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WATANABE Sinzo  渡辺 信三

ORCIDConnect your ORCID iD *help
Researcher Number 90025297
Affiliation (based on the past Project Information) *help 2002 – 2003: 立命館大学, 理工学部, 教授
1999 – 2001: 京都大学, 名誉教授
1998: Kyoto Univ., Dept.Math., Professor, 大学院理学研究科, 教授
1995 – 1998: Kyoto Univ., Graduate School of Science, Professor, 大学院・理学研究科, 教授
1996: 京都大学, 大学院理学研究科, 教授
1995 – 1996: 京都大学, 理学研究科, 教授
1986 – 1994: Kyoto Univ. Fac. of Sci. Professor, 理学部, 教授
Review Section/Research Field
Principal Investigator
General mathematics (including Probability theory/Statistical mathematics)
Except Principal Investigator
General mathematics (including Probability theory/Statistical mathematics) / 解析学 / Basic analysis / 代数学・幾何学 / Geometry
Keywords
Principal Investigator
Wiener空間 / Wiener汎関数 / Sobolev空間 / Brownian snake / 確率微分方程式 / Mallianin解析 / Quasi-sure analtsis / Wiener超汎関数 / Donsberのデルタ関数 / 大偏差原理 … More / ウィナー汎関数のソボレフ空間 / 測度値分枝過程 / innovation問題 / 流体方程式の解空間の分岐 / 力学系の分岐問題 / 整関数力学系の変形理論 / 格子スピン系 / マルコフ半群の比較定理 / 無限次元Hodge-Kodaira型作用素 / Berezin変換 / Capelli恒等式 / φ^4-格子場模型 / Malliavrin解析 / Stochastic area / Euler-Maruyama近似 / 熱核の近似スキーム / 熱対流問題 / Pauli作用素のスペクトル / Malliavin解析 / ループ空間 / 無限対称群 / 微分同相群 / 分岐問題の計算機支援証明法 / Sobolev spaces on Wiener space / measure valued branching processes / innovation problem / bifurcations for equations in fluid dynamics / bifurcation problem in dynamical system / complex dynamics of entirefunctions / lattice spin system / 確率解析 / Wiener空間上の解析学(Malliavin解析) / 超Wiener汎関数と一般化積分 / 熱方程式の基本解の漸近問題 / 超リー代数 / Duffing方程式の周期解 / フラクタル / 双曲的変換の離散部分群 / 熱方程式の基本解の漸近理論 / Duffing方程式 / 周期解 / 双曲的変換 / 離散部分群 / Wiener空間上の解析学 / 熱方程式の基本解 / 指数定理 / ラングラケポテンシャルを持つSchrodinger方程式 / 木村モデル / Stochastic analysis / Malliavin calculus / Generalized Wiener functionals / Asymptotic problems of heat kernels / Lie superalgebra / Periodic solutions of Duffing equations / Fractals … More
Except Principal Investigator
確率解析 / フラクタル / 確率微分方程式 / 双曲型方程式 / 表現論 / 複素多様体 / 擬等角写像 / リー群 / ループ空間 / ブラウン運動 / ウィナー空間 / 無限次元空間 / 漸近挙動 / 対称拡散過程 / 確率過程 / ディリクレ形式 / マリアヴァン解析 / 大偏差原理 / 力学系 / マルコフ過程 / 確率制御 / 無限次元解析 / 拡散過程 / Stochastic analysis / 量子力学の方程式 / スペクトル理論 / 自由表面問題 / 可解格子模型 / 流体方程式 / Wiener sausage / Schrodinger作業素 / 非線型解析 / Duffing方程式 / 準楕円性 / 代数学 / トポロジ- / リ-マン面 / タイヒミュラ-空間 / モデュライ空間 / 擬等角変形 / ポマンカレ級数 / BMO函数 / 条件付き測度 / ウィナー汎関数 / リッチ曲率 / 対数ソボレフ不等式 / 複雑度 / ノイズ / Dirichlet形式 / 半群 / ウィーナー空間 / 流体力学極限 / 伊藤解析 / 数理解析研究所プロジェクト研究 / 日本数学会国際研究集会 / 多様体 / 位相数学 / ホモトピー / コホモロジー / 代数多様体 / 位相解析 / リーマン面 / タイヒミュラー空間 / 極限定理 / ランダム媒質 / ガウス過程 / エルゴ-ド理論 / シュレディンガ-作用素 / 抽象ウィ-ナ-空間 / 多粒子系マルコフ過程 / 測度値分枝過程 / 中心極限定理 / 加法過程 / マリアバン演算法 / ガウス型通信路 / Markov process / Limit theorems / Random environment / Gaussian process / Ergodic theory / Schrodinger operator / Stochastic control / Wiener(ウィ-ナ-)汎関数 / 流体の方程式 / 精度保証付き数値計算 / 力学系とカオス / Wiener汎関数 / 無限次元リ-群の表現 / シュレディンガ-方程式 / 保型形式の空間 / 区間演算ソフトウェア- / 保証つき数値計算 / Equation of Quantum Mechanics / Spectral Theory / Stochastic Analysis / Wiener Functional / Equation of Fluid Dynamics / Free Surface Problems / Validated Numerical Computation / Dynamical Systems and Chaos / カオス / 解空間の構造 / 計算機支援証明法 / 分岐問題 / 計算機支援証明 / ホモクリニック倍分岐 / Schrodinger方程式 / 散乱理論 / 幾何学的Lorenzアトラクター / 量子力学的3体系 / Heisenberg群上の双曲型方程式 / Schrodinger型方程式 / Hyperbolic P.D.E. / Stochastic Diff.Eq. / Fluid dynamical equations / Solvable lattice models / Dynamical System / Bifurcation problems / Structure of solution space / Computer assisted proof / 量子群 / ジョルダン代数 / Berezin変換 / 微分同相群 / 重複度フリー作用 / Capelli等式 / dual pair / Berezin 変換 / 重複フリー作用 / 包絡環 / グラスマン多様体 / Harish-Chandra加群 / Lie Group / Quantum Group / Jordan Algebra / Berezin Fransformation / Diffeomorphism Group / Multiplicity-free Action / Capelli Identity / Dual Pair / 漸近理論 / 遺伝モデル / 計算数学 / 量子カオス / リーマン多様体 / 非平衡統計力学 / 確率分布モデル / asymptotics theory / genetic model / computor mathematics / stochastic control / quantum chaos / Riemannian manifold / Brownian motion / non-stationary statistical dynamics / 位相的場の理論 / ハミルトン系 / ゲージ理論 / シンプレクティック幾何学 / モ-ス理論 / 弦理論 / ホモトピー代数 / ホワイトヘッドのねじれ / 超弦理論 / 有理ホモトピー型 / 概複素曲線 / 周期軌道 / Topological Field Theory / Hamiltonian system / Gauge theory / Sympletic geometry / Morse theory / String Theory / Homotopical Algebra / Whitehead Torsion / 一意接続性 / 平滑化作用 / シュレーディンガー方程式 / ディラック方程式 / 対称化法 / 解の一意接続性 / 楕円型方程式 / シュレ-ディンガー方程式 / 強一意接続性 / 特異性の伝播 / 平滑化効果 / 偏微分方程式 / 境界値問題 / Unique continuation / Smoothing effects / Schroedinger eguation / Dirac equation / Symmetrization / ループ群 / 本質的自己共役性 / Ricci曲率 / スペクトル / 半群の比較定理 / 対数Sobolev不等式 / Laplace作用素 / 共変微分 / loop group / stocastic differential equation / inifinite dimensional analysis / essential self-adjointness / Ricci curvature / spectrum / semigroup domination / logarithmic Sobolev inequality / 確率微分幾何 / マクアバン解析 / 調和写像 / stochastic differeatial equalioes / マリアバン解析 / マリアバン演算 / 調和解析 / Stochastic differential equations / Stochstic differential geometry / Malliavin calculus / Harmonic maps / サンプルパス / Wieher sausage / 重複対数の法則 / 重複大数の法則 / ランダムウォーク / 概不変原理 / range / Stochastic processes / sample paths / large deviation / asymptotic behavior / fractal / law of the iterated logarithm / symmetric diffusion processes / 複雑な系 / 熱核 / ナッシュ不等式 / 放物型ハルナック不等式 / ベソフ空間 / 飛躍型確率過程 / ホモジナイゼーション / ソボレフ空間 / Disordered media / Heat kernel / Nash Inequality / Parabolic Harnack inequality / Besov space / Jump-type stochastic process / Homogenization / 固有値問題 / フーリエ変換 / ユニタリ表現 / 超群 / ヘッケ作用素 / シュレーディンガ作用素 / 逆問題 / eigenvalue problem / Fourier transform / unitary representation / hypergroup / Hecke operater / Schrodinger operater Less
  • Research Projects

