.Igarashi, N.Obata
    • Journal Title

      Banach Center Publications (in press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340039
  • [Journal Article] Asymptotic spectral analysis of growing regular graphs2006

    • Author(s)
      A.Hora, N.Obata
    • Journal Title

      Trans.Amer.Math.Soc. (in press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340039
  • [Journal Article] Unitarity of generalized Fourier-Gauss transforms2006

    • Author(s)
      U.C.Ji, N.Obata
    • Journal Title

      Stochastic Anal. Appl. (In press)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340039
  • [Journal Article] A note on N. Konno's paper on quantum walk: ゛Continuous-time quantum walks on trees in quantum probability theory゛2006

    • Author(s)
      N. Obata
    • Journal Title

      Infin. Dimens. Anal. Quantum Probab. Relat. Top. 9 no.2

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340013
  • [Journal Article] An interacting Fock space with periodic Jacobi parameter obtained from regular graphs in large scale limit2006

    • Author(s)
      Hora, Akihito; obata, Nobuaki
    • Journal Title

      Quantum information V(World Sci. Publ.)

      Pages: 121-144

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340013
  • [Journal Article] An interacting Fock space with periodic Jacobi parameters obtained from regular graphs in large scale limit2006

    • Author(s)
      A.Hora, N.Obata
    • Journal Title

      Quantum Information, World Scientific V

      Pages: 121-144

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340039
  • [Journal Article] A note on Konno's paper on quantum walk2006

    • Author(s)
      Nobuaki Obata
    • Journal Title

      Infin. Dimens. Anal. Quantum Probab. Relat. Top. 9

      Pages: 299-304

    • Data Source
      KAKENHI-PROJECT-17340043
  • [Journal Article] Unitarity of generalized Fourier-Gauss transforms2006

    • Author(s)
      Un Cig Ji, Nobuaki Obata
    • Journal Title

      Stoch.Anal.Appl. (印刷中)

    • Data Source
      KAKENHI-PROJECT-15340039
  • [Journal Article] Asymptotic spectral analysis of growing Graphs: a quantum probabilistic approach2006

    • Author(s)
      Obata, Nobuaki
    • Journal Title

      Methods and applications of infinite Dimensional analysis

      Pages: 62-85

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340013
  • [Journal Article] Generalized white noise operators fields and quantum white noise derivatives2005

    • Author(s)
      N.Obata, A.Hora
    • Journal Title

      Rev.Sem.Congr.Soc.Math.France (発表予定)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340028
  • [Journal Article] Admissible white noise operators and their quantum white noise derivatives2005

    • Author(s)
      Un Cig Ji, Nobuaki Obata
    • Journal Title

      Infinite Dimensional Harmonic Analysis, World Scientific III

      Pages: 213-232

    • Data Source
      KAKENHI-PROJECT-15340039
  • [Journal Article] White noise operators associated with the Cochran--Kuo--Sengupta space2005

    • Author(s)
      N.Obata
    • Journal Title

      Proc.Japan--Germany Seminar (発表予定)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340028
  • [Journal Article] Admissible white noise operators and their quantum white noise derivatives. Infinite dimensional harmonic analysis III2005

    • Author(s)
      Ji, Un Cig; Obata, Nobuaki
    • Journal Title

      (World Sci. Publ.)

      Pages: 213-232

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340013
  • [Journal Article] An interacting Fock space with periodic Jacobi parameter obtained from regular graphs in large scale limit2005

    • Author(s)
      N.Obata, A.Hora
    • Journal Title

      Quantum Information V (World Scientific) (発表予定)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340028
  • [Journal Article] Admissible white noise operators and their quantum white noise derivatives. Infinite dimensional harmonic analysis III2005

    • Author(s)
      U. C. JI and N. Obata
    • Journal Title

      World Sci. Publ., Hackensack, NJ

      Pages: 213-232

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340013
  • [Journal Article] Asymptotic spectral analysis of growing graphs : Odd graphs and spidernets2005

    • Author(s)
      N.Obata, D.Igarashi
    • Journal Title

      Banach Center Publications (発表予定)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340028
  • [Journal Article] Notions of independence in quantum probability theory and spectral analysis of graphs2005

    • Author(s)
      N.Obata
    • Journal Title

      Sugaku (in Japanese) 57

      Pages: 1-20

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340039
  • [Journal Article] Notions of independence in quantum probability theory and spectral analysis of graphs.2005

    • Author(s)
      N. Obata
    • Journal Title

      (Japanese) Sugaku 57 no.1

      Pages: 1-20

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340013
  • [Journal Article] Admissible white noise operators and their quantum white noise derivatives2005

    • Author(s)
      N.Obata, U.C.Ji
    • Journal Title

      Proc.of Infinite Dimensional Harmonic Analysis at Tubingen (発表予定)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340028
  • [Journal Article] Admissible white noise operators and their quantum white noise derivatives2005

    • Author(s)
      U.C.Ji, N.Obata
    • Journal Title

      Infinite Dimensional Harmonic Analysis, World Scientific III

      Pages: 213-232

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340039
  • [Journal Article] 量子確率論における独立性とグラフのスペクトル解析2005

    • Author(s)
      尾畑伸明
    • Journal Title

      数学 57

      Pages: 1-20

    • NAID

      10016419014

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340039
  • [Journal Article] Notions of independence in quantum probability theory and spectral analysis of graphs2005

    • Author(s)
      Obata, Nobuak
    • Journal Title

      (Japanese) Sugaku 57, no. 1

      Pages: 1-20

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340013
  • [Journal Article] Admissible white noise operators and their quantum white noise derivatives2005

    • Author(s)
      U.C.Ji, N.Obata
    • Journal Title

      Infinite Dimensional Harmonic Analysis III (H.Heyer, T.Hirai, T.Kawazoe, K.Saito, Eds.) (World Scientific)

      Pages: 213-232

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340039
  • [Journal Article] Quantum probabilistic approach to spectral analysis of star graphs. The Proceedings of the Second Sendai Workshop on Quantum Probability and Quantum Information2004

    • Author(s)
      Obata, Nobuaki
    • Journal Title

      Interdiscip. Inform. Sci. 10, no. 1

      Pages: 41-52

    • NAID

      110000071632

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340013
  • [Journal Article] Heat equation associated with L'evy Laplacian2004

    • Author(s)
      N.Obata, H.Ouerdiane
    • Journal Title

      Proc.Int.Conf.Stochastic Analysis and Applications (Kluwer)

      Pages: 53-68

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340028
  • [Journal Article] Unitarity of Kuo's Fourier-Mehler transform2004

    • Author(s)
      U.C.Ji, N.Obata
    • Journal Title

      Infin. Dimen. Anal. Quantum Probab. Rel. Top. 7

      Pages: 147-154

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340039
  • [Journal Article] Unitarity of Kuo's Fourier-Mehler transform2004

    • Author(s)
      N.Obata, U.C.Ji
    • Journal Title

      Infin.Dimen.Anal.Quantum Probab.Rel.Top 7

      Pages: 147-154

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340028
  • [Journal Article] Unitarity of Kuo's Fourier-Mehler transform.2004

    • Author(s)
      U. C. JI and N. Obata
    • Journal Title

      Infin. Dimens. Anal. Quantum Probab. Relat. Top. 7 no.1

      Pages: 147-154

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340013
  • [Journal Article] Ouerdiane, habib Heat equation associated with levy Laplacian2004

    • Author(s)
      Obata, Nobuaki
    • Journal Title

      Proceedings of the International Conference on Stochastic Analysis and Applications(Kluwer Acad. Publ.)

      Pages: 53-68

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340013
  • [Journal Article] Quantum probabilistic approach to spectral analysis of star graphs2004

    • Author(s)
      N.Obata
    • Journal Title

      Interdisciplinary Information Sciences 10

      Pages: 41-52

    • NAID

      110000071632

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340039
  • [Journal Article] Unitarity of Kuo's Fourier-Mehler transform2004

    • Author(s)
      N.Obata (with U.C.Ji)
    • Journal Title

      Infin.Dimen.Anal.Quantum Probab.Rel.Top. 7

      Pages: 147-154

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340028
  • [Journal Article] Monotone independence, comb graphs and Bose-Einstein condensation.2004

    • Author(s)
      L. Accardi, A. Ben Ghorbal and N. Obata
    • Journal Title

      Infin. Dimens. Anal. Quantum Probab. Relat. Top. 7 no.3

      Pages: 419-435

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340013
  • [Journal Article] Monotone independence, comb graphs and Bose-Einstein condensation2004

    • Author(s)
      Accardi, Luigi; Ben Ghorbal, Anis; Obata, Nobuaki
    • Journal Title

      Infin. Dimens. Anal. Quantum Probab. Relat. Top. 7, no. 3

      Pages: 419-435

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340013
  • [Journal Article] Quantum probabilistic approach to spectral analysis of star graphs2004

    • Author(s)
      N.Obata
    • Journal Title

      Interdiscip.Inform.Sci. 10

      Pages: 41-52

    • NAID

      110000071632

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340039
  • [Journal Article] A role of Bargmann-Segal spaces in characterization and expansion of operators on Fock space.2004

