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HIRATA Masaki  平田 雅樹

ORCIDConnect your ORCID iD *help
Researcher Number 70254141
Affiliation (Current) 2022: 東京都立大学, 理学研究科, 助教
Affiliation (based on the past Project Information) *help 2007 – 2010: 首都大学東京, 大学院・理工学研究科, 助教
2008: 首都大学東京, 大学院・理工学研究科, 教授
1999 – 2003: Dept of Math. AP, 理学研究科, 助手
2002: 東京都立大学, 大学院・理学研究科, 助手
1997: TOKYO METROPOLITAN UNIVERSITY,Graduate School of Science, Assistant Professor, 理学研究科, 助手
1993 – 1996: 東京都立大学, 理学部, 助手
1994: 東京都立大学, 理学部
Review Section/Research Field
Principal Investigator
General mathematics (including Probability theory/Statistical mathematics) / Global analysis / Global analysis
Except Principal Investigator
General mathematics (including Probability theory/Statistical mathematics) / Basic analysis / Global analysis / Basic analysis
Keywords
Principal Investigator
再帰時間 / 力学系 / カオス / 量子カオス / エルゴード理論 / 固有値分布 / ポアソン分布 / ポアソン法則 / カオス的力学系 / 非線形現象 … More
Except Principal Investigator
… More 重調和作用素 / 非線形現象 / カオス / 単極子 / マルコフ擬過程 / first hitting time / first hitting place / 強マルコフ性 / 超関数 / 回帰性 / 境界値問題 / 力学系 / アトラクター / 双曲型 / 周期アトラクター / 複雑系 / 非可逆系 / 数理生態学 / パターン形成 / 非線形光学 / 変分問題 / 最適化問題 / 非線形楕円型偏微分方程式 / 反応拡散系 / ソボレフ空間 / コンパクト埋め込み定理 / 非線形楕円型境界値問題 / ギーラー・マインハルト系 / コンパクト埋め込み / 特異摂動問題 / 非線形シュレディンガー方程式 / 放物型偏微分方程式 / 内在的超縮小性 / 固有値 / スペクトラルギャップ / 熱核 / ギンツブルグ・ランダウ方程式 / 非線形楕円型方程式 / 多様体上の解析 / 関数方程式の大域理論 / 初期値鋭敏性 / 多様体 / 微分可能 / 位相 / 現象 / 沈点 / 源点 / 環 / 半群 / エルゴード / chaos / sensitive / manifold / dynamical system / prediction / 非平衡 / メディア / キンズブルグ-ランダウ方程式 / 安定 / 公理A / 強横断性 / 逆極限 / キンズブルクグ-ランダウ方程式 / 非双曲型 / 双曲型測度 / SBR測度 / non-equilibrium / media / Ginzbrug-Landau equation / stability / Axiom A / strong transversality / inverse / 双極子 / 4階偏微分方程式 / 数値解 / 安定点 / Poisson分布 / 無限次元力学系 / 弱い意味での確率積分 / Girsanovの公式 / 4階非線形偏微分方程式 / 確率解 / biharmonic operator / monopole / dipole / absorbing boundary / sticky boundary / reflecting boundary / ウェイヴレット / 偏微分方程式 / 戸田方程式 / 選点法 / 半離散化 / ハミルトン力学 / 数値計算スキーム / スプライン近似 / エネルギー保存差分スキーム / ウェイヴレット展開 / ハミルトン力学系 / 分散なし戸田方程式 / 弱l^Pノルム / 双曲型偏微分方程式 / 数値解析 / 差分スキーム / ランダム行列 / エルゴード制御 / シュレーディンガー方程式 / ルンゲークッタ / 運動ロボット / 雑音除去 / wavelet / partial differential equation / Toda equation / collocation method / semi-discretization / Hamiltonian dynamics / numerical scheme / spline approximation / ポテンシャル論 / 自由境界問題 / 求積領域 / ヘレンショウ流れ / ヘレショウ流れ / Potential theory / Free boundary problem / Quadrature domain / Hele-Shaw flow / 重調和擬過程 / 単極子と双極子 / 吸収壁 / 高次の反射壁 / 固定端 / 蝶番端 / スライド端 / 自由端 / BPP / 境界条件 / 構造力学 / 多重極子 / Brown運動 / 高階境界条件 / n階境界条件 / 解析的境界条件 / 反射壁 / 滞留壁 / ランダム・ウォーク / A biharmonic pseudo process / Monopole particle / Dipole particle / The first hitting time / The killing boundary / The reflecting boundary / Self adjoint boundary / The structural ends Less
  • Research Projects

