TANAKA Hiroshi 田中洋

Researcher Number	70011468
Affiliation (based on the past Project Information) *help	2011: 慶應義塾大学, 理工学部, 名誉教授 2007: Keio Univ., Faculty of Science and Technology, Emeritus Professor 2005 – 2006: 慶應義塾大学, 名誉教授 1998 – 2000: 日本女子大学, 理学部, 教授 1996: Keio Univ., Sci.& Tech., Professor, 理工学部, 教授 … More 1992 – 1996: 慶應義塾大学, 理工学部, 教授 1991: 慶応大学, 理工学部, 教授 1991: Keio University Professor, 理工学部, 教授 1991: 慶應義塾大学, 理工学部・数理科学科, 教授 1990: 慶應大学, 理工学部, 教授 1988 – 1989: 慶応義塾大学, 理工学部, 教授 1987 – 1988: 慶應義塾大学, 理工学部, 教授 1986: 慶応大, 理工学部, 教授 Less
Review Section/Research Field	Principal Investigator General mathematics (including Probability theory/Statistical mathematics) / 解析学 Except Principal Investigator General mathematics (including Probability theory/Statistical mathematics) / 解析学 / General mathematics (including Probability theory/Statistical mathematics) / 代数学・幾何学 / Geometry
Keywords	Principal Investigator 拡散過程 / ブラウン運動 / ランダム媒質 / 自己相似過程 / 自由境界問題 / Diffusion Process / Brownian Motion / 多粒子系モデル / スコロホード方程式 / カオスの伝播 … More / Isingモデル / Brownian Sheet / 自然拡大 / 測地線流 / ディオファンタス近似 / 複素連分数展開 / オペレーター安定過程 / II_∞,III型のエルゴード的変換 / 調和写像 / モース・フロー / 無限次元Lie環 / オヘレーター安定過程 / II∞、III型のエルゴード的変換 / 調和写像とモース・フロー / ポアンカレ・バーコフ・ウイットの定理 / ナビエ・ストークス方程式 / trimmed sum / Random Environment / Operator-stable Process / Ergodic Transformation of Type II& III / Harmonic Map / Morse-flow / Infinite Dimensional Lie Algebra / オペレーター自己相似過程 / 極限定理 / 群作用の剛性 / 超越数 / エルゴード的変換 / 大偏差原理 / ホワイトノイズ媒質 / 流体力学極限 / ナビェ・ストークス方程式 / Operator-Self-Similar Process / Limit Theorem / Rigidity of Group Actions / Transcendental Number / Ergodic Transformation / Large Deviation / ブラウンポテンシャル / レヴィ過程 / 従属操作 / 多次元timeのブラウン運動 / マルコフ過程 / 極限分布 / レヴィ測度 / Brownian motion / Diffusion process / Random environment / Brownian potential / Levy process / Self-similar process / Subordination / Brownian motion with multi-dimensional time … More Except Principal Investigator ランダム媒質 / 大偏差原理 / フラクタル / 自己相似過程 / ラプラス近似 / 非対称マルコフ過程 / 拡散過程 / II_∞型エルゴード変換 / 安定過程 / 調和写像 / exhaustive weakly wandering seq. / Zの直和分解 / 多重再帰性 / カレント / 測地流 / マルコフ過程 / Markov process / フラクタル分布 / フラクタル次元 / フラクタル領域 / ランダム媒質中のランダム・ウォ-ク / 非弾性体衝突 / タイリング / harmonic measure / ハルナックの不等式 / k不変関数 / wavelet / 不確定性関係 / consistent history解釈 / Ising model / Large derivation principle / 安定分布 / レビー過程 / 作用素の補間理論 / ブラウン運動 / 非線形放物型方程式 / 常微分方程式とWKB法 / 粘性、圧縮流体 / 同時測定論 / 不確定性原理 / 変形量子化 / ヤングミルズ接続 / 極小オ-ビット / フーリエ変換 / モ-ス流 / 非線型偏微分方程式 / 非可換多様体 / 無限次元Lie代数 / Nonlinear Analysis / ナヴィエ・ストークス方程式 / 渦糸方程式 / 表面張力 / 勾配流 / 自己相似確率過程 / 強従属性 / III型エルゴード変換 / p進数体Z_pの直和分解 / Bratteli compactum / Vershik変換 / 確率論 / 漸近挙動 / 再帰性 / 確率過程 / 国際研究者交流 / ドイツ / 埋入定理 / 負曲率多様体 / 共形不変量 / 確率微分方程式 / ボルツマン方程式 / 自己相似性 / 保測変換 / nonlinear analysis / (compressibla,incompressible)Navier-Stokes equations / free boundary problem / slip boundary problem / Campanoto type estimates / flow-spines and Seifert fibered structure / σー有限不変測度 / 有限型変換 / 直和分解 / ディオファントス近似 / 自然拡大 / Pitmanの定理 / 自己相似安定過程 / domain of attraction / 正規数 / Yang-Mills汎関数 / グラディエントの流れ / 確率解析 / 極限定理 / ガウス過程 / エルゴ-ド理論 / シュレディンガ-作用素 / 確率制御 / 無限次元解析 / 抽象ウィ-ナ-空間 / 多粒子系マルコフ過程 / 測度値分枝過程 / 中心極限定理 / 加法過程 / マリアバン演算法 / ガウス型通信路 / Stochastic analysis / Limit theorems / Random environment / Gaussian process / Ergodic theory / Schrodinger operator / Stochastic control / ヤングミルズ場 / 変分問題の安定性 / 作用素環 / セルフシミラリティ- / 結び目理論 / Yang-Mills fields / Harmonic maps / stability for the variational problem / operator algebra / self-similarity / fractals / knot theory / II∞型及びIII型エルゴード的変換 / ラドン.ニコディム・コサイクル / 整数集合Zの直和分解 / exhanstive weably wandering seq / 多重再帰定理 / cntting and stacking構成法 / 符号別のComplexity / 剛性定理 / II_∞型及びIII型エルゴード変換 / ラドン・ニコディム・コサイクル / cutting and stacking構成法 / 符号列のComplexity / Gauss数体上の連分数近似 / 3次元ビリヤードの符号列 / 量子的エルゴード性 / ブラウン媒質内の拡散過程 / 局所誘導方程式 / type II^ & III transformations / Radon-Nikodym cocycles / exhaustive weakly wandering sequences / direct sum decompostion of 2 / multiple recurrence / Kakutani-Parry index / cutting and stacking method / complexity of sequences / ランダム触質 / large deviation / Laplace approximation / random environment / Large Deviation Principle / Current / Random Media Less

