SHIGA Tokuzo 志賀徳造

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志賀徳造

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Researcher Number	60025418
Other IDs
Affiliation (based on the past Project Information) *help	2006: Tokyo Institute of Technology, Graduate School of Science and Technology, Professor, 大学院理工学研究科, 教授 1998 – 2006: Graduate School of Science and Technology, Tokyo Institute of Technology, Professor, 大学院・理工学研究科, 教授 2002: 東京大学, 大学院・理工学研究科, 教授 1992 – 1997: 東京工業大学, 理学部, 教授 1988 – 1990: 東京工業大学, 理学部, 教授 1986: 東京工業大学, 理学部, 助教授
Review Section/Research Field	Principal Investigator General mathematics (including Probability theory/Statistical mathematics) / General mathematics (including Probability theory/Statistical mathematics) Except Principal Investigator General mathematics (including Probability theory/Statistical mathematics) / 解析学 / Basic analysis
Keywords	Principal Investigator ランダムウォーク / 相互作用のある拡散系 / 標本リアプノフ指数 / 無限次元拡散モデル / Lyapunov exponent / Levy-Ito representation / Levy-Khinchin formula / random environment / リヤプノフ指数 / Strong Disorder … More / 条件付極限定理 / フレミング・ヴィオ過程 / エルゴード理論 / 測度値拡散過程 / ランダム環境下のランダムウォーク / ブラウン運動 / 流体力学極限 / 確率偏微分方程式 / random distribution / Levy noise / Parabolic Anderson model / ランダムスペクトラム / ランダムなシュレーディンガー作用素 / フェルミオン・ボゾン確率場 / 安定ランダム確率分布 / ランダム媒質 / Levy-Ito表現 / Levy-Khinchin公式 / parabolic Anderson model / infinitely divisible / random probability distribution / レヴィー・伊藤表現 / レヴィー・キンチン公式 / ランダム確率分布 / ランダム環境 / レヴィー・のいず7 / 方物型アンダーソン模型 / Critical Phenomena / Fermion Random Field / Anderson Localization / Bessel meander / フェルミオンランダム場 / Strong disorder / 向きをもつポリマーモデル / 臨界現象 / フェルミオン確率場 / アンダーソン局在 / 向きを持つポリマーモデル / リアプノフ指数 / 方物型アンダーソンモデル / random potential / interacting diffusion / time reversibility / Fleming-Viot process / measure-valued diffusion / 1次元拡散過程 / 測度値確立過程 / ランダムポテンシャル / 相互作用のある拡散過程 / 時間可逆性 / directed polymer model / random walk in random environment / stochastic partial differential equation / time-reversibility / unbounded selection / genetical model / Flemig-Viot process / infinite dimensional diffusion / マルチンゲール / ランダムポリマーモデル / 分数冪モーメント / 可逆定常分布 / ランダム高分子モデル / 時間的可逆性 / 自然選択 / 集団遺伝学モデル / Mathematical Biology / Mathematical Physics / Hydrodynamical Limit / Infinite Particle Systems / Ergodic Theory / Markov Processes / Stochastic Analysis / Probability / ウィーナー空間 / 多様体 / フラクタル / 大偏差原理 / 数理生物 / 数理物理 / 無限粒子系 / マルコフ過程 / 確率解析 / 確率論 / ARIMAモデル / 汎函数微分方程式 / NLKG方程式 / 相互作用のある多粒子系 / 無限次元マルコフ過程 / 拡散方程式 / マルコフ多粒子系 / 無限次元線形マルコフ系 / 定常分布問題 / 流体力学的極限 / 無限次元拡散過程 / 測定値分枝過程 / 集団遺伝学確率モデル … More Except Principal Investigator ランダム媒質 / critical phenomena / percolation / 臨界点 / 臨界現象 / パーコレーション / Stochastic analysis / 確率解析 / 拡散過程 / 流体力学極限 / マルコフ過程 / 時系列解析 / 確率過程 / Random media / Large scale interacting system / Free boundary problem / Brownian paricles' system / Stochastic differential equation / Hydrodynamic limit / Interface model / ランダム行列 / 非交叉ランダムウォーク / Anderson模型 / 大規模相互作用系 / 自由境界問題 / ブラウン粒子系 / 確率偏微分方程式 / 界面模型 / critical dimension / two-point function / hierarchical model / Ising model / renormalization group / self-avoiding walk / 特性関数 / ランダムクラスターモデル / 臨界次元 / 2点関数 / 階層モデル / イジングモデル / くりこみ群 / 自己回避ランダムウォーク / integrated super-Brownian excursion / infinite cluster / scaling limit / continuum limit / critical point / lace expansion / ISE / incipient infinite cluster / Integrated super-Brownian excursion / 無限クラスター / スケーリング極限 / 連続極限 / Martin boundary / perturbation theory / fundamental solution / uniqueness / Cauchy problem / positive solution / elliptic PDE / parabolic PDE / ポテンシャル論 / 歪積 / 楕円型方程式 / 放物型方程式 / 楕円形偏微分方程式 / Martin境界 / 摂動論 / 基本解 / 一意性 / 初期値問題 / 正値解 / 楕円型偏微分方程式 / 放物型偏微分方程式 / thermodynamic formalism / ergodic theory / mapping class group / geodesic flow / 閉測地線 / 熱力学形式 / エルゴード理論 / 写像類群 / 測地流 / Stochastic control / Schrodinger operator / Ergodic theory / Gaussian process / Random environment / Limit theorems / Markov process / ガウス型通信路 / マリアバン演算法 / 加法過程 / 中心極限定理 / 測度値分枝過程 / 多粒子系マルコフ過程 / 抽象ウィ-ナ-空間 / 無限次元解析 / 確率制御 / シュレディンガ-作用素 / エルゴ-ド理論 / ガウス過程 / 極限定理 / 待ち行列 / ポアソン分布 / 尤度関数 / 移動平均モデル / 自己回帰モデル / concentration compactness / 非線型Schrodinger方程式 / superanalysis / BGK模型 / 鞍部点法 / Feynman積分 / Hopf方程式 / 汎関数微分 / 非平衡現象 / ギブス測度 / 非線型拡散方程式 / 局所平衡 / エントロピ- / 予測 / 非定常過程 / グリ-ン関数 / スペクトル / 領域摂動 Less

