TAKAHASHI Youichiro 高橋陽一郎

… Alternative Names

TAKAHASHI Yoichiro 高橋陽一郎

高橋陽一郎タカハシヨウイチロウ

TAKAHASHI Y. 高橋陽一郎

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Researcher Number	20033889
Other IDs
Affiliation (based on the past Project Information) *help	2010 – 2015: 東京大学, 生産技術研究所, 名誉教授 2010 – 2013: 東京大学, 名誉教授 2007 – 2009: Kyoto University, 数理解析研究所, 教授 1996 – 2003: Kyoto Univ., Institute for Mathematical Analysis, Prof., 数理解析研究所, 教授 1994: 東京大学, 大学院数理科学研究科, 教授 … More 1993: 東京大学, 大学院・数理科学研究科, 教授 1992: 東京大学, 数理科学研究科, 教授 1992: 東京大学大学院, 数理科学研究科, 教授 1990: Tokyo Univ., School of Education, Professor, 教養学部, 教授 1988: Faculty of General Education, University of Tokyo, Professor, 教養学部, 教授 1986 – 1988: 東京大学, 教養学部, 助教授 Less
Review Section/Research Field	Principal Investigator General mathematics (including Probability theory/Statistical mathematics) / Basic analysis / General mathematics (including Probability theory/Statistical mathematics) / Global analysis Except Principal Investigator General mathematics (including Probability theory/Statistical mathematics) / 解析学 / Geometry / 広領域 / Complex systems / General mathematics (including Probability theory/Statistical mathematics) / Basic analysis
Keywords	Principal Investigator 大偏差原理 / エントロピー / 点過程 / カオス / 流体力学的極限 / ランダム行列 / 漸近挙動 / 確率過程 / フェルミオン過程 / 関数力学系 … More / ウィーナー汎関数 / スペクトル / 平衡過程 / Wiener functional / Fredholm determinant / fermion point process / large deviation / stochastic process / ウイーナー汎関数 / 熱核 / フレドホルム行列式 / innovation problem and noises / random walk and Brownian motion / asymptotic behavior of spectrum / fractals / large deviation and entropies / Dirichlet form / Wieener functional / hydrodynamic limit / データ圧縮 / エルゴード性 / 確率解析 / 雑音の同型問題 / ブラウン運動と酔歩 / スペクトルの漸近挙動 / フラクタル / 大偏差原理とエントロピー / Dirichlet形式 / Wiener汎関数 / 流体力学極限 / classical quantum correspondence / point process / eigenvalue distirbution / singular perturbation / asymptotic theory / hydrodynamical limit / chaos / random matrix / 古典量子対応 / 固有値分布 / 特異摂動 / 漸近理論 / 臨界現象 / 容量 / 解の爆発 / マルコフ過程の急減少(カットオフ)現象 / 一般化 / ギブス測度 / カオスの伝播 / fermion(行列式)過程 / 一般化Fock空間 / Gibbs測度 / 点過程(確率点場) / ランダムな時間発展 / 非衝突ブラウン運動 / 行列式過程 / ポアソン測度 / フォック空間 / 雑音付き力学系 / コンパクト群の自己同型 / 無限の過去 / Tsirelson方程式 / 複雑系 / Nagumo-Sato写像 / 固定点集合 / アトラクタ / 区間力学 / 不動点集合 / 階層構造 / 自己参照系 / 簡約行列式 / コ-シ-の特異積分 / ラプラス型積分 / スケール極限 / 絶対連続性 / ディリクレ形式 / フォック空間表現 / 散乱距離 … More Except Principal Investigator フラクタル / 確率過程 / 拡散過程 / 熱核 / 数理物理 / 大偏差原理 / Wiener sausage / Besov space / Limit theorem / Heat kernel / ランダムウォーク / ベソフ空間 / 極限定理 / 内部観測 / 脳のダイナミクス / 飛躍型確率過程 / 確率論 / 確率解析 / 微分方程式 / Stochastic analysis / Ergodic theory / Diffusion process / Gaussian process / Stochastic process / Probability theory / ランダム媒質 / 数理物理と確率論 / デイリクレ空間 / マルコフ過程 / 時系列 / 正規過程 / 相転移 / エルゴード理論 / ガウス過程 / differential equations / special functions / Structure of groups / 保型形式 / 特殊函数 / 群の構造 / information theory / central limit theorem / non-standard analysis / correlation structure / statistic / parametric model / time series analysis / 動的システム / 情報理論 / 中心極限定理 / ノンスタンダードアナリシス / 相関構造 / 統計量 / パラメトリックモデル / 時系列解析 / Homogenization / Jump-type stochastic process / Parabolic Harnack inequality / Nash Inequality / Disordered media / 無限次元空間 / ソボレフ空間 / ホモジナイゼーション / 放物型ハルナック不等式 / ナッシュ不等式 / 複雑な系 / symmetric diffusion processes / law of the iterated logarithm / fractal / asymptotic behavior / large deviation / sample paths / Stochastic processes / range / 概不変原理 / 重複大数の法則 / 対称拡散過程 / 重複対数の法則 / Wieher sausage / 漸近挙動 / サンプルパス / Hausdorff dimension / Multi-fractal / Stochastic Process / Diffusion Process / Fractal / 固有値分布 / ハウスドルフ次元 / マルチフラクタル / ontological observation / natural number / molecular machine / n-category / indefiniteness / formal systems / emergency / complex systems / 翻訳システム / 様相論理 / 分散システム / 高次元圏論 / 内的集合論 / 形式化 / 複複系 / 動的認識子 / 関数マップ / ミルナーアトラクタ / 2元論 / 存在論的観測 / 自然数 / 分子機械 / 高次元圏 / 不定性 / 形式的体系 / 創発性 / 複雑系 / Chaotic dynamical systems / Internal observers / Logic-dynamics transformation / Category theory / Variational principle / Langevin equations / Chaotic Itinerancy / Coupled map lattices / Concurrent process / セル力学系 / 幾何学 / 結合写像格子 / 論理 / カオス的力学系 / 数理構造 / 論理-力学系変換 / カテゴリー論 / 非線形微分方程式論 / プログラム生態系 / 高次元カオス力学系 / Whisker / Levy Laplacian / Levy group / Rotation group / White Noise Analysis / ファインマン積分 / ディリクレ形式 / 超汎関数 / 場の量子論 / ホワイトノイズ解析 / 安定性 / 分岐 / 定常解 / Navier-Stokes方程式 / 非線型固有値問題 / 解の爆発 / 非線型拡散方程式 / 固有関数展開 / フーリエ積分作用素 / シュレーデンガー方程式 / 散乱問題 / スペクトル / 情報工学 / 脳神経科学 / カオス力学系 / 複雑系科学 / 発展型切り替え写像系 / ヘテロ結合力学系 / 幻覚の数理モデル / 海馬 / 視覚性幻覚 / 第二種自己組織化 / ランダム力学系 / ヘテロ力学系 / カオス的遍歴 / カナダ:アメリカ:フランス / カナダ:アメリカ:ドイツ / イギリス:ドイツ:ポーランド / 国際研究者交流 / 応用数学 / 解析学 / 日本数学会国際研究集会 / 数理解析研究所プロジェクト研究 / 伊藤解析 / 流体力学極限 / マリアヴァン解析 / Conpleteness / Many-body / Scattglng / ブール代数 / 離散的対象 / 変換の不変量 / 特殊関数 / 計算の複雑性 / 情報構造 / 有限幾何学 / 有限体 / 離散的体象 Less