On asymptotic behaviors of stochastic processes in random environments and properties of random environments
- Principal Investigator
  
  TAMURA Yozo
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Keio University
Large Deviation and Random Media
- Principal Investigator
  
  TAMURA Yozo
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Keio University
Research on Diffusion Processes in Random EnvironmentsPrincipal Investigator
- Principal Investigator
  
  TANAKA Hiroshi
- 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
  Japan Women's University
Laplace approximations and related limit theorems
- Principal Investigator
  
  TAMURA Yozo
- 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
  Keio University
有限不変測度を持たないエルゴード変換の性質と関連する諸問題への応用の研究
- Principal Investigator
  
  伊藤雄二
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Keio University
大偏差原理とその応用
- Principal Investigator
  
  田村要造
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Keio University
非線型解析学における諸問題の研究
- Principal Investigator
  
  谷温之
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Keio University
自己相似確率過程の研究
- Principal Investigator
  
  前島信
- 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
  Keio University
Research on Probability and Related Topics of AnalysisPrincipal Investigator
- Principal Investigator
  
  TANAKA Hiroshi
- Project Period (FY)
  1995 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Keio University
無限次元と非可換な幾何学について
- Principal Investigator
  
  前田吉昭
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Keio University
極限定理と大偏差原理に関する研究
- Principal Investigator
  
  田村要造
- 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
  Keio University
Research on ergodic theory and its applications
- Principal Investigator
  
  ITO Yuji
- Project Period (FY)
  1994 – 1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Keio University
調和解析および関連した諸問題の研究
- Principal Investigator
  
  小泉澄之
- Project Period (FY)
  1993 – 1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Keio University
安定過程の研究
- Principal Investigator
  
  前島信
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Institution
  Keio University
Research on Probability Theory and Related Problems of AnalysisPrincipal Investigator
- Principal Investigator
  
  TANAKA Hiroshi
- 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
  Keio University
調和解析とその応用に関する諸問題の研究
- Principal Investigator
  
  石川史郎
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Keio University
Problems in the Global analysis
- Principal Investigator
  
  OBATA Morio
- Project Period (FY)
  1990 – 1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  代数学・幾何学
- Research Institution
  Keio University
フラクタルおよび関連する諸問題の研究
- Principal Investigator
  
  MAEJIMA Makoto
- 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
  Keio University
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
非線型解析学
- Principal Investigator
  
  谷温之
- Project Period (FY)
  1988 – 1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Keio University
エルゴード変換の分類問題と関連する諸問題の研究
- Principal Investigator
  