    (13 results)
  • Research Products

    (23 results)
  • Co-Researchers

    (32 People)
  •  Analysis of Chaotic Phenomena by the Hitting Time Distribution of Dynamical SystemsPrincipal Investigator

    • Principal Investigator
      HIRATA Masaki
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Tokyo Metropolitan University
  •  Research for asymptotic behavior of solutions of nonlinear differential equations

    • Principal Investigator
      TAKAKUWA Shoichiro
    • Project Period (FY)
      2007 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Tokyo Metropolitan University
  •  Study of the structure of solutions to variational problems, optimization problems, linear and nonlinear partial differential equations

    • Principal Investigator
      KURATA Kazuhiro
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Tokyo Metropolitan University
  •  The first exit time of a biharmonic pseudo process and its application to the boundary value problems

    • Principal Investigator
      NISHIOKA Kunio
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Tokyo Metropolitan University
  •  力学系の再帰時間に関するポアソン法則と「カオス的遍歴」の研究Principal Investigator

    • Principal Investigator
      平田 雅樹
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Global analysis
    • Research Institution
      Tokyo Metropolitan University
  •  Numerical Analysis for Inverse Problems and Applications of Wavelet Analysis

    • Principal Investigator
      OKADA Masami
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Tokyo Metropolitan University
      Tohoku University
  •  Changes of configuration in free boundary problems

    • Principal Investigator
      SAKAI Makoto
    • Project Period (FY)
      2000 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      TOKYO METROPOLITAN UNIVERSITY
  •  Study of path-behaviors of Biharmonic Psuedo Process with boundaries

    • Principal Investigator
      NISHIOKA Kunio
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      TOKYO METOROPOLITAN UNIVERSITY
  •  Theoretical Study of Chaotiic Phenomena of Non-invertible Sysytems

    • Principal Investigator
      AOKI Nobuo
    • 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
      TOKYO METROPOLITAN UNIVERSITY
  •  アトラクターによる力学系の分類の研究

    • Principal Investigator
      青木 統夫
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Tokyo Metropolitan University
  •  カオス的な力学系の再帰時間のPoisson法則及び量子カオスの数学的問題Principal Investigator

    • Principal Investigator
      平田 雅樹
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Tokyo Metropolitan University
  •  発展方程式に付随する擬過程の研究

    • Principal Investigator
      NISHIOKA K
    • 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
      Tokyo Metropolitan University
  •  Theoretical Study of Chaotic Phenomena

    • Principal Investigator
      AOKI Nobuo
    • Project Period (FY)
      1993 – 1994
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Tokyo Metropolitan University

All 2011 2010 2009 2008 2007 2006 Other

All Journal Article Presentation

  • [Journal Article] 到達時間分布と再会時間分布2010

    • Author(s)
      平田雅樹
    • Journal Title

      論文集「非線形現象の数理」

      Volume: 1 Pages: 25-35

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540214
  • [Journal Article] On the "meeting time" distribution of Bernoulli shifts2010

    • Author(s)
      平田雅樹
    • Journal Title

      Proc. of workshop "Mathematical Approach to Nonlinear Phenomena 1巻

      Pages: 51-57

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540214
  • [Journal Article] 到達時間分布と再会時間分布2010