ASYMPTOTICAL ANALYSIS FOR EXPONENTIAL FUNCTIONALS IN INFINITE DIMENSIONAL STOCHASTIC MODELSPrincipal Investigator
- Principal Investigator
  
  SHIGA Tokuzo
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Tokyo Institute of Technology
Probabilistic Research of Large Scale Interacting Systems
- Principal Investigator
  
  FUNAKI Tadahisa
- Project Period (FY)
  2002 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  The University of Tokyo
MATEMATICAL ANALYSIS OF INFINITE DIMENSIONAL STOCHASTIC MODELSPrincipal Investigator
- Principal Investigator
  
  SHIGA Tokuzo
- 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 Institute of Technology
Study of critical phenomena by lace expansion and renormalization group
- Principal Investigator
  
  HARA Takashi
- 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
  Nagoya University
A versatile study of positive solutions to parabolic and elliptic partial differential equations
- Principal Investigator
  
  MURATA Minoru
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  Basic analysis
- Research Institution
  Tokyo Institute of Technology
Analysis of Infinite-dimensional Markovian ModelsPrincipal Investigator
- Principal Investigator
  
  SHIGA Tokuzo
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Tokyo Institute of Technology
Mathematical Study of Critical Phenomena for Statistical Models in Probability
- Principal Investigator
  
  HARA Takashi
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Nagoya University
  Tokyo Institute of Technology
Ergodic theoretical approach to classical dynamical systems appearing in probability theory and complex analysis
- Principal Investigator
  
  MORITA Takehiko
- 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 Institute of Technology
Mathematical Analysis of Infinite Dimensional Stochastic ModelsPrincipal Investigator
- Principal Investigator
  
  SHIGA Tokuzo
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  TOKYO INSTITUTE OF TECHNOLOGY
数理物理・数理生物のモデルに関する確率解析Principal Investigator
- Principal Investigator
  
  志賀徳造
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Tokyo Institute of Technology
無限次元拡散モデルの解析Principal Investigator
- Principal Investigator
  