    • Author(s)
      U. C. JI and N. Obata
    • Journal Title

      J. Math. Soc. Japan 56 no.2

      Pages: 311-338

    • NAID

      10013122855

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340013
  • [Journal Article] Monotone independence, comb graphs and Bose--Einstein condensation2004

    • Author(s)
      N.Obata, L.Accardi, A.Ben Ghorbal
    • Journal Title

      Infin.Dimen.Anal.Quantum Probab.Rel.Top 7

      Pages: 419-435

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340028
  • [Journal Article] Heat equation associated with Levy Laplacian2004

    • Author(s)
      N.Obata, H.Ouerdiane
    • Journal Title

      Proceedings of the Internatational Conference on Stochastic Analysis and Applications, Kluwer

      Pages: 53-68

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340039
  • [Journal Article] A role of Bargmann--Segal spaces in characterization and expansion of operators on Fock space2004

    • Author(s)
      Un Cig Ji, Nobuaki Obata
    • Journal Title

      J.Math.Soc.Japan 56

      Pages: 311-338

    • NAID

      10013122855

    • Data Source
      KAKENHI-PROJECT-15340039
  • [Journal Article] Quantum probabilistic approach to spectral analysis of star graphs. The Proceedings of the Second Sendai Workshop on Quantum Probability and Quantum Information.2004

    • Author(s)
      N. Obata
    • Journal Title

      Interdiscip. Inform. Sci. 10 no.1

      Pages: 41-52

    • NAID

      110000071632

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340013
  • [Journal Article] A role of Bargmann-Segal spaces in characterization and expansion of operators on Fock space2004

    • Author(s)
      N.Obata (with U.C.Ji)
    • Journal Title

      J.Math.Soc.Japan 56

      Pages: 311-338

    • NAID

      10013122855

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340028
  • [Journal Article] Unitarity of Kuo's Fourier--Mehler transform2004

    • Author(s)
      U.C.Ji, N.Obata
    • Journal Title

      Infin.Dimen.Anal.Quantum Probab.Rel.Top. 7

      Pages: 147-154

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340039
  • [Journal Article] A role of Bargmann-Segal spaces in characterization and expansion of operators on Fock space2004

    • Author(s)
      N.Obata, U.C.Ji
    • Journal Title

      J.Math.Soc.Japan 56

      Pages: 311-338

    • NAID

      10013122855

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340028
  • [Journal Article] Heat equation associated with Levy Laplacian2004

    • Author(s)
      N.Obata, H.Ouerdiane
    • Journal Title

      Proceedings of the Internatational Conference on Stochastic Analysis and Applications (S.Albeverio, A.B.de Monvel and H.Ouerdiane, Eds.) (Kluwer Academic Publishers)

      Pages: 53-68

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340039
  • [Journal Article] Unitarity of Kuo's Fourier--Mehler transform2004

    • Author(s)
      Un Cig Ji, Nobuaki Obata
    • Journal Title

      Infin.Dimen.Anal.Quantum Probab.Rel.Top. 7

      Pages: 147-154

    • Data Source
      KAKENHI-PROJECT-15340039
  • [Journal Article] Heat equation associated with L'evy Laplacian2004

    • Author(s)
      N.Obata (with H.Ouerdiane)
    • Journal Title

      Proc.Int.Conf.Stochastic Analysis and Applications(edited by S.Albeverio, A.B.de Monvel and H.Ouerdiane)(Kluwer Academic Publishers)

      Pages: 53-68

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340028
  • [Journal Article] A role of Bargmann-Segal spaces in characterization and expansion of operators on Fock space2004

    • Author(s)
      U.C.Ji, N.Obata
    • Journal Title

      J.Math.Soc.Japan 56

      Pages: 311-338

    • NAID

      10013122855

    • Data Source
      KAKENHI-PROJECT-14340028
  • [Journal Article] Monotone independence, comb graphs and Bose--Einstein condensation2004

    • Author(s)
      N.Obata (with L.Accardi, A.Ben Ghorbal)
    • Journal Title

      Infin.Dimen.Anal.Quantum Probab.Rel.Top. 7

      Pages: 419-435

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340028
  • [Journal Article] Monotone independence, comb graphs and Bose--Einstein condensation2004

    • Author(s)
      L.Accardi, A.Ben Ghorbal, N.Obata
    • Journal Title

      Infin.Dimen.Anal.Quantum Probab.Rel.Top. 7

      Pages: 419-435

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340039
  • [Journal Article] Monotone independence, comb graphs and Bose-Einstein condensation2004

    • Author(s)
      Luigi Accardi, Anis Ben Ghorbal, Nobuaki Obata
    • Journal Title

      Infin.Dimen.Anal.Quantum Probab.Rel.Top 7

      Pages: 419-435

    • Data Source
      KAKENHI-PROJECT-15340039
  • [Journal Article] Heat equation associated with Levy Laplacian2004

    • Author(s)
      Nobuaki Obata, Habib Ouerdiane
    • Journal Title

      Proceedings of the Internatational Conference on Stochastic Analysis and Applications

      Pages: 53-68

    • Data Source
      KAKENHI-PROJECT-15340039
  • [Journal Article] A role of Bargmann--Segal spaces in characterization and expansion of operators on Fock space2004

    • Author(s)
      U.C.Ji, N.Obata
    • Journal Title

      J. Math. Soc. Japan 56

      Pages: 311-338

    • NAID

      10013122855

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340039
  • [Journal Article] Monotone independence, comb graphs and Bose-Einstein condensation2004

    • Author(s)
      L.Accardi, A.Ben Ghorbal, N.Obata
    • Journal Title

      Infin. Dimen. Anal. Quantum Probab. Rel. Top. 7

      Pages: 419-435

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340039
  • [Journal Article] Proceedings of the second Sendai Workshop on Quantum Probability and Quantum Information2004

    • Author(s)
      F.Hiai, N.Obata, M.Ozawa (eds.)
    • Journal Title

      Interdisciplinary Information Sciences Vol.10, No.1

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340039
  • [Journal Article] Heat equation associated with Levy Laplacian.2004

    • Author(s)
      N. Obata and H. Ouerdiane
    • Journal Title

      Proceedings of the International Conference on Stochastic Analysis and Applications, Kluwer Acad. Publ., Dordrecht

      Pages: 53-68

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16340013
  • [Journal Article] Quantum probabilistic approach to spectral analysis of star graphs2004

    • Author(s)
      N.Obata
    • Journal Title

      Interdiscip.Inform.Sci. 10

      Pages: 41-52

    • NAID

      110000071632

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340028
  • [Journal Article] Quantum probabilistic approach to spectral analysis of star graphs2004

    • Author(s)
      Nobuaki Obata
    • Journal Title

      Interdisciplinary Information Sciences 10

      Pages: 41-52

    • NAID

      110000071632

    • Data Source
      KAKENHI-PROJECT-15340039
  • [Journal Article] A role of Bargmann-Segal spaces in characterization and expansion of operators on Fock space2004

    • Author(s)
      Ji, Un Cig; Obata, Nobuaki
    • Journal Title

      J. Math. Soc. Japan 56, no. 2

      Pages: 311-338

    • NAID

      10013122855

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16340013
  • [Journal Article] Monotone independence, comb graphs and Bose--Einstein condensation2004

    • Author(s)
      L.Accardi, A.Ben Ghorbal, N.Obata
    • Journal Title

      Infin.Dumen.Anal.Quantum Probab.Rel.Top 7

      Pages: 419-435

    • Data Source
      KAKENHI-PROJECT-14340028
  • [Journal Article] Quantum probabilistic approach to spectral analysis of star graphs2004

    • Author(s)
      N.Obata
    • Journal Title

      Interdisciplinary Information Sciences 10

      Pages: 41-52

    • NAID

      110000071632

    • Data Source
      KAKENHI-PROJECT-16340013
  • [Journal Article] A role of Bargmann--Segal spaces in characterization and expansion of operators on Fock space2004

    • Author(s)
      U.C.Ji, N.Obata
    • Journal Title

      J.Math.Soc.Japan 56

      Pages: 311-338

    • NAID

      10013122855

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340039
  • [Journal Article] Quantum decomposition and quantum central limit theorem2003

    • Author(s)
      A.Hora, N.Obata
    • Journal Title

      Fundamental Problems in Quantum Mechanics (L.Accardi and S.Tasaki, Eds.) (World Scientific)

      Pages: 284-305

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340039
  • [Journal Article] Quantum decomposition and quantum central limit theorem2003

    • Author(s)
      N.Obata (with A.Hora)
    • Journal Title

      Fundamental Problems in Quantum Physics(edited by L.Accardi and S.Tasaki)(World Scientific)

      Pages: 284-305

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340028
  • [Journal Article] Central limit theorems for large graphs : Method of quantum decomposition2003

    • Author(s)
      Y.Hashimoto, A.Hora, N.Obata
    • Journal Title

      J.Math.Phys. 44

      Pages: 71-88

    • NAID

      120002337737

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340039
  • [Journal Article] A unified characterization theorem in white noise theory2003

