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ICHIHARA Kanji  市原 完治

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… Alternative Names

ICHIHARA Kenji  市原 完治

市原 完治  イチハラ カンジ

市原 克治  イチハラ カンジ

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Researcher Number 00112293
Affiliation (based on the past Project Information) *help 2017: 名城大学, 理工学部, 教授
2014: 名城大学, 理工学部, 教授
2011: 名城大学, 理工学部, 教授
2002 – 2005: Kansai University, Faculty of Engineering, Professor, 工学部, 教授
1999 – 2001: 名古屋大学, 大学院・多元数理科学研究科, 助教授 … More
1997: Nagoya University, Graduate School of Math., Associate Professor, 大学院多元数理科学研究科, 助教授
1995 – 1997: 名古屋大学, 大学院・多元数理科学研究科, 助教授
1991 – 1992: 名古屋大学, 教養部, 助教授
1987 – 1989: 名古屋大学, 教養部, 助教授
1986: 名大, 教養部, 講師 Less
Review Section/Research Field
Principal Investigator
General mathematics (including Probability theory/Statistical mathematics) / Basic analysis / Basic analysis
Except Principal Investigator
General mathematics (including Probability theory/Statistical mathematics) / General mathematics (including Probability theory/Statistical mathematics) / 解析学 / Basic analysis / Basic analysis / 代数学・幾何学
Keywords
Principal Investigator
マルコフ連鎖 / 大偏差原理 / 調和変換 / large deviation / ブラウン運動 / スペクトル / principal eigenfunction / 熱核 / Brownian motion / spectrum … More / 離散群 / 樹木 / 主固有関数 / curvature / heat kernel / pinned process / 固定端過程 / リーマン多様体 / fractal / rate function / homogenous tree / radial random walk / 周期的マルコフ連鎖 / ランダムウォーク / 保型関数 / spherical mean / 可逆的マルコフ連鎖 / 結晶格子 / 双曲的リーマン多様体 / harmonic measure / stable foliation / 測地流 / 保形関数 / 基本領域 / ロバチェフスキー平面 / レート関数 / 等質樹木 / tree / hyperbolic space / Markov process / 対称空間 / 被覆空間 / 主固有値 / ディリクレ形式 / ロバチェフスキー空間 / マルコフ過程 / Serpinski carpet / Gibbs measure / covering space / harmonic transform / Labachevsky空間 / ラプラシアン / 負曲率リーマン多様体 / Sierpinski Carpets / Gibbs測度 / 普遍被覆空間 / quauntum stochascic process / birth and dath process / random environment / Harnack's inequality / Stochastic Burgers equation / Stochastic partial diflerential equation / hydrodynamical limit / バーガーズ方程式 / 特異摂動 / 反応拡散方程式 / 界面 / ギブス分布 / エントロピー / 準安定挙動 / 再帰性 / Liouville性 / 拡散過程 / Dirichlet空間 / 差分作用素 / フラクタル / 量子確率過程 / 出生死滅過程 / ランダム媒質 / Harnack不等式 / 確率Burgers方程式 / 確率偏微分方程式 / 流体力学極限 / 時間的一様な独立増分をもつ確率過程 / モード / 単峰な確率分布 / Invarianto-field / Tailσ-field / 負曲率 / リーマン多様体上のブラウン運動 / 爆発問題 / 対称マルコフ過程 / ベルマン方程式 / 符号化定理 / OrnsteinーUhlenbeck型確率過程 / 自己相似な確率過程 / ハルナック不等式 / 再帰性・非再帰性 / 一点への到達確率 … More