  志賀徳造
- 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 Institute of Technology
CO-OPERATIVE RESEARCH ON PROBABILITY THEORYPrincipal Investigator
- Principal Investigator
  
  SHIGA Tokuzo
- Project Period (FY)
  1994
- 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
汎関数空間上の関数解析学
- Principal Investigator
  
  井上淳
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  Tokyo Institute of Technology
マルコフ過程論とその生物・物理モデルへの応用Principal Investigator
- Principal Investigator
  
  志賀徳造
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Tokyo Institute of Technology
統計力学における確率論的モデルの数理解析
- Principal Investigator
  
  UCHIYAMA Kohei
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Tokyo Institute of Technology
領域摂動法による固有値問題の研究
- Principal Investigator
  
  小澤真
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tokyo Institute of Technology
確率過程の推測理論の数学的研究
- Principal Investigator
  
  藤井光昭
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Tokyo Institute of Technology
Comprehensive Study of Probability Theory
- Principal Investigator
  
  KUNITA Hiroshi
- Project Period (FY)
  1989 – 1990
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kyushu University
無限次元マルコフ過程の研究Principal Investigator
- Principal Investigator
  
  志賀徳造
- 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
  Tokyo Institute of Technology
確率過程のモデルと推測理論の研究
- Principal Investigator
  
  藤井光昭
- 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
  Tokyo Institute of Technology

All 2006 2005 2004 2003 2002

All Journal Article Book

[Book] Stochastic processes, Selected papers of Hiroshi Tanaka.2002
- Author(s)
  M.Maejima, T.Shiga(editors)
- Publisher
  World Scientific Publishing Co., Inc., River Edge, NJ
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340029
[Book] Stochastic processes, Selected papers of Hiroshi Tanaka.2002
- Author(s)
  M.Maejima, T.Shiga
- Publisher
  World Scientific Publishing Co.
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340029
[Journal Article] Infinitely divisible random probability distributions with an application to a random motion in a random environment.2006
- Author(s)
  T.Shiga, H.Tanaka
- Journal Title
  
  Electronic Journal of Probability 11
  
  Pages: 1144-1183
- Data Source
  KAKENHI-PROJECT-16540097
[Journal Article] Infinitely divisible random probability distributions with application to a random motion in a random environment2006
- Author(s)
  T.Shiga, H.Tanaka
- Journal Title
  
  Electronic Journal of Probability 11
  
  Pages: 1144-1183
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540097
[Journal Article] Lyapunov exponent of parabolic Anderson model with Levy noise2005
- Author(s)
  M.Cranston, T.Mountford, T.Shiga
- Journal Title
  
  Probability Theory and Related Fields (掲載予定)
- Data Source
  KAKENHI-PROJECT-16540097
[Journal Article] Lyapunov exponents for the parabolic Anderson model with Levy noise2005
- Author(s)
  M.Cranston, T.Mountford, T.Shiga
- Journal Title
  
  Probability Theory and Related Fields 132
  
  Pages: 321-355
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540097
[Journal Article] Lyapunov exponents for theparabolic Anderson model with Levy noise2005
- Author(s)
  M.Cranston, T.Mountford, T.Shiga
- Journal Title
  
  Probability Theory and Related Fields 132
  
  Pages: 331-355
- Data Source
  KAKENHI-PROJECT-16540097
[Journal Article] Lyapunov exponents for the parabolic Anderson model with Levy noise.2005
- Author(s)
  M.Cranston (T.Shiga)
- Journal Title
  
  Probab.Theory Relat.Fields 132
  
  Pages: 331-355
- Data Source
  KAKENHI-PROJECT-14340029
[Journal Article] Lyapunov exponents for the parabolic Anderson model with Levy noise, Probability2005
- Author(s)
  M.Cranston, T.Mountford, T.Shiga
- Journal Title
  
  Theory and Related Fields 132
  
  Pages: 321-355
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540097
[Journal Article] Lyapunov exponents for the parabolic Anderson model with Levy noise.2005
- Author(s)
  M.Cranston, T.S.Mountford, T.Shiga
- Journal Title
  
