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TANAKA Hiroshi  田中 洋

ORCIDConnect your ORCID iD *help
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
  • Research Projects

    (23 results)
  • Research Products

    (4 results)
  • Co-Researchers

    (40 People)
  •  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

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