Reconstruction of the theory of pont processes and Gibbs random fields and its application to equlibrium processes, fermion processes etc.Principal Investigator
- Principal Investigator
  
  Takahashi Yoichiro
- Project Period (FY)
  2010 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  The University of Tokyo
Generation of information in dynamic brain and the role of chaotic itinerancy
- Principal Investigator
  
  TSUDA Ichiro
- Project Period (FY)
  2009 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research on Innovative Areas (Research in a proposed research area)
- Review Section
  
  Complex systems
- Research Institution
  Hokkaido University
無限の過去を持つ時間発展と持たない時間発展Principal Investigator
- Principal Investigator
  
  高橋陽一郎
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kyoto University
Developments of the theory of stochastic processes and real analysis on disordered media
- Principal Investigator
  
  KUMAGAI Takashi
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kyoto University
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
  
  KUMAGAI Takashi
- Project Period (FY)
  2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto University
Aspects of large deviation principlesPrincipal Investigator
- Principal Investigator
  
  TAKAHASHI Youichiro
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kyoto University
カオス的遍歴の数学的構造Principal Investigator
- Principal Investigator
  
  高橋陽一郎
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Global analysis
- 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
Developments of Analysis on Fractals
- Principal Investigator
  
  HINO Masanod
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  KYOTO UNIVERSITY
Probability Theory and Its InterfacePrincipal Investigator
- Principal Investigator
  
  TAKAHASHI Youichiro
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  KYOTO UNIVERSITY
FORMAL APPROACH TO FOUNDATIONAL MATHEMATICAL STLTDIES OF COMPLEX SYSTEMS
- Principal Investigator
  
  TSUJISHITA Toru
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Hokkaido University
Mathematical problems related to quantum chaosPrincipal Investigator
- Principal Investigator
  
  TAKAHASHI Yoichiro
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  KYOTO UNIVERSITY
Experimental Mathematics for Constitution and Computation in Complex Systems
- Principal Investigator
  
