HIRATA Masaki 平田雅樹

… Alternative Names

平田雅樹ヒラタマサキ

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Researcher Number	70254141
Affiliation (Current)	2023: 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 Global analysis / Global analysis / General mathematics (including Probability theory/Statistical mathematics) Except Principal Investigator General mathematics (including Probability theory/Statistical mathematics) / Basic analysis / Global analysis / Basic analysis
Keywords	Principal Investigator カオス / 力学系 / 再帰時間 / 非線形現象 / カオス的力学系 / ポアソン法則 / ポアソン分布 / 固有値分布 / エルゴード理論 / 量子カオス … More Except Principal Investigator … More 重調和作用素 / 単極子 / カオス / 非線形現象 / The structural ends / Self adjoint boundary / The reflecting boundary / The killing boundary / The first hitting time / Dipole particle / Monopole particle / A biharmonic pseudo process / ランダム・ウォーク / 滞留壁 / 反射壁 / 解析的境界条件 / n階境界条件 / 高階境界条件 / Brown運動 / 多重極子 / 構造力学 / 境界条件 / BPP / 自由端 / スライド端 / 蝶番端 / 固定端 / 高次の反射壁 / 吸収壁 / 単極子と双極子 / 重調和擬過程 / Hele-Shaw flow / Quadrature domain / Free boundary problem / Potential theory / ヘレショウ流れ / ヘレンショウ流れ / 求積領域 / 自由境界問題 / ポテンシャル論 / spline approximation / numerical scheme / Hamiltonian dynamics / semi-discretization / collocation method / Toda equation / partial differential equation / wavelet / 雑音除去 / 運動ロボット / ルンゲークッタ / シュレーディンガー方程式 / エルゴード制御 / ランダム行列 / 差分スキーム / 数値解析 / 双曲型偏微分方程式 / 弱l^Pノルム / 分散なし戸田方程式 / ハミルトン力学系 / ウェイヴレット展開 / エネルギー保存差分スキーム / スプライン近似 / 数値計算スキーム / ハミルトン力学 / 半離散化 / 選点法 / 戸田方程式 / 偏微分方程式 / ウェイヴレット / reflecting boundary / sticky boundary / absorbing boundary / dipole / monopole / biharmonic operator / 確率解 / 4階非線形偏微分方程式 / Girsanovの公式 / 弱い意味での確率積分 / 無限次元力学系 / Poisson分布 / 安定点 / 数値解 / 4階偏微分方程式 / 双極子 / inverse / strong transversality / Axiom A / stability / Ginzbrug-Landau equation / media / non-equilibrium / SBR測度 / 双曲型測度 / 非双曲型 / キンズブルクグ-ランダウ方程式 / 逆極限 / 強横断性 / 公理A / 安定 / キンズブルグ-ランダウ方程式 / メディア / 非平衡 / prediction / dynamical system / manifold / sensitive / chaos / エルゴード / 半群 / 環 / 源点 / 沈点 / 現象 / 位相 / 微分可能 / 多様体 / 初期値鋭敏性 / 関数方程式の大域理論 / 多様体上の解析 / 非線形楕円型方程式 / ギンツブルグ・ランダウ方程式 / 熱核 / スペクトラルギャップ / 固有値 / 内在的超縮小性 / 放物型偏微分方程式 / 非線形シュレディンガー方程式 / 特異摂動問題 / コンパクト埋め込み / ギーラー・マインハルト系 / 非線形楕円型境界値問題 / コンパクト埋め込み定理 / ソボレフ空間 / 反応拡散系 / 非線形楕円型偏微分方程式 / 最適化問題 / 変分問題 / 非線形光学 / パターン形成 / 数理生態学 / 非可逆系 / 複雑系 / 周期アトラクター / 双曲型 / アトラクター / 力学系 / 境界値問題 / 回帰性 / 超関数 / 強マルコフ性 / first hitting place / first hitting time / マルコフ擬過程 Less

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

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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

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28. 森本宏明 (80166438)

# of Collaborated Projects: 1 results

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29. 日合文雄 (30092571)

# of Collaborated Projects: 1 results

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30. 林朗 (60240909)

# of Collaborated Projects: 1 results

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31. 小澤一文 (20100753)

# of Collaborated Projects: 1 results

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32. HIRATA M

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

HIRATA Masaki 平田 雅樹

平田 雅樹 ヒラタ マサキ

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Analysis of Chaotic Phenomena by the Hitting Time Distribution of Dynamical SystemsPrincipal Investigator

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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

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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

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[Journal Article] 到達時間分布と再会時間分布2010

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[Journal Article] On the "meeting time" distribution of Bernoulli shifts2010

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HIRATA Masaki 平田雅樹

平田雅樹ヒラタマサキ