    • Author(s)
      U.C.Ji, N.Obata
    • Journal Title

      Infin.Dimen.Anal.Quantum Probab.Rel.Top. 6

      Pages: 167-178

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340039
  • [Journal Article] Quantum decomposition and quantum central limit theorem2003

    • Author(s)
      N.Obata, A.Hora
    • Journal Title

      Fundamental Problems in Quantum Physics (World Scientific)

      Pages: 284-305

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340028
  • [Journal Article] Central limit theorems for large graphs : Method of quantum decomposition2003

    • Author(s)
      Y.Hashimoto, A.Hora, N.Obata
    • Journal Title

      J.Math.Phys. 44

      Pages: 71-88

    • NAID

      120002337737

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340028
  • [Journal Article] A unified characterization theorem in white noise theory2003

    • Author(s)
      U.C.Ji, N.Obata
    • Journal Title

      Infin. Dimen. Anal. Quantum Probab. Rel. Top. 6

      Pages: 167-178

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340039
  • [Journal Article] Central limit theorems for large graphs : Method of quantum decomposition2003

    • Author(s)
      Y.Hashimoto, A.Hora, N.Obata
    • Journal Title

      J. Math. Phys. 44

      Pages: 71-88

    • NAID

      120002337737

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340039
  • [Journal Article] Quantum decomposition and quantum central limit theorem2003

    • Author(s)
      A.Hora, N.Obata
    • Journal Title

      Fundamental Problems in Quantum Mechanics (L.Accardi and S.Tasaki, Eds.), World Scientific,

      Pages: 284-305

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340039
  • [Journal Article] A unified characterization theorem in white noise theory2003

    • Author(s)
      N.Obata, U.C.Ji
    • Journal Title

      Infin.Dimen.Anal.Quantum Probab.Rel.Top. 6

      Pages: 167-178

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340028
  • [Journal Article] Central limit theorems for large graphs : Method of quantum decomposition2003

    • Author(s)
      N.Obata (with Y.Hashimoto, A.Hora)
    • Journal Title

      J.Math.Phys. 44

      Pages: 71-88

    • NAID

      120002337737

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340028
  • [Journal Article] A unified characterization theorem in white noise theory2003

    • Author(s)
      N.Obata (with Un Cig Ji)
    • Journal Title

      Infin.Dimen.Anal.Quantum Probab.Rel.Top. 6

      Pages: 167-178

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340028
  • [Journal Article] Quantum white noise calculus, in Non-Commutativity2002

    • Author(s)
      N.Obata, U.C.Ji
    • Journal Title

      Infinite-Dimensionality and Probability at the Crossroads (World Scientific)

      Pages: 143-191

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340028
  • [Journal Article] Inverse S-transform, Wick product and overcompleteness of exponential vectors2002

    • Author(s)
      N.Obata
    • Journal Title

      Quantum Information IV(edited by T.Hida and K.Saito)(World Scientific)

      Pages: 147-176

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340028
  • [Journal Article] Analytic characterization of generalized Fock space operators as two-variable entire functions with growth condition2002

    • Author(s)
      N.Obata (with U.C.Ji, H.Ouerdiane)
    • Journal Title

      Infin.Dimen.Anal.Quantum Probab.Rel.Top. 5

      Pages: 395-407

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340028
  • [Journal Article] Quantum stochastic analysis via white noise operators in weighted Fock space2002

    • Author(s)
      N.Obata (with D.M.Chung, U.C.Ji)
    • Journal Title

      Rev.Math.Phys. 14

      Pages: 241-272

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340028
  • [Journal Article] Diagonalization of the Levy Laplacian and related stable processes2002

    • Author(s)
      N.Obata (with H.-H.Kuo, K.Saito)
    • Journal Title

      Infin.Dimen.Anal.Quantum Probab.Rel.Top. 5

      Pages: 317-331

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340028
  • [Journal Article] Cauchy processes and the L'evy Laplacian2002

    • Author(s)
      N.Obata (with K.Saito)
    • Journal Title

      Non-Commutativity, Infinite-Dimensionality and Probability at the Crossroads(edited by N.Obata, T.Matsui and A.Hora)(World Scientific)

      Pages: 360-373

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340028
  • [Journal Article] Quantum white noise calculus2002

    • Author(s)
      N.Obata (with U.C.Ji)
    • Journal Title

      Non-Commutativity, Infinite-Dimensionality and Probability at the Crossroads(edited by N.Obata, T.Matsui and A.Hora)(World Scientific)

      Pages: 143-191

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340028
  • [Journal Article] Diagonalization of the Levy Laplacian and related stable processes2002

    • Author(s)
      N.Obata, H.-H.Kuo, K.Saito
    • Journal Title

      Infinite Dimen.Anal.Quantum Prob. 5

      Pages: 317-331

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340028
  • [Journal Article] Quantum stochastic analysis via white noise operators in weighted Fock space2002

    • Author(s)
      N.Obata, D.M.Chung, U.C.Ji
    • Journal Title

      Rev.Math.Phys. 14

      Pages: 241-272

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340028
  • [Journal Article] Cauchy processes and the L'evy Laplacian, in Non-Commutativity2002

    • Author(s)
      N.Obata, K.Saito
    • Journal Title

      Infinite-Dimensionality and Probability at the Crossroads (World Scientific)

      Pages: 360-373

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340028
  • [Journal Article] Inverse S-transform, Wick product and overcompleteness of exponential vectors2002

    • Author(s)
      N.Obata
    • Journal Title

      Quantum Information IV (World Scientific)

      Pages: 147-176

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340028
  • [Journal Article] Analytic characterization of generalized Fock space operators as two-variable entire functions with growth condition2002

    • Author(s)
      N.Obata, U.C.Ji, H.Ouerdiane
    • Journal Title

      Infinite Dimen.Anal.Quantum Prob. 5

      Pages: 395-407

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340028
  • [Journal Article] Asymptotic spectral analysis of growing graphs: Odd graphs and spidernets

    • Author(s)
      N.Obata (with D.Igarashi)
    • Journal Title

      Banach Center Publications (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340028
  • [Journal Article] Admissible white noise operators and their quantum white noise derivatives

    • Author(s)
      N.Obata (with U.C.Ji)
    • Journal Title

      Proc.of Infinite Dimensional Harmonic Analysis at Tubingen (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340028
  • [Journal Article] One-mode interacting Fock spaces and random walks on graphs

    • Author(s)
      N. Obata
    • Journal Title

      Stochastics

      Volume: (in press)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Journal Article] White noise operators associated with the Cochran--Kuo--Sengupta space

    • Author(s)
      N.Obata
    • Journal Title

      Proc.Japan--Germany Seminar. (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340028
  • [Journal Article] Generalized white noise operators fields and quantum white noise derivatives

    • Author(s)
      N.Obata (with U.C.Ji)
    • Journal Title

      Rev.Sem.Congr.Soc.Math.France (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340028
  • [Journal Article] An interacting Fock space with periodic Jacobi parameter obtained from regular graphs in large scale limit

    • Author(s)
      N.Obata (with A.Hora)
    • Journal Title

      Quantum Information V(edited by T.Hida and K.Saito)(World Scientific) (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340028
  • [Presentation] configuration modelにおける連結成分の統計的性質について2019

    • Author(s)
      長谷川雄央, 岩瀬優太, 五十嵐有美, 尾畑伸明
    • Organizer
      日本物理学会第74回年次大会
    • Data Source
      KAKENHI-PROJECT-16H03939
  • [Presentation] Quadratic embedding constants of graphs2019

    • Author(s)
      Nobuaki Obata
    • Organizer
      Non-Commutative Probability and Related Fields, Ochanomizu University
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19H01789
  • [Presentation] Spectral analysis of growing graphs: A quantum probability point of view2019

    • Author(s)
      Nobuaki Obata
    • Organizer
      Mini-Course Lectures, International Conference and PhD-Master Summer School on Groups and Graphs, Designs and Dynamics (G2D2), Three Gorges Mathematical Research Center, China
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19H01789
  • [Presentation] Theoretical framework for single-cell gene expression analysis2018

    • Author(s)
      飯田渓太・尾畑伸明・木村芳孝
    • Organizer
      第15回生物数学の理論とその応用
    • Data Source
      KAKENHI-PROJECT-16H03939
  • [Presentation] Quadratic embedding constants of graphs2018

    • Author(s)
      Nobuaki Obata
    • Organizer
      Second International Conference on Pure and Applied Mathematics 2018 (2nd ICPAM)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03939
  • [Presentation] Asymptotic spectral analysis of graphs and orthogonal polynomials in two variables.2018

    • Author(s)
      Nobuaki Obata
    • Organizer
      Joint Mathematics Meetings San Diego AMS Special Session on Orthogonal Polynomials, Quantum Probability, and Stochastic Analysis
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03939
  • [Presentation] グラフのスペクトル解析における量子確率論の手法2018

    • Author(s)
      尾畑伸明
    • Organizer
      日本数学会年会函数解析学分科会特別講演
    • Invited
    • Data Source
      KAKENHI-PROJECT-16H03939
  • [Presentation] Quadratic embedding constants of graphs2018