  Probab.Theory Pelat.Fields 132
  
  Pages: 331-355
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340029
[Journal Article] Lyapunov exponents for the parabolic Anderson model with Levy noise.2005
- Author(s)
  M.Cranston, (T.Shiga)
- Journal Title
  
  Probab. Theory Relat. Fields 132
  
  Pages: 331-355
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340029
[Journal Article] Probabilistic analysis of directed polymers in a random environment : a review. Stochastic analysis on large scale interacting systems2004
- Author(s)
  F.Comets, T.Shiga, N.Yoshida
- Journal Title
  
  Advanced Studies in Pure Mathematics 39
  
  Pages: 331-355
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540097
[Journal Article] Probabilistic analysis of directed polymers in random environment : a review.2004
- Author(s)
  F.Comets, (T.Shiga, N.Yoshida)
- Journal Title
  
  Advanced Studies in Pure Mathematics 39
  
  Pages: 115-142
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340029
[Journal Article] Probabilistic Analysis of Directed Polymers in a random environment : a review2004
- Author(s)
  F.Comets, T.Shiga, N.Yoshida
- Journal Title
  
  Advanced Studies in Pure Mathematics 39
  
  Pages: 115-142
- Data Source
  KAKENHI-PROJECT-16540097
[Journal Article] Probabilistic analysis of directed polymers in a radom environment : a review. Stochastic analysis on large scale interacting systems2004
- Author(s)
  F.Comets, T.Shiga, N.Yoshida
- Journal Title
  
  Advanced Studies in Pure Mathematics 39
  
  Pages: 331-355
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540097
[Journal Article] Probabilistic analysis of directed polymers in random environment : a review.2004
- Author(s)
  F.Comets, T.Shiga, N.Yoshida
- Journal Title
  
  Advanced Studies in Pure Mathematics 39
  
  Pages: 115-142
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340029
[Journal Article] Probabilistic analysis of directed polymers in a random environment : a review2004
- Author(s)
  F.Comets (T.Shiga, N.Yoshida)
- Journal Title
  
  Adv.Stud.Pure Math.(Math.Soc.Japan) 39
  
  Pages: 115-142
- Data Source
  KAKENHI-PROJECT-14340029
[Journal Article] A conditional limit theorem for generalized diffusion processes.2003
- Author(s)
  Z.Li, T.Shiga, M.Tomisaki
- Journal Title
  
  J.Math.Kyoto Univ. 43
  
  Pages: 567-583
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340029
[Journal Article] Directed polymers in random environment : path localization and strong disorder.2003
- Author(s)
  F.Comets, T.Shiga, N.Yoshida
- Journal Title
  
  Bernoulli 9
  
  Pages: 705-723
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340029
[Journal Article] Directed polymers in random environment : path localization and strong disorder.2003
- Author(s)
  F.Comets, (T.Shiga, N.Yoshida)
- Journal Title
  
  Bernoulli 9
  
  Pages: 705-723
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340029
[Journal Article] A conditional limit theorem for generalized diffusion processes.2003
- Author(s)
  Z._Li, (T._Shiga)
- Journal Title
  
  J. Math. Kyoto Univ. 43
  
  Pages: 567-583
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340029
[Journal Article] Lyapunov exponents for the parabolic Anderson model.2002
- Author(s)
  M.Cranston, (T.Shiga)
- Journal Title
  
  Acta Math. Univ. Comenian. 71
  
  Pages: 163-188
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340029
[Journal Article] A Fleming-Viot process with unbounded selection. II.2002
- Author(s)
  S.N.Ethier, (T.Shiga)
- Journal Title
  
  Markov processes and controlled lVlarkov chains
  
  Pages: 305-322
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340029
[Journal Article] A Fleming-Viot process with unbounded selection. II.2002
- Author(s)
  S.N.Ethier, T.Shiga
- Journal Title
  
  Markov process and controlled Markov chains(Kluwer Acad.Publ.)
  