Except Principal Investigator
無限次元確率過程 / 無限次元ラプラシアン / 量子確率過程 / excursion / ディリクレ形式 / Dirichlet form / マルコフ過程 / Sierpinski Carpet / heat kernel / 拡散過程 / フラクタル / 超汎関数空間 / 無限次元確率解析 / 分枝過程 / 力学系理論 / 量子情報解析 / 無限次元ラプラス作用素 / ホワイトノイズ超関数 / ガウス型通信路 / 加法過程 / ハルナック不等式 / ジュブレイ指数 / マルチンゲール理論 / 高次チェザロ和 / 超汎関数空間論 / 数理ファイナンス / ホワイトノイズ理論 / 超関数空間 / Analytic Capacity / Logarithmic Diffusion Kernel / Stochastic Control Problem / Brownian Motion / Gaussian Channel / Self-similar Process / Markov Process / Birth-and-death Process / 標準量子限界 / ピカール集合 / ディリクレ核 / 再帰性 / サボーディネイション / ヤン・バクスター方程式 / 特異点集合 / 有理型関数 / リーマン多様体 / 公理A / 組みひも群 / シュレ-ディンガ-作用素 / 確率制御 / フィ-ドバック / 自己分解可能分布 / 解析的容量 / 対数型拡散核 / 確率制御問題 / ブラウン運動 / 自己相似過程 / 出生死亡過程 / stopping game / Poisson point process / scale function / Feller measures / time changed process / symmetric Markov process / 確率停止ゲーム理論 / スペクトル総合 / 対称安定過程 / 定量解析 / ダグラス積分 / 確率停止ゲーム / ポアッソン点過程 / スケール関数 / フェラー測度 / 時間変更過程 / 対称マルコフ過程 / network / limit theorems / Gibbs measure / integrable system / ラプラス法 / 大偏差原理 / 長距離可積分系 / ポリヤの壺 / ネットワーク / 極限定理 / Gibbs芝則度 / 可積分力学系 / singular equation / Borel summability / divergent solution / orthogonal polynomials / LR transform / quasi hypergeometric / 離散可積分系 / モノドロミー / 特異点 / Wu方程式 / 接続行列 / 差分方程式 / 超幾何積分 / 超球面配置 / 接続関係式 / ポアンカレ条件 / 収束,発散 / 形式的巾級数解 / 特異偏微分方程式 / ボレル総和可能性 / 発散級数解 / 直交多項式 / LR変換 / 準超幾何関数 / determinantal randomu-point field / Random Matrix / Marka process / Iso perimetic inequality / Fractal / Dirichlet forms / diffusion processes / パーコレーション / determinantal random point field / ランダム行列 / 等周不等式 / Dirichlet形式 / homogenization / Harnack ineguality / sierpinski carpet / self-similar set / stochastic process / fractal / 固有値分布 / ハウスドルク次元 / ランダムウォーク / ホモジナイゼーション / シェルピンスキーカーペット / 熱核 / 自己相似集合 / 確率過程 / エルゴード理論 / 符号力学系 / 無限次元ブラウン運動の積 / 超函数の積 / 量子ホワイトノイズ / 数論的確率論 / 量子確率論 / 確率論的数論 / 量子情報論 / 関数解析 / 確率解析 / 無限次元解析 / チェサロヒルベルト空間 / ホワイトノイズの高階微分 / レヴィ・ラプラシアンの一般化 / Exotic Laplacian / 確率過程構成法 / ガウス空間 / 無限次元調和解析 / 確率微分方程式 / 量子スピン系 / 量子散逸 / ボゾン・フォック空間 / 量子確率 / 量子確率積分 / 散逸量子系 / フォック空間 / ガウス型確率変数 / ホワイトノイズ / マルコフ連鎖 / 単峰性 / 勾配評価 / ベルマン方程式 / エルゴード的確率制御問題 / WentzellーFreidlin型拡散過程 / 確率偏微分方程式 / ル-プ空間 / 非線式拡散方程式 / 大数の法則 / 排除過程 / GinzburgーLandauモデル / 流体力学極限 / 微分作用素環上の行列式 / 指数定理 / 常微分作用素 / グルサ-問題 / フックス型方程式 / ニュ-トン図形 / 形式的巾級数 / G-構造 / 微分多項式 / 実代数的 / 同値問題 / 曲率テンソル Less
  • Research Projects