    • Author(s)
      Nobuaki Obata
    • Organizer
      International Workshop on Algebraic Combinatorics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03939
  • [Presentation] Asymptotic spectral analysis of growing graphs: Review and bivariate extension2018

    • Author(s)
      Nobuaki Obata
    • Organizer
      18th Workshop: Noncommutative Probability, Operators Algebras, Random Matrices and Related Topics, with Applications
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03939
  • [Presentation] Component sizes in random graphs2018

    • Author(s)
      Nobuaki Obata
    • Organizer
      International Conference on Control, Games and Stochastic Analysis
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03939
  • [Presentation] Quantum Probability and counting walks2017

    • Author(s)
      Nobuaki Obata
    • Organizer
      研究集会「量子論にまつわる数学と数論の連携探索」
    • Data Source
      KAKENHI-PROJECT-16H03939
  • [Presentation] Quantum Probability and counting walks2017

    • Author(s)
      Nobuaki Obata
    • Organizer
      研究集会「量子論にまつわる数学と数論の連携探索」
    • Place of Presentation
      早稲田大学, 東京, 日本
    • Year and Date
      2017-03-08
    • Data Source
      KAKENHI-PROJECT-26310203
  • [Presentation] A quantum probability aspect of spectral graph theory2017

    • Author(s)
      Nobuaki Obata
    • Organizer
      Interface between Commutative and Non-Commutative Stochastic Analysis
    • Place of Presentation
      Hokkaido University, Sapporo, Japan
    • Year and Date
      2017-03-28
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26310203
  • [Presentation] Some topics in distance matrices of graphs2017

    • Author(s)
      Nobuaki Obata
    • Organizer
      1st Tohoku-Bandung Bilateral Workshop: Extremal Graph Theory, Algebraic Graph Theory And Mathematical Approach to Network Science, GSIS, Tohoku University
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03939
  • [Presentation] Quantum Probability and counting walks2017

    • Author(s)
      Nobuaki Obata
    • Organizer
      研究集会「量子論にまつわる数学と数論の連携探索」
    • Place of Presentation
      早稲田大学, 東京, 日本
    • Year and Date
      2017-03-09
    • Data Source
      KAKENHI-PROJECT-26610018
  • [Presentation] Distance Matrices and quadratic embedding of graphs2017

    • Author(s)
      Nobuaki Obata
    • Organizer
      International Conference on Graph Theory and Information Security (ICGTIS 2017)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03939
  • [Presentation] Component sizes in random graphs: Mathematical analysis and simulation2017

    • Author(s)
      Nobuaki Obata
    • Organizer
      International Conference on Stochastic Analysis, Stochastic Control and Applications
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03939
  • [Presentation] Counting walks: A quantum probability viewpoint2016

    • Author(s)
      Nobuaki Obata
    • Organizer
      17th Workshop: Non-Commutative Probability, Levy Processes and Operator Algebras with Applications
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03939
  • [Presentation] Counting walks: A quantum probability viewpoint2016

    • Author(s)
      Nobuaki Obata
    • Organizer
      17th Workshop: Non-Commutative Probability, Levy Processes and Operator Algebras, with Applications
    • Place of Presentation
      Bedlewo, Poland
    • Year and Date
      2016-07-26
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26310203
  • [Presentation] Counting walks: A quantum probabilistic viewpoint2016

    • Author(s)
      Nobuaki Obata
    • Organizer
      The 2nd International Conference on Mathematical Models (ICAMM 2016)
    • Place of Presentation
      Coimbatore, India
    • Year and Date
      2016-01-05
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26310203
  • [Presentation] Distance matrices and quadratic embedding of graphs2016

    • Author(s)
      Nobuaki Obata
    • Organizer
      12th Sendai Workshop on Non-commutative Stochastic Analysis and Applications
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03939
  • [Presentation] Quadratic embedding of graphs2016

    • Author(s)
      Nobuaki Obata
    • Organizer
      Special Week Concentrated on Infinite Dimensional Analysis and Quantum Probability
    • Place of Presentation
      Cheongju, Korea
    • Year and Date
      2016-09-09
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26610018
  • [Presentation] Distance matrices and quadratic embedding of graphs2016

    • Author(s)
      Nobuaki Obata
    • Organizer
      12th Sendai Workshop on Non-commutative Stochastic Analysis and Applications
    • Place of Presentation
      東北大学, 仙台, 日本
    • Year and Date
      2016-10-19
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26610018
  • [Presentation] Graph products and counting walks: A quantum probability viewpoint2016

    • Author(s)
      Nobuaki Obata
    • Organizer
      The 14th Korea-Japan Workshop on Algebra and Combinatorics
    • Place of Presentation
      Pusan, Korea
    • Year and Date
      2016-01-29
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26610018
  • [Presentation] Counting walks: A quantum probabilistic viewpoint2016

    • Author(s)
      Nobuaki Obata
    • Organizer
      The 2nd International Conference on Mathematical Models (ICAMM 2016)
    • Place of Presentation
      Coimbatore, India
    • Year and Date
      2016-01-05
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26610018
  • [Presentation] Graph products and counting walks2016

    • Author(s)
      Nobuaki Obata
    • Organizer
      Tunisia-Japan Symposium on Science, Society and Technology (TJASSST2015)
    • Place of Presentation
      つくば
    • Year and Date
      2016-02-23
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26610018
  • [Presentation] Graph products and counting walks: A quantum probability viewpoint2016

    • Author(s)
      Nobuaki Obata
    • Organizer
      The 14th Korea-Japan Workshop on Algebra and Combinatorics
    • Place of Presentation
      Pusan, Korea
    • Year and Date
      2016-01-29
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26310203
  • [Presentation] Quadratic embedding of graphs2016

    • Author(s)
      Nobuaki Obata
    • Organizer
      Special Week Concentrated on Infinite Dimensional Analysis and Quantum Probability
    • Place of Presentation
      Cheongju, Korea
    • Year and Date
      2016-09-09
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26310203
  • [Presentation] Distance matrices and quadratic embedding of graphs2016

    • Author(s)
      Nobuaki Obata
    • Organizer
      12th Sendai Workshop on Non-commutative Stochastic Analysis and Applications
    • Place of Presentation
      Tohoku University, Sendai, Japan
    • Year and Date
      2016-10-19
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26310203
  • [Presentation] Graph products and counting walks2016

    • Author(s)
      Nobuaki Obata
    • Organizer
      Tunisia-Japan Symposium on Science, Society and Technology (TJASSST2015)
    • Place of Presentation
      つくば
    • Year and Date
      2016-02-23
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26310203
  • [Presentation] Counting walks: A quantum probability viewpoint2016

    • Author(s)
      Nobuaki Obata
    • Organizer
      17th Workshop: Non-Commutative Probability, Levy Processes and Operator Algebras, with Applications
    • Place of Presentation
      Bedlewo, Poland
    • Year and Date
      2016-07-26
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26610018
  • [Presentation] Quantum white noise derivatives and characterization of white noise operators2015

    • Author(s)
      Nobuaki Obata
    • Organizer
      Quantum Markov Semigroups in Analysis, Physics and Probability
    • Place of Presentation
      Oaxaca, Mexico
    • Year and Date
      2015-08-18
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26310203
  • [Presentation] On Stieltjes transform for augmented Jacobi parameters of Chebyshev type2015

    • Author(s)
      Nobuaki Obata
    • Organizer
      11th Sendai Workshop on Infinite Dimensional Analysis and Quantum Probability
    • Place of Presentation
      仙台
    • Year and Date
      2015-10-26
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26610018
  • [Presentation] On Stieltjes transform for augmented Jacobi parameters of Chebyshev type2015

    • Author(s)
      Nobuaki Obata
    • Organizer
      11th Sendai Workshop on Infinite Dimensional Analysis and Quantum Probability
    • Place of Presentation
      仙台
    • Year and Date
      2015-10-27
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26310203
  • [Presentation] Algebraic central limit theorems for growing graphs2015

    • Author(s)
      Nobuaki Obata
    • Organizer
      The 8th International Conference on Science and Mathematics Education in Developing Countries
    • Place of Presentation
      Yangon, Myanmar
    • Year and Date
      2015-12-06
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26310203
  • [Presentation] 量子確率論の最近の話題から2015

    • Author(s)
      尾畑伸明
    • Organizer
      統計数理研究所共同研究集会「科学における確率」
    • Place of Presentation
      東京
    • Year and Date
      2015-07-06
    • Invited
    • Data Source
      KAKENHI-PROJECT-26310203
  • [Presentation] Algebraic central limit theorems for growing graphs2015

    • Author(s)
      Nobuaki Obata
    • Organizer
      The 8th International Conference on Science and Mathematics Education in Developing Countries
    • Place of Presentation
      Yangon, Myanmar
    • Year and Date
      2015-12-06
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26610018
  • [Presentation] Quantum white noise derivatives and quantum Girsanov transform2015