    (23 results)
  • Co-Researchers

    (61 People)
  •  INteraction between probability and analysis on disordered media

    • Principal Investigator
      KUMAGAI Takashi
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      KYOTO UNIVERSITY
  •  確率解析に関する国際研究集会のための企画調査

    • Principal Investigator
      熊谷 隆
    • Project Period (FY)
      2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Kyoto University
  •  複雑度の高い空間における確率解析の研究

    • Principal Investigator
      若野 功
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyoto University
  •  Analysis of sample paths for stochastic processes

    • Principal Investigator
      KUMAGAI Takashi
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyoto University
  •  GEOMETRY OF STOCHASTIC DIFFERENTIAL EQUATIONS

    • Principal Investigator
      KUNITA Hiroshi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for international Scientific Research
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      KYUSHU UNIVERSITY
  •  Cooperative Research on PDE

    • Principal Investigator
      OKAJI Takeshi, 岩崎 敷久
    • Project Period (FY)
      1996 – 1998
    • Research Category
      Grant-in-Aid for international Scientific Research
    • Research Field
      解析学
    • Research Institution
      KYOTO UNIVERSITY
  •  Stochastic analysis on a loop group

    • Principal Investigator
      SHIGEKAWA Ichiro
    • 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
      KYOTO UNIVERSITY
  •  Probability theory related to analysis and geometry

    • Principal Investigator
      OGURA Yukio
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Saga University
  •  Research on random phenomena by the methods of modern mathematicsPrincipal Investigator

    • Principal Investigator
      WATANABE Shinzo
    • Project Period (FY)
      1995 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      KYOTO UNIVERSITY
  •  Categorical Algebra and Topological Field Theory

    • Principal Investigator
      FUKAYA Kenji
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      KYOTO UNIVERSITY
  •  Analytic and geometric studies of group representations and their applications

    • Principal Investigator
      NOMURA Takaaki
    • Project Period (FY)
      1994 – 1995
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      KYOTO UNIVERSITY
  •  確率過程論とloop空間上の確率解析

    • Principal Investigator
      重川 一郎
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyoto University
  •  確率過程論とその応用研究Principal Investigator

    • Principal Investigator
      渡辺 信三
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyoto University
  •  Modern Analysis for the Equations of Mathematical Science

    • Principal Investigator
      NISHIDA Takaaki
    • Project Period (FY)
      1992 – 1994
    • Research Category
      Grant-in-Aid for General Scientific Research (A)
    • Research Field
      解析学
    • Research Institution
      KYOTO UNIVERSITY
  •  複素多様体の幾何とその解析的研究

    • Principal Investigator
      谷口 雅彦
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kyoto University
  •  Modern Mathematical Research for Equations in Mathematical Physics

    • Principal Investigator
      NISHIDA Takaaki
    • Project Period (FY)
      1990 – 1991
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      Kyoto University
  •  数理物理の現代数学的研究