    (21 results)
  • Research Products

    (2 results)
  • Co-Researchers

    (50 People)
  •  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
  •  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
  •  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
  •  Quantitative analysis of reversible Markov processes and the theory of stochastic stopping game

    • Principal Investigator
      FUKUSHIMA Masatoshi
    • Project Period (FY)
      2003 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kansai University
  •  Asymptotics of heat kernels on non-euclidean spaces and spectrumPrincipal Investigator

    • Principal Investigator
      ICHIHARA Kanji
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Kansai University
  •  Probabilistic Analysis of Gibbs measures associated with the integrable system

    • Principal Investigator
      CHIYONOBU Taizo
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kwansei Gakuin University
  •  Asymptotics of heat kernels and principal eigenvalue problems for LaplaciansPrincipal Investigator

    • Principal Investigator
      ICHIHARA Kanji
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Kansai University
      Nagoya University
  •  A new approach to the construction of multi-dimensional diffusion processes via Dirichlet forms and iso perimetric inequalities

    • Principal Investigator
      OSADA Hirofumi
    • Project Period (FY)
      1999 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Graduate School of Mathematics, 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
  •  Asymptotic properties of heat kernels and their applicationsPrincipal Investigator

    • Principal Investigator
      ICHIHARA Kanji
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Nagoya University
  •  量子確率過程の超関数論的研究

    • 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
  •  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
      OBATA Nobuaki
    • 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 mechanicsPrincipal Investigator

    • 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
  •  エルゴード型ベルマン方程式の研究

    • Principal Investigator
      長井 英生
    • Project Period (FY)
      1992 – 1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Nagoya University
  •  マルコフ過程とその応用Principal Investigator

    • Principal Investigator
      市原 完治
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Nagoya University
  •  流体力学極限の確率過程論的研究

    • Principal Investigator
      FUNAKI Tadahisa
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Nagoya University
  •  代数的リ-マン多様体

    • Principal Investigator
      大和 一夫
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Nagoya University
  •  複素領域における微分方程式系と関連分野の研究

    • Principal Investigator
      MIYAKE Masatake
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Institution
      Nagoya University
  •  Study of Stochastic Processes

    • Principal Investigator
      SATO Ken-iti
    • Project Period (FY)
      1987 – 1989
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Nagoya University
  •  マルコフ過程の研究Principal Investigator

    • Principal Investigator
      市原 完治
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Nagoya University

All 2002

All Journal Article

  • [Journal Article] Birth and death processes in randomly fluctuation environments2002

    • Author(s)
      Ichihara
    • Journal Title

      Nagoya Math J. 166

      Pages: 29-50

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540110
  • [Journal Article] Birth and death processes in randomly fluctuation environments2002

    • Author(s)
      K.Ichihara
    • Journal Title

      Nagoya Math J 166

      Pages: 29-50

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540110
  • 1.  MIYAKE Masatake (70019496)
    # of Collaborated Projects: 9 results
    # of Collaborated Products: 0 results
  • 2.  CHIYONOBU Taizo (50197638)
    # of Collaborated Projects: 9 results
    # of Collaborated Products: 0 results
  • 3.  OBATA Nobuaki (10169360)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 4.  SATO Ken-iti (60015500)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 5.  SUGIURA Makoto (70252228)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 6.  NAGAI Hideo (70110848)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 7.  KUMAGAI Takasi (90234509)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 8.  AOMOTO Kazuhiko (00011495)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 9.  OSADA Hirofumi (20177207)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 10.  小沢 正直 (40126313)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 11.  IHARA Shunsuke (00023200)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 12.  FUNAKI Tadahisa (60112174)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 13.  SAITO Kimiaki (90195983)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 14.  MIMACHI Yuko (00218629)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 15.  HIBINO Yuji (50253589)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 16.  FUKUSHIMA Masatoshi (90015503)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 17.  佐藤 肇 (30011612)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 18.  HATTORI Tetsaya (10180902)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 19.  ITO Masayuki (60022638)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 20.  MINAMI Kazuhiko (40271530)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 21.  KUSUDA Masaharu (80195437)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 22.  KURISU Tadashi (00029159)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 23.  松本 幾久二 (90023522)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 24.  村井 隆文 (00109266)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 25.  MATSUZAWA Tadato (20022618)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  NISHI Kenjiro (30076616)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  LIANG Song (60324399)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  ISHIGE Kazuhiro (90272020)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  UEMURA Hideaki (30203483)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  SHINODA Masato (50271044)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  NAKANISHI Tomoki (80227842)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  KIMURA Yoshihumi (70169944)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  OKADA Soichi (20224016)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  YABUTA Kozo (30004435)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  YAMANE Hideshi (80286145)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 36.  TAMURA Yozo (50171905)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 37.  OSHIMA Youichi (20040404)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  UEMURA Toshihiro (30285332)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 39.  HIRASHIMA Yasumasa (80047399)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 40.  NOMOTO Hisao (40023030)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 41.  大和 一夫 (30022677)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 42.  江尻 典雄 (80145656)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 43.  塩田 昌弘 (00027385)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 44.  内藤 久資 (40211411)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 45.  四方 義啓 (50028114)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 46.  行者 明彦 (50116026)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 47.  河野 俊丈 (80144111)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 48.  池上 宜弘 (00023614)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 49.  ACCARDI Luigi
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 50.  KUO Hui-Hsiung
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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