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

# of Collaborated Products: 0 results
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

# of Collaborated Products: 0 results
13. 野寺隆 (50156212)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
14. ENOMOTO Hikoe (00011669)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
15. 富山淳 (30006928)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
16. ISHII Ippei (90051929)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
17. CHIYONOBU Taizo (50197638)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
18. 石川史郎 (10051913)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
19. 小泉澄之 (20051162)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
20. 中野実 (00051607)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
21. SAKAGAWA Hironobu (60348810)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. SASADA Makiko (00609042)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
23. ATSUJI Atsushi (00221044)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. KUNITA Hiroshi (30022552)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. OGURA Yukio (00037847)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
26. SHIGA Tokuzo (60025418)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
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

# of Collaborated Products: 0 results
31. TAKAHASHI Hiroshi (30413826)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
32. 柴田里程 (60089828)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
33. 藤原耕二 (60229078)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
34. 河添健 (90152959)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
35. 下村俊 (00154328)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
36. 黒田耕嗣 (50153416)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
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

Research Projects

Research Products

Co-Researchers

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Research on Diffusion Processes in Random EnvironmentsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Research on Probability and Related Topics of AnalysisPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Institution

Research on Probability Theory and Related Problems of AnalysisPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

TANAKA Hiroshi 田中洋