    • Principal Investigator
      IKEBE Teruo
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      Kyoto University
  •  複素多様体の幾何学的及び解析的研究とその応用

    • Principal Investigator
      谷口 雅彦
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kyoto University
  •  Comprehensive Study of Probability Theory

    • Principal Investigator
      KUNITA Hiroshi
    • Project Period (FY)
      1989 – 1990
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyushu University
  •  Mathematical Study on Stochastic ModelsPrincipal Investigator

    • Principal Investigator
      WATANABE Shinzo
    • Project Period (FY)
      1987 – 1988
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyoto University
  •  多様体の位相的・代数的研究

    • Principal Investigator
      戸田 宏
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Kyoto University
  •  近代函数論の位相的解析的研究

    • Principal Investigator
      KUSUNOKI Yukio
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kyoto University
  •  Group-theoretical research of eigenvalue problems and its applications

    • Principal Investigator
      YOSHIZAWA Hisaaki
    • Project Period (FY)
      1985 – 1986
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyoto University
  • 1.  TANIGUCHI Masahiko (50108974)
    # of Collaborated Projects: 10 results
    # of Collaborated Products: 0 results
  • 2.  SHIGEKAWA Ichiro (00127234)
    # of Collaborated Projects: 9 results
    # of Collaborated Products: 0 results
  • 3.  HIRAI Takeshi (70025310)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 4.  IKEBE Teruo (00025280)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 5.  NISHIDA Takaaki (70026110)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 6.  IWASAKI N (70027374)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 7.  KOKUBU Hiroshi (50202057)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 8.  OKAJI Takeshi (20160426)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 9.  NOMURA Takaaki (30135511)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 10.  KUMAGAI Takashi (90234509)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 11.  KUNITA Hiroshi (30022552)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 12.  UENO Kenji (40011655)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 13.  YOSHIDA Nobuo (40240303)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 14.  HINO Masanori (40303888)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 15.  TAKAHASHI Yoichiro (20033889)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 16.  NISHIDA Goro (00027377)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 17.  OGURA Yukio (00037847)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 18.  足立 正久 (50025285)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 19.  JIMBO Michio (80109082)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 20.  FUNAKI Tadahisa (60112174)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 21.  YAMAGUTI Masaya (30025796)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 22.  KONO Akira (00093237)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 23.  KUSUNOKI Yukio (90025221)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 24.  KOTANI Shinichi (10025463)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 25.  HIJIKATA Hiroaki (00025298)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 26.  UMEDA Toru (00176728)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 27.  TANIGUCHI Setsuo (70155208)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 28.  永田 雅宜 (00025230)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 29.  戸田 宏 (60025236)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 30.  SHIGA Tokuzo (60025418)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  ITO Yuuji (90112987)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  NAGAI Hideo (70110848)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  IKEDA Nobuyuki (00028078)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  FUKAYA Kenji (30165261)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  SHIMIZU Yuji (80187468)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 36.  DOI Shin-ichi (00243006)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 37.  SUGITA Hiroshi (50192125)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  SATO Hiroshi (30037254)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 39.  KIGAMI Jun (90202035)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 40.  YOSHIZAWA Hisaaki (50025219)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 41.  後藤 泰宏 (70205615)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 42.  大竹 博巳 (70168970)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 43.  若野 功 (00263509)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 44.  松本 裕行 (00190538)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 45.  溝畑 茂 (20025216)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 46.  志賀 啓成 (10154189)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 47.  土谷 正明 (50016101)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 48.  田中 洋 (70011468)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 49.  山下 博 (30192793)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 50.  岩塚 明 (40184890)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 51.  斎藤 政彦 (80183044)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 52.  伊藤 宏 (90243005)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 53.  楠岡 成雄 (00114463)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 54.  DE CARLI Laura
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 55.  FERONE Vincenzo
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 56.  TROMBETTI Guido
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 57.  LAURA De Car
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 58.  VINCENZO Fer
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 59.  GUIDO Trombe
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 60.  POSTERARO Ma
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 61.  ALVIO Angero
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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