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FUKAI Yasunari  深井 康成

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深井 康成  フカイ ヤスナリ

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Researcher Number 00311837
Other IDs
Affiliation (Current) 2025: 九州歯科大学, 歯学部, 講師
Affiliation (based on the past Project Information) *help 2009: 九州大学, 大学院・数理学研究院, 助手
2008: 九州大学, 大学院・数理学研究科, 助教
2007: 九州大学, 数理学研究院, 助教
2006: 九州大学, 大学院数理学研究院, 助手
2000 – 2005: 九州大学, 大学院・数理学研究院, 助手
2001: Faculty of Mathematics, Kyushu University, Assistant, 大学院・数理研究院, 助手
1999 – 2000: 九州大学, 大学院・数理学研究科, 助手
Review Section/Research Field
Except Principal Investigator
Basic analysis / Basic analysis / General mathematics (including Probability theory/Statistical mathematics)
Keywords
Except Principal Investigator
確率振動積分 / 確率微分方程式 / Malliavin calculus / 確率解析 / heat kernel / ブラウン運動 / 跡公式 / 熱核 / マリアヴァン解析 / 確率面積 … More / Schrodinger operator / random walk / asymptotic behavior / stochastic oscillatory integral / Brownian motion / path integral / stochastic analysis / ディリクレ形式 / 経路空間 / ダイの定理 / ブラウニアンミアンダー / ウィシャート過程 / スペクトル / ランダム場 / ウィナー汎関数 / シュレディンガー作用素 / ランダムウォーク / 漸近挙動 / 経路積分 / Hormander's hypoellipticity condition / Levy process / Stochastic differential equation / ランダム・ウオーク / p-進体 / ストカスティック・フロー / 準だ円性 / 加法過程 / 準だ円性条件 / マリアバン解析 / レビー過程 / large deviation / trace formula / asymptotic theory / localization / quadratic phase function / Stochastic oscillatory integral / 停留位相法 / ヤコビ方程式 / 複素変数変換 / 非線形変換 / グリーン関数 / レヴィ測度 / 大偏差原理 / 漸近理論 / 局所化 / 2次相関数 / 確立振動積分 / finite integral adeles / Random Weyl sampling / Monte-Carlo integration / Numerical integration / Pseudorandom number generator / Stochastic numerics / Infinite dimensional stochastic analysis / pairwise independent / ランダムサンプリング / アデール環 / 擬似乱数 / 無限次元確率解析 / 有限整アデール環 / ランダム・ワイル・サンプリング / モンテカルロ積分 / 数値積分 / 疑似乱数 / 確率数値解析 / 無限次元確立解析 / 2次ウイナー汎関数 / 広田微分 / 二次ウィナー汎関数 / 1-ソリトン / 非可換調和振動子 / オレンシュタイン・ウーレンベッマ過程 / 2次ウィナー汎関数 / KdV階層 / KdV方程式 / 確率力学系 / 確率場 / 無限粒子系 / 統計力学 / 解析学 / 確率論 Less
  • Research Projects

    (6 results)
  • Research Products

    (2 results)
  • Co-Researchers

    (29 People)
  •  Applications of stochastic calculus to the KdV equation and hierarchy

    • Principal Investigator
      TANIGUCHI Setsuo
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Kyushu University
  •  Comprehensive and integrated research of problems motivated by statistical mechanics with stochastic analysis

    • Principal Investigator
      OSADA Hirofumi
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Basic analysis
    • Research Institution
      Kyushu University
  •  A study of stochastic analysis - synthesizing and integrating

    • Principal Investigator
      TANIGUCHI Setsuo
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Basic analysis
    • Research Institution
      KYUSHU UNIVERSITY
  •  Infinite dimensional and numerical stochastic analysis

    • Principal Investigator
      SUGITA Hiroshi
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      KYUSHU UNIVERSITY
  •  A Study of asymptotic behaviors of stochastic oscillatory integrals

    • Principal Investigator
      TANIGUCHI Setsuo
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      KYUSHU UNIVERSITY
  •  Diffusion Processes and Diffusion Equations in Random Environment

    • Principal Investigator
      KUNITA Hiroshi
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Nanzan University
      Kyushu University

All 2004

All Journal Article

  • [Journal Article] Hitting time of a half-line by two-dimensional random walk2004

    • Author(s)
      Y.FUkai
    • Journal Title

      Probab. Th. Rel. Fields 128

      Pages: 323-346

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14204010
  • [Journal Article] Hitting time of a half-line by two-dimensional random walk2004

    • Author(s)
      Y.Fukai
    • Journal Title

      Probab.Th.Rel.Fields. 128

      Pages: 323-346

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14204010
  • 1.  TANIGUCHI Setsuo (70155208)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 2.  SUGITA Hiroshi (50192125)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 3.  MATSUMOTO Hiroyuki (00190538)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 4.  YASUDA Kumi (40284484)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 5.  KUMAGAI Takashi (90234509)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 6.  SHIRAI Tomoyuki (70302932)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 7.  HAMANA Yuji (00243923)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 8.  KUNITA Hiroshi (30022552)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 9.  OSADA Hirofumi (20177207)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 10.  FUNAKI Tadahisa (60112174)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 11.  SHINODA Masato (50271044)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  HARA Takashi (20228620)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  UTIYAMA Kohei (00117566)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  TANEMURA Hideki (40217162)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  NAGAHATA Yukio (50397725)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  HIGUCHI Yasunari (60112075)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  MITOMA Itaru (40112289)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  SUGIURA Makoto (70252228)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  KONNNO Norio (80205575)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  KOMORIYA Keishi (40323258)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  OTOBE Yoshiki (30334882)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  YOSHIDA Nobuo (40240303)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  LIANG Song (60324399)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  HANDA Kenji (10238214)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  TAKANOBU Satoshi (40197124)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  OGAWA Shigeyoshi (80101137)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  SATO Yoshihiro (30249213)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  吉川 敦 (80001866)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  HAMACHI Toshihiro (20037253)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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