  TSUDA Ichiro
- Project Period (FY)
  1995 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  広領域
- Research Institution
  Hokkaido University
ランダム行列のスペクトルとスケール極限Principal Investigator
- Principal Investigator
  
  高橋陽一郎
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  The University of Tokyo
数理物理学に現れる大偏差原理の研究Principal Investigator
- Principal Investigator
  
  高橋陽一郎
- 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
  The University of Tokyo
数学と離散的対象の研究
- Principal Investigator
  
  難波完爾
- Project Period (FY)
  1992 – 1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  The University of Tokyo
多体量子系の散乱理論
- Principal Investigator
  
  北田均
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  The University of Tokyo
Stochastic Analysis and Quantum Field Theory
- Principal Investigator
  
  HIDA Takeyuki
- Project Period (FY)
  1989 – 1990
- Research Category
  
  Grant-in-Aid for international Scientific Research
- Research Institution
  Nagoya University
数理物理学におけるスペクトル散乱問題の研究
- Principal Investigator
  
  谷島賢二
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  The University of Tokyo
物理学に現れる大偏差問題の研究Principal Investigator
- Principal Investigator
  
  高橋陽一郎
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  The University of Tokyo
Studies on Probability theory.
- Principal Investigator
  
  IKEDA Nobuyuki
- Project Period (FY)
  1987 – 1988
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Osaka University
Study on Statistical Inference in Time Series Analysis and Related Fields
- Principal Investigator
  
  HUZII M.
- Project Period (FY)
  1986 – 1987
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Tokyo Institute of Technology
Researches of group theory and its applications
- Principal Investigator
  
  SUGIURA Mitsuo
- Project Period (FY)
  1986 – 1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  The University of Tokyo

All 2014 2012 2011 2010 2009 Other

All Journal Article Presentation

[Journal Article] Information flow in heterogeneously interacting systems2014
- Author(s)
  Y. Yamaguti, I. Tsuda, Y. Takahashi
- Journal Title
  
  Cognitive Neurodynamics
  
  Volume: 8(1) Issue: 1 Pages: 17-26
- DOI
  10.1007/s11571-013-9259-8
- NAID
  120005540278
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-ORGANIZER-21120001, KAKENHI-PLANNED-21120002, KAKENHI-PROJECT-23500186, KAKENHI-PROJECT-26280093
[Journal Article] Construction of Possonian Fock space: a simple proof2010
- Author(s)
  Yoichiro Takahashi
- Journal Title
  
  Proc. Japan Acad. 80
  
  Pages: 60-63
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19654018
[Journal Article] Time evolution with and without remote past2009
- Author(s)
  Y. Takahashi
- Journal Title
  
  ASPM 53
  
  Pages: 347-361
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19654018
[Journal Article] Unitary matrices and random permutations : conjecture and degenerated Laplacian
- Author(s)
  Y.Takahashi
- Journal Title
  
  "Number-theoretic Functions and their Probablistic Aspects--2010 Kyoto", RIMS Kokyuroku Bessatsu 2012
  
  Volume: (未定)(掲載確定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540188
[Presentation] Apredictive model of theta phase shift during fixation inthehippocampus2014
- Author(s)
  西田洋司、高橋宗良、山口裕、津田一郎、ローレンス・ヨハン
- Organizer
  第30回日本脳電磁図トポグラフィ研究会
- Place of Presentation
  福岡山王ホール(福岡県)
- Data Source
  KAKENHI-PLANNED-21120002
[Presentation] A predictive model of theta phase shift during fixation in the hippocampus2014
- Author(s)
  西田洋司、高橋宗良、山口裕、津田一郎、ローレンス・ヨハン
- Organizer
  第30回日本脳電磁図トポグラフィ研究会
- Place of Presentation
  福岡山王ホール(福岡県）
- Data Source
  KAKENHI-PLANNED-21120002
[Presentation] カオスの伝播とカット・オフ：エーレンフェスト模型の場合2012
- Author(s)
  高橋陽一郎
- Organizer
  数理解析研究所研究集会: 確率論シンポジウム
- Place of Presentation
  京都
- Invited
- Data Source
  KAKENHI-PROJECT-22540188
[Presentation] カオスの伝播とカット・オフ現象2012
- Author(s)
  高橋陽一郎
- Organizer
  研究集会「無限粒子系、確率場の諸問題VIII」
- Place of Presentation
  奈良市
- Invited
- Data Source
  KAKENHI-PROJECT-22540188
[Presentation] ヘテロ相互作用系における情報伝達構造2011
- Author(s)
  山口裕、津田一郎、高橋陽一郎
- Organizer
  国際高等研究所研究プロジェクト「諸科学の共通言語としての数学の発掘と数理科学への展開」2011年度第2回研究会
- Place of Presentation
  国際高等研究所(京都府木津川市)(口頭発表)
- Data Source
  KAKENHI-PLANNED-21120002
[Presentation] Information Theoretic Approach to Dynamical Systems of Heterogeneously Interacting Chaotic Oscillators2011
- Author(s)
  Y. Yamaguti, I. Tsuda, and Y. Takahashi
- Organizer
  9th International Conference on Numerical Analysis and Applied Mathematics
- Place of Presentation
  G-Hotels, (Halkidiki, Greece)
- Invited
- Data Source
  KAKENHI-PLANNED-21120002
[Presentation] Does a unitary matrix determines a random permutation?2011
- Author(s)
  Y.Takahashi
- Organizer
  Control and Noise in Dynamical Systems (Part 2)
- Place of Presentation
  Sapporo, Japan(招待講演)
- Year and Date
  2011-08-25
- Data Source
  KAKENHI-PROJECT-22540188
[Presentation] Unitary matrices and probability2010
- Author(s)
  Yoichiro Takahashi
- Organizer
  The international conference Functions in Number Theory and Their Probabilistic Aspects
- Place of Presentation
  Kyoto University, Kyoto, Japan
- Year and Date
  2010-12-13
- Data Source
  KAKENHI-PROJECT-22540188