  Pages: 305-322
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340029
[Journal Article] Lyapunov exponents for the parabolic Anderson model.2002
- Author(s)
  M.Cranston, T.S.Mountford, T.Shiga
- Journal Title
  
  Acta Math.Univ.Comenian. 71
  
  Pages: 163-188
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340029

1. UCHIYAMA Kohei (00117566)

# of Collaborated Projects: 8 results

# of Collaborated Products: 0 results
2. MORITA Takehiko (00192782)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
3. MURATA Minoru (50087079)

# of Collaborated Projects: 4 results

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4. SHIRAI Tomoyuki (70302932)

# of Collaborated Projects: 4 results

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5. SUMI Hiroki (40313324)

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6. 藤井光昭 (70016343)

# of Collaborated Projects: 4 results

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7. 高橋渉 (40016142)

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8. TAKAOKA Koichiro (50272662)

# of Collaborated Projects: 3 results

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9. NINOMIYA Hirokazu (90251610)

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10. SHIGA Hiroshige (10154189)

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11. HARA Takashi (20228620)

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12. NOMURA Yuji (40282818)

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13. 鵜飼正二 (30047170)

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14. KOTANI Shinichi (10025463)

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15. 小澤真 (00126020)

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16. OGURA Yukio (00037847)

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17. HATTORI Tetsuya (10180902)

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18. 岡睦雄 (40011697)

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19. 井上淳 (40011613)

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20. 森村英典 (50016010)

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21. KUNITA Hiroshi (30022552)

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22. ITO Yuuji (90112987)

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23. WATANABE Sinzo (90025297)

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24. NAGAI Hideo (70110848)

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25. KUBO Izumi (70022621)

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26. TANIGUCHI Masaharu (30260623)

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27. NAKADA Hitoshi (40118980)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
28. KURATA Kazuhiro (10186489)

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
30. ISHIGE Kazuhiro (90272020)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
31. MINAMI Nariyuki (10183964)

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
33. HIGUCHI Yasunari (60112075)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
34. OSADA Hirofumi (20177207)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
35. TANEMURA Hideki (40217162)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
36. YOSHIDA Nobuo (40240303)

# of Collaborated Projects: 1 results

# of Collaborated Products: 5 results
37. HAMANA Yuji (00243923)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
38. INAHAMA Yuzuru (80431998)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
39. 福田拓生 (00009599)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
40. 丹野修吉 (10004293)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
41. 吹田信之 (90016022)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
42. 茂野洋志 (00215964)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
43. 寳来正子 (00015588)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
44. 小島定吉 (90117705)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
45. 植村英明 (30203483)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
46. 西本敏彦 (60016061)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
47. 三上敏雄 (70229657)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
48. 柳田英二 (80174548)

# of Collaborated Projects: 1 results

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49. 河村一知 (00016057)

# of Collaborated Projects: 1 results

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50. 本尾実 (60015469)

# of Collaborated Projects: 1 results

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51. 内藤幸一郎 (10164104)

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52. 土谷正明 (50016101)

# of Collaborated Projects: 1 results

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53. 田中洋 (70011468)

# of Collaborated Projects: 1 results

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54. 河野敬雄 (90028134)

# of Collaborated Projects: 1 results

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55. 竹田雅好 (30179650)

# of Collaborated Projects: 1 results

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56. 松本裕行 (00190538)

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57. 伊藤秀一 (90159905)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
58. 渡辺浩 (70210987)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

SHIGA Tokuzo 志賀 徳造

志賀 徳造

Research Projects

Research Products

Co-Researchers

ASYMPTOTICAL ANALYSIS FOR EXPONENTIAL FUNCTIONALS IN INFINITE DIMENSIONAL STOCHASTIC MODELSPrincipal Investigator

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MATEMATICAL ANALYSIS OF INFINITE DIMENSIONAL STOCHASTIC MODELSPrincipal Investigator

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Analysis of Infinite-dimensional Markovian ModelsPrincipal Investigator

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Mathematical Analysis of Infinite Dimensional Stochastic ModelsPrincipal Investigator

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数理物理・数理生物のモデルに関する確率解析Principal Investigator

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無限次元拡散モデルの解析Principal Investigator

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CO-OPERATIVE RESEARCH ON PROBABILITY THEORYPrincipal Investigator

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マルコフ過程論とその生物・物理モデルへの応用Principal Investigator

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SHIGA Tokuzo 志賀徳造

志賀徳造