    • Author(s)
      Nobuaki Obata
    • Organizer
      2015 International Conference of the Chungcheong Mathematical Society
    • Place of Presentation
      Daejeon, Korea
    • Year and Date
      2015-06-12
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26310203
  • [Presentation] 量子確率論の最近の展開~スペクトルグラフ理論から量子場理論まで2015

    • Author(s)
      尾畑伸明
    • Organizer
      日本数学会東北支部会
    • Place of Presentation
      東北大学
    • Year and Date
      2015-02-14
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340027
  • [Presentation] 量子確率論の最近の話題から2015

    • Author(s)
      Nobuaki Obata
    • Organizer
      統計数理研究所共同研究集会「科学における確率」
    • Place of Presentation
      東京
    • Year and Date
      2015-07-06
    • Invited
    • Data Source
      KAKENHI-PROJECT-26610018
  • [Presentation] 量子確率論の最近の展開~スペクトルグラフ理論から量子場理論まで2015

    • Author(s)
      尾畑伸明
    • Organizer
      日本数学会東北支部会
    • Place of Presentation
      仙台
    • Year and Date
      2015-02-14
    • Invited
    • Data Source
      KAKENHI-PROJECT-26610018
  • [Presentation] Quantum white noise derivatives and quantum Girsanov transform2015

    • Author(s)
      Nobuaki Obata
    • Organizer
      10th Jikji Workshop on Infinite Dimensional Analysis and Quantum Probability
    • Place of Presentation
      Cheongju, Korea
    • Year and Date
      2015-07-30
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26610018
  • [Presentation] Quantum white noise derivatives and quantum Girsanov transform2015

    • Author(s)
      Nobuaki Obata
    • Organizer
      10th Jikji Workshop on Infinite Dimensional Analysis and Quantum Probability
    • Place of Presentation
      Cheongju, Korea
    • Year and Date
      2015-07-30
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26310203
  • [Presentation] Spectral analysis of digraphs and applications to coupled oscillators2014

    • Author(s)
      Nobuaki Obata
    • Organizer
      International Conference on Mathematics and its Applications (ICMAA-2014)
    • Place of Presentation
      Tamil Nadu, India
    • Year and Date
      2014-12-15
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26310203
  • [Presentation] Free Meixner laws and localization of quantum walks on spidernets2014

    • Author(s)
      Nobuaki Obata
    • Organizer
      Non-commutative and infinite dimensional harmonic analysis : representation theory and probability theory
    • Place of Presentation
      九州大学
    • Year and Date
      2014-02-17
    • Data Source
      KAKENHI-PROJECT-23654046
  • [Presentation] Transforms in quantum white noise calculus2014

    • Author(s)
      Nobuaki Obata
    • Organizer
      35th International Conference on Quantum Probability and Related Topics
    • Place of Presentation
      Chungbuk National University, Cheongju, Korea
    • Year and Date
      2014-08-24
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340027
  • [Presentation] Spectral analysis of digraphs and applications to coupled oscillators2014

    • Author(s)
      Nobuaki Obata
    • Organizer
      International Conference on Mathematics and its Applications (ICMAA-2014)
    • Place of Presentation
      Anna University, Tamil Nadu, India
    • Year and Date
      2014-12-15
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340027
  • [Presentation] Coupled oscillators on digraphs with self-adaptive dynamics2014

    • Author(s)
      Nobuaki Obata
    • Organizer
      International Joint Research Week on Non-Commutative Stochastic Systems : Analysis, Modelling, and Applications
    • Place of Presentation
      東北大学
    • Year and Date
      2014-02-07
    • Data Source
      KAKENHI-PROJECT-23654046
  • [Presentation] Spectral analysis of digraphs and applications to coupled oscillators2014

    • Author(s)
      Nobuaki Obata
    • Organizer
      International Conference on Mathematics and its Applications (ICMAA-2014)
    • Place of Presentation
      ヴィルプラム、インド
    • Year and Date
      2014-12-15
    • Invited
    • Data Source
      KAKENHI-PROJECT-26610018
  • [Presentation] Lee's analytic version theorem and development of complex white noise theory2014

    • Author(s)
      Nobuaki Obata
    • Organizer
      Workshop on Probability and Analysis in honor of Professor Yuh-Jia Lee
    • Place of Presentation
      National University of Kaohsiung, Taiwan
    • Year and Date
      2014-06-21
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340027
  • [Presentation] Synchronization of coupled oscillators2014

    • Author(s)
      Nobuaki Obata
    • Organizer
      International Conference on Mathematical and Stochastic Analysis and its Applications (ICMSAA-2014)
    • Place of Presentation
      チェンナイ、インド
    • Year and Date
      2014-12-19
    • Invited
    • Data Source
      KAKENHI-PROJECT-26610018
  • [Presentation] Synchronization of coupled oscillators2014

    • Author(s)
      Nobuaki Obata
    • Organizer
      International Conference on Mathematical and Stochastic Analysis and its Applications (ICMSAA-2014)
    • Place of Presentation
      Chennai, India
    • Year and Date
      2014-12-19
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26310203
  • [Presentation] Spectra of Manhattan street digraphs for synchronization of coupled oscillators2013

    • Author(s)
      Nobuaki Obata
    • Organizer
      NIMS Hot Topics Workshops on The 8th Jikji workshop : Infinite Dimensional Analysis and Quantum Probability
    • Place of Presentation
      Daejeon, Korea
    • Year and Date
      2013-08-19
    • Data Source
      KAKENHI-PROJECT-23654046
  • [Presentation] Spectral analysis of digraphs and coupled oscillators2013

    • Author(s)
      Nobuaki Obata
    • Organizer
      3rd Tunisian-Japanese Conference : Geometric and Harmonic Analysis on Homogeneous Spaces and Applications
    • Place of Presentation
      Yasmine Hammamet, Tunisia
    • Year and Date
      2013-12-19
    • Data Source
      KAKENHI-PROJECT-23654046
  • [Presentation] Spectral analysis of Manhattan street networks2013

    • Author(s)
      Nobuaki Obata
    • Organizer
      Tunisian -Japanese Symposium on Science, Society and Technology (TJASSST 2013)
    • Place of Presentation
      Yasmine Hammamet, Tunisia
    • Year and Date
      2013-11-15
    • Data Source
      KAKENHI-PROJECT-23654046
  • [Presentation] Quantum probability and asymptotic spectral analysis of growing graphs2012

    • Author(s)
      N. Obata
    • Organizer
      International Conference on Stochastic Modelling and Simulation (ICSMS2012)
    • Place of Presentation
      Chennai, India
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340027
  • [Presentation] Recent developments of quantum white noise calculus: Quantum stochastic derivatives and their applications2012

    • Author(s)
      N. Obata
    • Organizer
      RIMS 研究集会「量子場の数理とその周辺」
    • Place of Presentation
      京都
    • Data Source
      KAKENHI-PROJECT-23340027
  • [Presentation] Asymptotic spectral analysis of growing graphs : A quantum probabilistic approach2012

    • Author(s)
      Nobuaki Obata
    • Organizer
      International Conference on Frontiers of Statistics and its Applications
    • Place of Presentation
      Puducherry, India
    • Year and Date
      2012-12-22
    • Data Source
      KAKENHI-PROJECT-23654046
  • [Presentation] Localization of quantum walks on spidernets2012

    • Author(s)
      N. Obata
    • Organizer
      QP 33 "Quantum Probabilities and Related Fields"
    • Place of Presentation
      Luminy, France
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340027
  • [Presentation] Localization of quantum walks on spidernets2012

    • Author(s)
      Nobuaki Obata
    • Organizer
      15th Workshop on Non-Commutative Harmonic Analysis : Random Matrices, representation theory and free probability
    • Place of Presentation
      with applications Mathematical Research and Conference Center (MRCC), Bedlewo, Poland
    • Year and Date
      2012-09-24
    • Data Source
      KAKENHI-PROJECT-23654046
  • [Presentation] Spectral analysis of digraphs2012

    • Author(s)
      Nobuaki Obata
    • Organizer
      Workshop on Non-Commutative Harmonic Analysis with Applications to Real World Complex Phenomena
    • Place of Presentation
      Hanyang University, Korea
    • Year and Date
      2012-01-16
    • Data Source
      KAKENHI-PROJECT-23654046
  • [Presentation] Recent developments of quantum white noise calculus2012

    • Author(s)
      N. Obata
    • Organizer
      Quantum stochastic derivatives and their applications
    • Place of Presentation
      京都大学数理解析研究所(京都府京都市)
    • Invited
    • Data Source
      KAKENHI-PROJECT-24244004
  • [Presentation] Asymptotic spectral analysis of growing graphs: A quantum probabilistic approach2012

    • Author(s)
      Nobuaki Obata
    • Organizer
      International Conference on Frontiers of Statistics and its Applications
    • Place of Presentation
      Puducherry, India
    • Data Source
      KAKENHI-PROJECT-23654046
  • [Presentation] Distance k-graphs of direct product graphs and their asymptotic spectral distributions2012

    • Author(s)
      Nobuaki Obata
    • Organizer
      QP 33: Quantum Probabilities and Related Fields
    • Place of Presentation
      Luminy, France
    • Data Source
      KAKENHI-PROJECT-23654046
  • [Presentation] Localization of quantum walks on spidernets2012