    • Author(s)
      平田雅樹
    • Journal Title

      論文集「非線形現象の数理」 1巻

      Pages: 25-35

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540214
  • [Journal Article] On the "meeting time" distribution of Bernouille shifts.2010

    • Author(s)
      Masaki HIRATA
    • Journal Title

      Proc. of workshop"Marthematical Approach to Nonlinear Phenomena"

      Pages: 51-57

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540214
  • [Journal Article] Return time distribution and Strength of Chaos2008

    • Author(s)
      Masaki HIRATA
    • Journal Title

      proc. of international workshop "Chaos and Complexity"

      Pages: 13-23

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540214
  • [Journal Article] The asymptotic distribution of the return time of some non-uniformly hyperbolic systems2006

    • Author(s)
      Masaki Hirata
    • Journal Title

      Proc. of the symposium"Infinite Ergodic Theory and Related Topics"

      Pages: 36-45

    • Data Source
      KAKENHI-PROJECT-18540191
  • [Journal Article] Return time distribution and Strength of Caos

    • Author(s)
      Masaki HIRATA
    • Journal Title

      to appear in proc. of international workshop "Chaos and Complexity"

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540191
  • [Presentation] Hitting time and Meeting time distributions of Chaotic dynamical systems2011

    • Author(s)
      平田雅樹
    • Organizer
      Mathematical Approach to Nonlinear Phenomena II
    • Place of Presentation
      エコール・ポリテクニーク
    • Year and Date
      2011-03-09
    • Data Source
      KAKENHI-PROJECT-20540214
  • [Presentation] 到達時間分布と再会時間分布2010

    • Author(s)
      平田雅樹
    • Organizer
      研究集会「非線形現象の数理」
    • Place of Presentation
      法政大学
    • Year and Date
      2010-10-21
    • Data Source
      KAKENHI-PROJECT-20540214
  • [Presentation] 力学系のmeeting timeの計算2010

    • Author(s)
      赤石明、平田雅樹、他
    • Organizer
      日本物理学会
    • Place of Presentation
      岡山大学
    • Year and Date
      2010-03-20
    • Data Source
      KAKENHI-PROJECT-20540214
  • [Presentation] 力学系のmeeting timeの分布2010

    • Author(s)
      平田雅樹、赤石、山本、首藤
    • Organizer
      日本物理学会
    • Place of Presentation
      岡出大学
    • Year and Date
      2010-03-20
    • Data Source
      KAKENHI-PROJECT-20540214
  • [Presentation] 到達時間分布と再会時間分布2010

    • Author(s)
      平田雅樹
    • Organizer
      非線形現象の数理
    • Place of Presentation
      法政大学
    • Year and Date
      2010-10-21
    • Data Source
      KAKENHI-PROJECT-20540214
  • [Presentation] On the "Meeting time" distribution of Bernouille shifts2010

    • Author(s)
      平田雅樹
    • Organizer
      Mathematical Approach to Nonlinear Phenomena
    • Place of Presentation
      エコール・ポリテクニーク
    • Year and Date
      2010-03-02
    • Data Source
      KAKENHI-PROJECT-20540214
  • [Presentation] On the "meeting time" distribution of Bernouille shifts2010

    • Author(s)
      Masaki HIRATA
    • Organizer
      Marthematical Approach to Nonlinear Phenomena
    • Place of Presentation
      エコール・ポリテクニーク
    • Year and Date
      2010-03-02
    • Data Source
      KAKENHI-PROJECT-20540214
  • [Presentation] An approach to the new characterization of chaotic phenomena by the return time2009

    • Author(s)
      平田雅樹
    • Organizer
      Infinite ergodic theory and its applications
    • Place of Presentation
      エコール・ポリテクニーク
    • Year and Date
      2009-03-04
    • Data Source
      KAKENHI-PROJECT-20540214
  • [Presentation] An approach to the new characterization of chaotic phenomena by the return times2009