  伊藤雄二
- Project Period (FY)
  1988 – 1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Keio University
大域解析学と微分幾何学的構造
- Principal Investigator
  
  小畠守生
- Project Period (FY)
  1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Keio University
エルゴード変換の分類問題と関連する諸問題の研究Principal Investigator
- Principal Investigator
  
  田中洋
- Project Period (FY)
  1986 – 1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Keio University

All 2008 Other

All Journal Article

[Journal Article] On a formula on the potential operators of absorbing Levy processes in the half space2008
- Author(s)
  Y., Tamura, H., Tanaka
- Journal Title
  
  Stochast. Process. Appl 118
  
  Pages: 199-212
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540133
[Journal Article] On a formula on the potential operators of absorbing Levy processes in the half space2008
- Author(s)
  Y.Tamura and H.Tanaka
- Journal Title
  
  Stochastic Processes and their Applications 118
  
  Pages: 199-212
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540133
[Journal Article] On a fbrmula on the potential operators of absorbing Levy processes inthe half space2008
- Author(s)
  Y. Tamura, H. Tanaka
- Journal Title
  
  Stochast.Process.Appl 118
  
  Pages: 199-212
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540133
[Journal Article] On a formula on potential operators of absorbing L'evy processes in the half space
- Author(s)
  Y.Tamura, H.Tanaka
- Journal Title
  
  Stoch. Pruc.Apple. 未定(掲載確定)
- Data Source
  KAKENHI-PROJECT-17540133

1. MAEJIMA Makoto (90051846)

# of Collaborated Projects: 16 results

# of Collaborated Products: 0 results
2. TAMURA Yozo (50171905)

# of Collaborated Projects: 11 results

# of Collaborated Products: 4 results
3. ITO Yuuji (90112987)

# of Collaborated Projects: 10 results

# of Collaborated Products: 0 results
4. NAKADA Hitoshi (40118980)

# of Collaborated Projects: 10 results

# of Collaborated Products: 0 results
5. MAEDA Yoshiaki (40101076)

# of Collaborated Projects: 8 results

# of Collaborated Products: 0 results
6. KIKUCHI Norio (80090041)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
7. SUZUKI Yuki (30286645)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
8. KANAI Masahiko (70183035)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
9. 谷温之 (90118969)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
10. SHIOKAWA Ietaka (00015835)

# of Collaborated Projects: 4 results

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11. 渋谷政昭 (20146723)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
12. OBATA Morio (90087015)

# of Collaborated Projects: 3 results

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13. 野寺隆 (50156212)

# of Collaborated Projects: 3 results

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14. ENOMOTO Hikoe (00011669)

# of Collaborated Projects: 2 results

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15. 富山淳 (30006928)

# of Collaborated Projects: 2 results

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16. ISHII Ippei (90051929)

# of Collaborated Projects: 2 results

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17. CHIYONOBU Taizo (50197638)

# of Collaborated Projects: 2 results

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18. 石川史郎 (10051913)

# of Collaborated Projects: 2 results

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19. 小泉澄之 (20051162)

# of Collaborated Projects: 2 results

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20. 中野実 (00051607)

# of Collaborated Projects: 2 results

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21. SAKAGAWA Hironobu (60348810)

# of Collaborated Projects: 1 results

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22. SASADA Makiko (00609042)

# of Collaborated Projects: 1 results

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23. ATSUJI Atsushi (00221044)

# of Collaborated Projects: 1 results

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24. KUNITA Hiroshi (30022552)

# of Collaborated Projects: 1 results

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25. OGURA Yukio (00037847)

# of Collaborated Projects: 1 results

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26. SHIGA Tokuzo (60025418)

# of Collaborated Projects: 1 results

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27. KOTANI Shinichi (10025463)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
28. WATANABE Sinzo (90025297)

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
30. KAWAZU Kiyoshi (70037258)

# of Collaborated Projects: 1 results

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31. TAKAHASHI Hiroshi (30413826)

# of Collaborated Projects: 1 results

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32. 柴田里程 (60089828)

# of Collaborated Projects: 1 results

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33. 藤原耕二 (60229078)

# of Collaborated Projects: 1 results

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34. 河添健 (90152959)

# of Collaborated Projects: 1 results

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35. 下村俊 (00154328)

# of Collaborated Projects: 1 results

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36. 黒田耕嗣 (50153416)

# of Collaborated Projects: 1 results

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37. 本田郁二 (50051868)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
38. 土谷正明 (50016101)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
39. 峰村勝弘 (20060684)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
40. 大枝一男 (10060675)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

TANAKA Hiroshi 田中 洋

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TANAKA Hiroshi 田中洋