    • Author(s)
      N. Obata
    • Organizer
      15th Workshop on Non-Commutative Harmonic Analysis : Random Matrices, representation theory and free probability
    • Place of Presentation
      Bedlewo, Poland
    • Invited
    • Data Source
      KAKENHI-PROJECT-24244004
  • [Presentation] Quantum probability and asymptotic spectral analysis of growing graphs2012

    • Author(s)
      Nobuaki Obata
    • Organizer
      International Conference on mathematical modeling and its aplications (ICMMA 2012)
    • Place of Presentation
      Annamalainagar, India
    • Year and Date
      2012-12-23
    • Data Source
      KAKENHI-PROJECT-23654046
  • [Presentation] Asymptotic spectral distributions of distance k-graphs of Cartesian product graphs2012

    • Author(s)
      Nobuaki Obata
    • Organizer
      International Conference in Honour of Sixtieth Birthday of Rajendra Bhatia : Matrices and Operators Indian Institute of Science
    • Place of Presentation
      Bangalore, India
    • Year and Date
      2012-12-29
    • Data Source
      KAKENHI-PROJECT-23654046
  • [Presentation] Distance k-graphs of direct product graphs and their asymptotic spectral distributions QP 332012

    • Author(s)
      N. Obata
    • Organizer
      Quantum Probabilities and Related Fields
    • Place of Presentation
      Luminy, France
    • Invited
    • Data Source
      KAKENHI-PROJECT-24244004
  • [Presentation] Distance k-graphs of direct product graphs and their asymptotic spectral distributions2012

    • Author(s)
      Nobuaki Obata
    • Organizer
      QP 33 "Quantum Probabilities and Related Fields" Centre International de Rencontres Mathematiques (CIRM)
    • Place of Presentation
      Luminy, France
    • Year and Date
      2012-10-05
    • Data Source
      KAKENHI-PROJECT-23654046
  • [Presentation] Spectral analysis of digraphs2012

    • Author(s)
      Nobuaki Obata
    • Organizer
      Workshop on Non-Commutative Harmonic Analysis with Applications to Real World Complex Phenomena
    • Place of Presentation
      Hanyang University, Seoul, Korea(招待講演)
    • Data Source
      KAKENHI-PROJECT-23340027
  • [Presentation] Asymptotic spectral distributions of distance k-graphs of Cartesian product graphs2012

    • Author(s)
      N. Obata
    • Organizer
      International Conference in Honour of Sixtieth Birthday of Rajendra Bhatia: Matrices and Operators
    • Place of Presentation
      Bangalore, India
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340027
  • [Presentation] Localization of quantum walks on spidernets2012

    • Author(s)
      Nobuaki Obata
    • Organizer
      15th Workshop on Non-Commutative Harmonic Analysis: Random Matrices, representation theory and free probability, with applications
    • Place of Presentation
      Bedlewo, Poland
    • Invited
    • Data Source
      KAKENHI-PROJECT-23654046
  • [Presentation] Random walk, quantum walk, and quantum probability2012

    • Author(s)
      N. Obata
    • Organizer
      6th KMS Probability Workshop
    • Place of Presentation
      Seoul, Korea
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340027
  • [Presentation] Spectral analysis of digraphs2012

    • Author(s)
      Nobuaki Obata
    • Organizer
      Workshop on Non-Commutative Harmonic Analysis ...(招待講演)
    • Place of Presentation
      Seoul, Korea
    • Data Source
      KAKENHI-PROJECT-23654046
  • [Presentation] Asymptotic spectral distributions of distance k-graphs of Cartesian product graphs2012

    • Author(s)
      N. Obata
    • Organizer
      International Conference in Honour of Sixtieth Birthday of Rajendra Bhatia : Matrices and Operators Indian Institute of Science
    • Place of Presentation
      Bangalore, India
    • Invited
    • Data Source
      KAKENHI-PROJECT-24244004
  • [Presentation] Quantum probability and asymptotic spectral analysis of growing graphs2012

    • Author(s)
      Nobuaki Obata
    • Organizer
      International Conference on Stochastic Modelling and Simulation (ICSMS2012)
    • Place of Presentation
      Chennai, India
    • Year and Date
      2012-12-17
    • Data Source
      KAKENHI-PROJECT-23654046
  • [Presentation] Random walk, quantum walk, and quantum probability2012

    • Author(s)
      Nobuaki Obata
    • Organizer
      6th Korean Mathenatical Society Probability Workshop
    • Place of Presentation
      Seoul, Korea
    • Invited
    • Data Source
      KAKENHI-PROJECT-23654046
  • [Presentation] Random walk, quantum walk, and quantum probability2012

    • Author(s)
      Nobuaki Obata
    • Organizer
      6th KMS Probability Workshop
    • Place of Presentation
      Seoul, Korea
    • Year and Date
      2012-06-01
    • Data Source
      KAKENHI-PROJECT-23654046
  • [Presentation] Spectral analysis of product graphs2011

    • Author(s)
      Nobuaki Obata
    • Organizer
      3rd Settat Conf. Operator Algebras and Appl.
    • Place of Presentation
      Marrakesh, Morocco
    • Data Source
      KAKENHI-PROJECT-23654046
  • [Presentation] Join of one-mode interacting Fock spaces and applications to random walks2011

    • Author(s)
      N. Obata
    • Organizer
      The 6th Jikji Workshop on Infinite Dimensional Analysis and Quantum Probability
    • Place of Presentation
      Daejeon, Korea
    • Year and Date
      2011-01-10
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Presentation] Quantum probabilistic spectral analysis of graphs2011

    • Author(s)
      Nobuaki Obata
    • Organizer
      数理解析研究所研究集会「独立性と従属性の数理 -- 代数と確率の出会い --」
    • Place of Presentation
      京都
    • Year and Date
      2011-12-19
    • Data Source
      KAKENHI-PROJECT-23654046
  • [Presentation] Quantum probability theory : Notions of independence and applications to spectral analysis of graphs2011

    • Author(s)
      Nobuaki Obata
    • Organizer
      The 3rd ILJU School of Mathyematics : Banach spaces & Related Topics
    • Place of Presentation
      Gyeongju, Korea
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Presentation] Quantum probabilistic spectral analysis of large graphs2011

    • Author(s)
      Nobuaki Obata
    • Organizer
      The 2nd Tunisian-Japanese Conference : Geometric and Harmonic Analysis on Homogeneous Spaces and Applications
    • Place of Presentation
      Sousse, Tunisia(招待講演)
    • Data Source
      KAKENHI-PROJECT-23340027
  • [Presentation] Quantum probabilistic spectral analysis of ...2011

    • Author(s)
      Nobuaki Obata
    • Organizer
      2nd Tunisian-Japanese Conf. Geo. Harm. Anal.
    • Place of Presentation
      Sousse, Tunisia
    • Data Source
      KAKENHI-PROJECT-23654046
  • [Presentation] Spectral analysis of Manhattan products of digraphs2011

    • Author(s)
      Nobuaki Obata
    • Organizer
      14th Workshop : Non-commutative Harmonic Analysis
    • Place of Presentation
      Bedlewo, Poland(招待講演)
    • Data Source
      KAKENHI-PROJECT-23340027
  • [Presentation] Spectral analysis of product graphs2011

    • Author(s)
      Nobuaki Obata
    • Organizer
      3rd Conference of Settat on Operator Algebras and Applications
    • Place of Presentation
      Marrakesh, Morocco(招待講演)
    • Data Source
      KAKENHI-PROJECT-23340027
  • [Presentation] Transformations of Fock space operators in terms of quantum white noise calculus2011

    • Author(s)
      Nobuaki Obata
    • Organizer
      チュニジアー日本文化・科学・技術学術会議第11回大会(TJASSST'11)
    • Place of Presentation
      Hammamet, Tunisia(招待講演)
    • Data Source
      KAKENHI-PROJECT-23340027
  • [Presentation] Asymptotic Spectral Analysis of Large Graphs---A Quantum Probabilistic Approach2011

    • Author(s)
      Nobuaki Obata
    • Organizer
      Analysis on Graphs in Sendai 2011
    • Place of Presentation
      Sendai, Japan
    • Year and Date
      2011-02-21
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Presentation] Quantum probabilistic spectral analysis of large graphs2011

    • Author(s)
      Nobuaki Obata
    • Organizer
      The 2nd Tunisian--Japanese Conference : Geometric and Harmonic Analysis on Homogeneous Spaces and Applications
    • Place of Presentation
      Sousse, Tunisia
    • Year and Date
      2011-12-14
    • Data Source
      KAKENHI-PROJECT-23654046
  • [Presentation] Spectral analysis of product graphs2011

    • Author(s)
      Nobuaki Obata
    • Organizer
      3rd Conference of Settat on Operator Algebras and Applications Marrakesh
    • Place of Presentation
      Morocco
    • Year and Date
      2011-11-01
    • Data Source
      KAKENHI-PROJECT-23654046
  • [Presentation] Quantum probabilistic spectral analysis of ...2011