    • Author(s)
      Masaki HIRATA
    • Organizer
      ワークショップ「Infinite ergodic theory and its applications」
    • Place of Presentation
      エコール・ポリテクニーク
    • Year and Date
      2009-03-11
    • Data Source
      KAKENHI-PROJECT-20540214
  • [Presentation] An approach to the new characterization of chaotic phenomena by the return times2009

    • Author(s)
      平田雅樹
    • Organizer
      ワークショップ「Infinite ergodic theory and its applications」
    • Place of Presentation
      エコール・ポリテクニーク(フランス)
    • Data Source
      KAKENHI-PROJECT-19540223
  • [Presentation] 再帰時間スペクトルとその応用2008

    • Author(s)
      平田 雅樹
    • Organizer
      早稲田シンポジウム「無限測度のエルゴート問題とその周辺III」
    • Place of Presentation
      早稲田大学
    • Data Source
      KAKENHI-PROJECT-19540223
  • [Presentation] 再帰時間スペクトルとその応用早稲田シンポジウム2008

    • Author(s)
      平田雅樹
    • Organizer
      早稲田シンポジウム「無限測度のエルゴード問題とその周辺III」
    • Place of Presentation
      早稲田大学
    • Data Source
      KAKENHI-PROJECT-19540223
  • [Presentation] 再帰時間スペクトルについて2008

    • Author(s)
      平田雅樹
    • Organizer
      研究集会「複雑系の数理」
    • Place of Presentation
      法政大学
    • Year and Date
      2008-12-10
    • Data Source
      KAKENHI-PROJECT-20540214
  • [Presentation] 再帰時間スペクトルについて2008

    • Author(s)
      平田雅樹
    • Organizer
      研究集会「複雑系の数理」
    • Place of Presentation
      法政大学
    • Data Source
      KAKENHI-PROJECT-19540223
  • [Presentation] Return time distribution and Strength of Chaos2007

    • Author(s)
      平田雅樹
    • Organizer
      Chaosand Complexity
    • Place of Presentation
      法政大学
    • Data Source
      KAKENHI-PROJECT-19540223
  • [Presentation] 再帰時間分布によるカオスの特徴付けに向けて2007

    • Author(s)
      平田雅樹
    • Organizer
      早稲田シンポジウム「無限測度のエルゴード問題とその周辺II」
    • Place of Presentation
      早稲田大学
    • Data Source
      KAKENHI-PROJECT-19540223
  • 1.  NISHIOKA K (60101078)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 2.  AOKI Nobuo (60087020)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 3.  YAMASHITA S (30087019)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 4.  OKADA Masami (00152314)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 5.  TAKAKUWA Shoichiro (10183435)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 6.  KURATA Kazuhiro (10186489)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 7.  MATSUI T (50199733)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 8.  SUMI Naoya (50301411)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 9.  HIDANO Kunio (00285090)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 10.  TAKAI Hiroshi (60110847)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 11.  SAKAI Makoto (70016129)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 12.  MURATA Minoru (50087079)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  JIMBO Shuichi (80201565)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 14.  TANAKA Kazunaga (20188288)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 15.  SHIBATA Tetsutaro (90216010)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 16.  YOSHITOMI Kazushi (40304729)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 17.  NAKAUCHI Nobumistu (50180237)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 18.  SATO Sadao (10170747)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 19.  SHIMURA Michio (90015868)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 20.  MOCHIZUKI Kiyoshi (80026773)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 21.  AKAHO Manabu (30332935)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  SHIMOMURA Akihiro (00365066)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  TOMIYAMA J (30006928)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  ISOZAKI Hiroshi (90111913)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  ISHII Hitoshi (70102887)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  大仁田 義裕 (90183764)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  中村 誠 (70312634)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  森本 宏明 (80166438)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  日合 文雄 (30092571)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  林 朗 (60240909)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  小澤 一文 (20100753)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  HIRATA M
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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