1. KUMAGAI Takashi (90234509)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
2. SHIGEKAWA Ichiro (00127234)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
3. HINO Masanori (40303888)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
4. FUNAKI Tadahisa (60112174)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
5. 谷島賢二 (80011758)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
6. WATANABE Shinzo (90025297)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
7. MATSUMOTO Hiroyuki (00190538)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
8. KIGAMI Jun (90202035)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
9. TSUDA Ichiro (10207384)

# of Collaborated Projects: 3 results

# of Collaborated Products: 5 results
10. OKAMOTO Hisashi (40143359)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
11. KUSUOKA Shigeo (00114463)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
12. 北田均 (40114459)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
13. TSUJISHITA Tohru (10107063)

# of Collaborated Projects: 2 results

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14. SHIMIZU Hideo (00012336)

# of Collaborated Projects: 2 results

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15. OKAMOTO Kazuo (40011720)

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16. TAKEDA Masayoshi (30179650)

# of Collaborated Projects: 2 results

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17. AOYAGI Toshio (90252486)

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18. WATANABE Hisao (40037677)

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19. FUKUSHIMA Masatoshi (90015503)

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20. KANEKO Kunihiko (30177513)

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21. 菊地文雄 (40013734)

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22. 金子晃 (30011654)

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23. 折原明夫 (10012337)

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24. 服部久美子 (80231520)

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25. 杉田洋 (50192125)

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26. 伊藤達夫 (20151516)

# of Collaborated Projects: 2 results

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27. 樋口保成 (60112075)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
28. AIKAWA Hiroaki (20137889)

# of Collaborated Projects: 1 results

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29. KOTANI Motoko (50230024)

# of Collaborated Projects: 1 results

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30. FUJII Hiroshi (90065839)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
31. YAMAGUTI Yutaka (80507236)

# of Collaborated Projects: 1 results

# of Collaborated Products: 4 results
32. HIDA Takeyuki (90022508)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
33. OBATA Nobuaki (10169360)

# of Collaborated Projects: 1 results

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34. SATO Ken-iti (60015500)

# of Collaborated Projects: 1 results

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35. OKABE Yasunori (30028211)

# of Collaborated Projects: 1 results

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36. NISHIURA Yasumasa (00131277)

# of Collaborated Projects: 1 results

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37. OHKITANI Koji (70211787)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
38. TAKEI Yoshitsugu (00212019)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
39. KAWAI Takahiro (20027379)

# of Collaborated Projects: 1 results

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40. MUROTA Kazuo (50134466)

# of Collaborated Projects: 1 results

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41. TANIGUCHI Setsuo (70155208)

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TAKAHASHI Youichiro 高橋 陽一郎

TAKAHASHI Yoichiro 高橋 陽一郎

高橋 陽一郎 タカハシ ヨウイチロウ

TAKAHASHI Y. 高橋 陽一郎

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Reconstruction of the theory of pont processes and Gibbs random fields and its application to equlibrium processes, fermion processes etc.Principal Investigator

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無限の過去を持つ時間発展と持たない時間発展Principal Investigator

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Aspects of large deviation principlesPrincipal Investigator

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カオス的遍歴の数学的構造Principal Investigator

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Probability Theory and Its InterfacePrincipal Investigator

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Mathematical problems related to quantum chaosPrincipal Investigator

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TAKAHASHI Youichiro 高橋陽一郎

TAKAHASHI Yoichiro 高橋陽一郎

高橋陽一郎タカハシヨウイチロウ

TAKAHASHI Y. 高橋陽一郎