    • Author(s)
      Nobuaki Obata
    • Organizer
      Internat. Conf. Stochastic Anal. Appl.(招待講演)
    • Place of Presentation
      Hammamet, Tunisia
    • Data Source
      KAKENHI-PROJECT-23654046
  • [Presentation] Quantum probabilistic approach to spectral analysis of networks : Some recent results2011

    • Author(s)
      Nobuaki Obata
    • Organizer
      Japan-Korea Workshop on Algebra and Combinatorics
    • Place of Presentation
      Sendai, Japan
    • Year and Date
      2011-01-24
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Presentation] Quantum probabilistic spectral analysis of graphs2011

    • Author(s)
      Nobuaki Obata
    • Organizer
      数理解析研究所研究集会「独立性と従属性の数理-代数と確率の出会い-」
    • Place of Presentation
      京都
    • Data Source
      KAKENHI-PROJECT-23340027
  • [Presentation] Quantum probabilistic spectral analysis of networks and applications2011

    • Author(s)
      Nobuaki Obata
    • Organizer
      International Conference on Stochastic Analysis and Applications
    • Place of Presentation
      Hammamet, Tunisia(招待講演)
    • Data Source
      KAKENHI-PROJECT-23340027
  • [Presentation] Spectral analysis of Manhattan products of ...2011

    • Author(s)
      Nobuaki Obata
    • Organizer
      14th Workshop: Non-commutative Harmonic Analysis(招待講演)
    • Place of Presentation
      Bedlewo, Poland
    • Data Source
      KAKENHI-PROJECT-23654046
  • [Presentation] Spectral analysis of Manhattan products of digraphs2011

    • Author(s)
      Nobuaki Obata
    • Organizer
      14th Workshop : Non-commutative Harmonic Analysis
    • Place of Presentation
      Bedlewo, Poland
    • Year and Date
      2011-09-25
    • Data Source
      KAKENHI-PROJECT-23654046
  • [Presentation] Quantum probabilistic spectral analysis of networks and applications2011

    • Author(s)
      Nobuaki Obata
    • Organizer
      International Conference on Stochastic Analysis and Applications Hammamet
    • Place of Presentation
      Tunisia
    • Year and Date
      2011-10-11
    • Data Source
      KAKENHI-PROJECT-23654046
  • [Presentation] Convolution operators in white noise calculus : Revisited2011

    • Author(s)
      Nobuaki Obata
    • Organizer
      32nd International Conference on Quantum Probability and Related Topics
    • Place of Presentation
      Levico Terme, Italy(招待講演)
    • Data Source
      KAKENHI-PROJECT-23340027
  • [Presentation] Deformed vacuum states and Q-matrices of graphs2010

    • Author(s)
      N. Obata
    • Organizer
      Symposium on Analysis and Probability 2010
    • Place of Presentation
      Taipei, Taiwan
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Presentation] Asymptotic spectral analysis of large graphs2010

    • Author(s)
      N.Obata
    • Organizer
      POSTECH Algebraic Combinatorics Seminar
    • Place of Presentation
      POSTECH, Korea
    • Year and Date
      2010-02-03
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Presentation] Asymptotic spectral analysis of large graphs2010

    • Author(s)
      尾畑伸明
    • Organizer
      POSTECH Algebraic Combinatorics Seminar
    • Place of Presentation
      POSTECH, Korea
    • Year and Date
      2010-02-03
    • Data Source
      KAKENHI-PROJECT-19654024
  • [Presentation] Join of one-mode interacting Fock spaces and applications2010

    • Author(s)
      N. Obata
    • Organizer
      10th Sendai Workshop on Infinite Dimensional Analysis and Quantum Probability
    • Place of Presentation
      Sendai, Japan
    • Year and Date
      2010-12-17
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Presentation] Some New Aspects of Bogoliubov Transformations from Quantum White Noise Calculus2010

    • Author(s)
      N. Obata
    • Organizer
      5th Jikji Workshop on Infinite Dimensional Analysis and Quantum Probability
    • Place of Presentation
      Cheongju, Korea
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Presentation] Non-commutative independence and structure of graphs2010

    • Author(s)
      Nobuaki Obata
    • Organizer
      京都大学数理解析研究所研究集会「独立性と従属性の数理---函数解析学の視点から」
    • Place of Presentation
      Kyoto, Japan
    • Year and Date
      2010-12-20
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Presentation] Some New Aspects of Bogoliubov Transformations from Quantum White Noise Calculus2010

    • Author(s)
      N.Obata
    • Organizer
      The 5th Jikji Workshop on Infinite Dimensional Analysis and Quantum Probability
    • Place of Presentation
      Chungbuk National University, Korea
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Presentation] Quantum probabilistic aspect to random walks on graphs2010

    • Author(s)
      N. Obata
    • Organizer
      13th Workshop on Noncommutative Harmonic Analysis
    • Place of Presentation
      Bedlewo, Poland
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Presentation] Some New Aspects of Bogoliubov Transformations from Quantum White Noise Calculus2010

    • Author(s)
      尾畑伸明
    • Organizer
      The 5th Jikji Workshop on Infinite Dimensional Analysis and Quantum Probability
    • Place of Presentation
      Chungbuk National University, Korea
    • Data Source
      KAKENHI-PROJECT-19654024
  • [Presentation] Quantum white noise calculus : Quantum white noise derivatives and applications2009

    • Author(s)
      尾畑伸明
    • Organizer
      12th Workshop on Noncommutative Harmonic Analysis with Applications to Probability
    • Place of Presentation
      Bedlewo, Poland
    • Year and Date
      2009-08-16
    • Data Source
      KAKENHI-PROJECT-19654024
  • [Presentation] Recent developments in quantum white noise calculus : Quantum white noise derivatives and implementation problem2009

    • Author(s)
      N. Obata
    • Organizer
      2009 NIMS Hot Topics Workshop on Infinite Dimensional Analysis and Related Topics
    • Place of Presentation
      Daejeon, Korea
    • Year and Date
      2009-06-22
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Presentation] 量子確率論とグラフのスペクトル解析2009

    • Author(s)
      尾畑伸明
    • Organizer
      第26回代数的組合せ論シンポジウム
    • Place of Presentation
      山形県生涯学習センター
    • Year and Date
      2009-06-26
    • Data Source
      KAKENHI-PROJECT-19654024
  • [Presentation] 量子確率論とグラフのスペクトル解析2009

    • Author(s)
      尾畑伸明
    • Organizer
      数理物理サマースクール2009
    • Place of Presentation
      東京大学数理科学研究科
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Presentation] 量子碓率論とグラフのスペクトル解析2009

    • Author(s)
      尾畑伸明
    • Organizer
      第26回代数的組合せ論シンポジウム
    • Place of Presentation
      山形県生涯学習センター
    • Year and Date
      2009-06-26
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Presentation] Quantum white noise derivatives and implementation problem2009

    • Author(s)
      N.Obata
    • Organizer
      International Conference on Mathematical Quantum Field Theory and Renormalization Theory
    • Place of Presentation
      Kyushu University
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Presentation] Recent developments in quantum white noise calculus : Quantum white noise derivatives and implementation problem2009

    • Author(s)
      N.Obata
    • Organizer
      2009 NIMS Hot Topics Workshop on Infinite Dimensional Analysis and Related Topics
    • Place of Presentation
      Hannam University, Daejeon, Korea
    • Year and Date
      2009-06-22
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Presentation] Quantum white noise derivatives and applications2009

    • Author(s)
      N. Obata
    • Organizer
      International Conference on Stochastic Analysis and Applications
    • Place of Presentation
      Hammamet, Tunisia
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Presentation] Quantum white noise calculus : Quantum white noise derivatives and applications2009

    • Author(s)
      N. Obata
    • Organizer
      12th Workshop on Noncommutative Harmonic Analysis with Applications to Probability
    • Place of Presentation
      Bedlewo, Poland
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Presentation] Quantum stochastic derivatives and applications2009

    • Author(s)
      尾畑伸明
    • Organizer
      TJASSST 10
    • Place of Presentation
      Hammamet, Tunisia
    • Year and Date
      2009-11-12
    • Data Source
      KAKENHI-PROJECT-19654024
  • [Presentation] Quantum stochastic derivatives and applications2009

    • Author(s)
      N.Obata
    • Organizer
      TJASSST 10
    • Place of Presentation
      Hammamet, Tunisia
    • Year and Date
      2009-11-12
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Presentation] 量子確率論とグラフのスペクトル解析2009

    • Author(s)
      尾畑伸明
    • Organizer
      数理物理サマースクール2009
    • Place of Presentation
      東京大学数理科学研究科
    • Data Source
      KAKENHI-PROJECT-19654024
  • [Presentation] Spectral analysis of random complex networks2009

    • Author(s)
      N. Obata
    • Organizer
      The 3rd Cheongju Workshop on Infinite Dimensional Analysis and Quantum Probability
    • Place of Presentation
      Cheongju, Korea
    • Year and Date
      2009-01-12
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Presentation] Quantum white noise derivatives and applications2009

    • Author(s)
      尾畑伸明
    • Organizer
      International Conference on Stochastic Analysis and Applications
    • Place of Presentation
      Hammamet, Tunisia
    • Data Source
      KAKENHI-PROJECT-19654024
  • [Presentation] Spectral analysis of random complex networks2009

    • Author(s)
      Nobuaki Obata
    • Organizer
      The 3rd Cheongju Workshop on Infmite Dimensional Analysis and Quantum Probability
    • Place of Presentation
      Cheongju, Korea
    • Year and Date
      2009-01-12
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Presentation] Recent developments in quantum white noise calculus : Quantum white noise derivatives and implementation problem2009

    • Author(s)
      尾畑伸明
    • Organizer
      2009 NIMS Hot Topics Workshop on Infinite Dimensional Analysis and Related Topics
    • Place of Presentation
      Hannam University, Daejeon, Korea
    • Year and Date
      2009-06-22
    • Data Source
      KAKENHI-PROJECT-19654024
  • [Presentation] Quantum white noise derivatives and implementation problem2009

    • Author(s)
      尾畑伸明
    • Organizer
      International Conference on Mathematical Quantum Field Theory and Renormalization Theory
    • Place of Presentation
      Kyushu University
    • Data Source
      KAKENHI-PROJECT-19654024
  • [Presentation] Spectral analysis of random complex networks2009

    • Author(s)
      Nobuaki Obata
    • Organizer
      The 3rd Cheongju Workshop on Infinite Dimensional Analysis and Quantum Probability
    • Place of Presentation
      Cheongju, Korea
    • Year and Date
      2009-01-12
    • Data Source
      KAKENHI-PROJECT-19654024
  • [Presentation] Asymptotic spectral analysis of growing graphs2008

    • Author(s)
      Nobuaki Obata
    • Organizer
      Seminar of Functional Analysis at Institute of Mathematics, Jagiellonian University Krakow
    • Place of Presentation
      Krakow, Poland
    • Year and Date
      2008-05-27
    • Data Source
      KAKENHI-PROJECT-19654024
  • [Presentation] 量子確率解析からの展望2008

    • Author(s)
      尾畑伸明
    • Organizer
      「離散幾何学から提案する新物質創成と物性発現の解明」キックオフシンポジウム
    • Place of Presentation
      仙台
    • Year and Date
      2008-12-26
    • Data Source
      KAKENHI-PROJECT-19654024
  • [Presentation] Positivity of Q-matrices and applications2008

    • Author(s)
      Nobuaki Obata
    • Organizer
      JSPS-KOSEF Joint Research Project Tsukuba Seminar on Infinite Dimensional Analysis
    • Place of Presentation
      筑波大学
    • Year and Date
      2008-11-14
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Presentation] Recent developments in quantum white noise theory : Stochastic integrals and transformations2008

    • Author(s)
      Nobuaki Obata
    • Organizer
      29th Conference on Quantum Probability and Related Topics
    • Place of Presentation
      Tunis, Tunisia
    • Year and Date
      2008-10-13
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Presentation] Recent developments in quantum white noise theory : Stochastic integrals and transformations2008

    • Author(s)
      Nobuaki Obata
    • Organizer
      29th Conference on Quantum Probability and Related Topics
    • Place of Presentation
      Tunis, Tunisia
    • Year and Date
      2008-10-13
    • Data Source
      KAKENHI-PROJECT-19654024
  • [Presentation] Asymptotic spectral analysis of growing graphs2008

    • Author(s)
      Nobuaki Obata
    • Organizer
      Seminar of Functional Analysis at Institute of Mathematics, Jagiellonian University Krakow
    • Place of Presentation
      Krakow, Poland
    • Year and Date
      2008-05-27
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Presentation] Recent developments in quantum white noise theory : Stochastic integrals and transformations2008

    • Author(s)
      N. Obata
    • Organizer
      29th Conference on Quantum Probability and Related Topics
    • Place of Presentation
      Hammamet, Tunisia
    • Year and Date
      2008-10-13
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Presentation] Positivity of Q-matrices and applications2008

    • Author(s)
      Nobuaki Obata
    • Organizer
      JSPS-KOSEF Joint Research Project Tsukuba Seminar on Infinite Dimensional Analysis
    • Place of Presentation
      Tsukuba, Japan
    • Year and Date
      2008-11-14
    • Data Source
      KAKENHI-PROJECT-19654024
  • [Presentation] Recent developments in quantum white noise theory : Stochastic integrals and transformations2008

    • Author(s)
      N. Obata
    • Organizer
      29th Conference on Quantum Probability and Related Topics
    • Place of Presentation
      Hammamet, Tunisia
    • Data Source
      KAKENHI-PROJECT-17340021
  • [Presentation] 量子確率解析からの展望2008

    • Author(s)
      尾畑伸明
    • Organizer
      「離散幾何学から提案する新物質創成と物性発現の解明」キックオフシンポジウム
    • Place of Presentation
      東北大学
    • Year and Date
      2008-12-26
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Presentation] Quantum probabilistic approach to spectral analysis of growing graphs2008

    • Author(s)
      N. Obata
    • Organizer
      Korea Operator Theory and Its Applications Conference (KOTAC 2008)
    • Place of Presentation
      Seoul, Korea
    • Year and Date
      2008-06-19
    • Data Source
      KAKENHI-PROJECT-20340025
  • [Presentation] Quantum probabilistic approach to spectral analysis of growing graphs2008

    • Author(s)
      Nobuaki Obata
    • Organizer
      Korea Operator Theory and Its Applications Conference (KOTAC 2008)
    • Place of Presentation
      Seoul, Korea
    • Year and Date
      2008-06-19
    • Data Source
      KAKENHI-PROJECT-19654024
  • [Presentation] Quantum stochastic gradients and quantum Hitsuda-Skorokhod integrals2007

    • Author(s)
      Nobuaki Obata
    • Organizer
      International Conference on Stochastic Analysis and Applications
    • Place of Presentation
      Hammamet, TuniSia
    • Year and Date
      2007-11-05
    • Data Source
      KAKENHI-PROJECT-19654024
  • [Presentation] Asymptotic spectral analysis of random graphs-Towards complex networks2007

    • Author(s)
      Nobuaki Obata
    • Organizer
      10th Workshop: Non-Commutative Harmonic Analysis with Applications to Probability, Banach Center
    • Place of Presentation
      Bedlewo, Poland
    • Year and Date
      2007-08-06
    • Data Source
      KAKENHI-PROJECT-19654024
  • [Presentation] Free Meixner laws and localization of quantum walks on spidernets

    • Author(s)
      Nobuaki Obata
    • Organizer
      Non-commutative and infinite dimensional harmonic analysis: representation theory and probability theory
    • Place of Presentation
      九州大学
    • Data Source
      KAKENHI-PROJECT-23654046
  • [Presentation] Spectra of Manhattan street digraphs for synchronization of coupled oscillators

    • Author(s)
      Nobuaki Obata
    • Organizer
      NIMS Hot Topics Workshops on The 8th Jikji workshop : Infinite Dimensional Analysis and Quantum Probability
    • Place of Presentation
      Daejeon, Korea
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340027
  • [Presentation] Random walk, quantum walk, and quantum probability

    • Author(s)
      N. Obata
    • Organizer
      6th Korean Mathematical Society Probability Workshop
    • Place of Presentation
      Seoul National University, Korea
    • Invited
    • Data Source
      KAKENHI-PROJECT-24244004
  • [Presentation] Spectral analysis of Manhattan street networks

    • Author(s)
      Nobuaki Obata
    • Organizer
      Tunisian Japanese Symposium on Science, Society and Technology (TJASSST 2013)
    • Place of Presentation
      Hammamet, Tunisia
    • Data Source
      KAKENHI-PROJECT-23340027
  • [Presentation] Quantum White Noise Derivatives and Their Applications

    • Author(s)
      Nobuaki Obata
    • Organizer
      International Conference on Stochastic Analysis and Applications
    • Place of Presentation
      Hammamet, Tunisia
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340027
  • [Presentation] Spectral analysis of digraphs and coupled oscillators

    • Author(s)
      Nobuaki Obata
    • Organizer
      3rd Tunisian-Japanese Conference: Geometric and Harmonic Analysis on Homogeneous Spaces and Applications
    • Place of Presentation
      Hammamet, Tunisia
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340027
  • 1.  AOMOTO Kazuhiko (00011495)
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  • 106.  岩田 耕一郎 (20241292)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 107.  行者 明彦 (50116026)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 108.  内田 興二 (20004294)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 109.  藤家 雪朗 (00238536)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 110.  田中 太初 (50466546)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 1 results
  • 111.  荒木 由布子 (80403913)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 112.  KUO H. H.
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 113.  POTTHOFF Jurgen
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 114.  ALBEVERIO Sergio
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 115.  STREIT Ludwig
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 116.  NUDESHIMA Jiro
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 117.  KUO Hui-Hsiung
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 118.  吉田 徹彦
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 119.  RO^^‥CKNER M
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 120.  ROCKNER Michael
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 121.  MATSUOKA Leo
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 1 results

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