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SATO Ken-iti  佐藤 健一

ORCIDConnect your ORCID iD *help
Researcher Number 60015500
Affiliation (based on the past Project Information) *help 2002 – 2005: 名古屋大学, 名誉教授
1998 – 2000: 名古屋大学, 名誉教授
1993 – 1995: 名古屋大学, 情報文化学部, 教授
1986 – 1992: College of General Education Nagoya University, Professor, 教養部, 教授
Review Section/Research Field
Principal Investigator
General mathematics (including Probability theory/Statistical mathematics)
Except Principal Investigator
General mathematics (including Probability theory/Statistical mathematics) / 代数学・幾何学 / 解析学 / Algebra / General mathematics (including Probability theory/Statistical mathematics)
Keywords
Principal Investigator
マルコフ過程 / 加法過程 / マルコフ連鎖 / 強過渡的と弱過渡的 / 特性関数 / 極限分布 / 拡散近似 / 出生死亡過程 / 自己相似過程 / ガウス型通信路 … More / ブラウン運動 / 確率制御問題 / 対数型拡散核 / 解析的容量 / 自己分解可能分布 / フィ-ドバック / 確率制御 / シュレ-ディンガ-作用素 / 組みひも群 / 公理A / リーマン多様体 / 有理型関数 / 特異点集合 / ヤン・バクスター方程式 / サボーディネイション / 再帰性 / ディリクレ核 / ピカール集合 / 標準量子限界 / Birth-and-death Process / Markov Process / Self-similar Process / Gaussian Channel / Brownian Motion / Stochastic Control Problem / Logarithmic Diffusion Kernel / Analytic Capacity … More
Except Principal Investigator
ガウス型通信路 / 符号化定理 / マルコフ連鎖 / 加法過程 / レヴィ過程 / 無限分解可能分布 / 通信路容量 / ハルナック不等式 / ベルマン方程式 / 従属操作 / 単峰な確率分布 / 半自己分解可能分布 / 極限定理 / 曲率テンソル / 同値問題 / 実代数的 / 微分多項式 / G-構造 / 形式的巾級数 / ジュブレイ指数 / ニュ-トン図形 / フックス型方程式 / グルサ-問題 / 常微分作用素 / 指数定理 / 微分作用素環上の行列式 / フィ-ドバック / large deviation / 一点への到達確率 / 再帰性・非再帰性 / 自己相似な確率過程 / OrnsteinーUhlenbeck型確率過程 / エルゴード的確率制御問題 / 勾配評価 / 単峰性 / 帰納的関数論 / 計算量 / 多項式時間計算可能性 / 決定問題 / 上半束 / 代数的教体 / 構造不変量 / 実2次体 / 不定方程式 / 多次元径数 / 時間変更 / 錘径数 / 正定値行列値確率度数 / 多次元タイプG確率変数 / 錘径数たたみこみ半群 / 実代数的集合 / 多項式 / 有理関数 / Nash多様体 / 対称マルコフ過程 / 爆発問題 / リーマン多様体上のブラウン運動 / 負曲率 / Tailσ-field / Invarianto-field / モード / 時間的一様な独立増分をもつ確率過程 / 対数型ポテンシャル / 半完全最大値原理 / ポテンシャル核の摂動 / 対数凸性 / コーシー変換 / 解析的汎関数 / 佐藤超関数 / 常微分方程式系の指数定理 / 解の正則性 / ワイル代数上の行列式論 / ホワイトノイズ解析 / 場の量子論 / 超汎関数 / ディリクレ形式 / ファインマン積分 / White Noise Analysis / Rotation group / Levy group / Levy Laplacian / Whisker / ハント合成核 / 対数型核 / スペクトラルシンセシス / 解析容量 / 劣調和関数の非可積分性 / ポテンシャル核のレゾルベント / 回帰的生成半群 / オーレンスタイン・ウーレンベック型過程 / 対数型ポテンシャル核 / 非回帰的半群 / 確率過程の再帰性 / 調和関数の境界挙動 / 偏微分方程式の可解性 / 周期軌道 / Hunt convolution kernels / kernels of logarithmic type / Spectral synthetic / Analytic capacity / non-integrability of sub-harmonic functions / resolvent of potential-kernels / recurrent semi-group / Ornstein-Uhlenbeck type process / 情報理論 / 定常過程のスペクトル解析 / 最大エントロピー法 / 大偏差定理 / 大偏差理論 / information theory / spectral analysis of stationary processes / maximum entropy method / large deviation theorem / channel capacity / 自己分解可能分布 / タイプG分布 / 自己相似確率過程 / 半自己相似確率過程 / 絶対連続性 / 過渡性 / 半安定分布 / infinitely divisible distributions / selfdecomposable distributions / semi-selfdecomposable distributions / type G distributions / selfsimilar stochastic processes / semi-selfsimilar stochastic processes / levy processes / absolute continuity / 半レヴィ過程 / 確率積分表現 / 半自己相似過程 / 確立積分表現 / 半定常過程 / オルンシュタイン・ウーレンベック過程 / Levy process / semi-Levy process / infinitely divisible distribution / stochastic integral characterization / semi-selfsimilar process / additive parocess / 確率論 / 確率過程 / マルコフ過程 / 点過程 / 自己同形性 / 確率微分方程式 / マルチンゲール理論 / Probability Theory / Stochastic Processes / Markov Processes / Limit Theorems / Point Processes / Self Similarity / Stochastic Differential Equations / 力学系 / 特異摂動論 / 電気回路 / 量子力学 / 作用素環論 / 観測過程 / 出生死亡過程 / Dynamical Systems / Singular Perturbation / Quantum Mechanics / Operator Rings / Conditional Expectations Less
  • Research Projects

    (21 results)
  • Research Products

    (10 results)
  • Co-Researchers

    (50 People)
  •  Study on semi-Levy processes and semi-selfsimilar processes

    • Principal Investigator
      MAEJIMA Makoto
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      KEIO UNIVERSITY
  •  多次元径数レヴィ過程の研究

    • Principal Investigator
      MAEJIMA Makoto
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Keio University
  •  A study on semi-selfdecomposable distributions and semi-selfsimilar stochastic processes

    • Principal Investigator
      MAEJIMA Makoto
    • 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
      Keio University
  •  マルコフ過程の時間発展の研究Principal Investigator

    • Principal Investigator
      佐藤 健一
    • 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
      Nagoya University
  •  代数的数体における構造不変量の研究

    • Principal Investigator
      横井 英夫
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  帰納的関数論の計算量問題への応用

    • Principal Investigator
      篠田 壽一
    • 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
      Nagoya University
  •  Study of Information Theory Based on Probability Theory

    • Principal Investigator
      IHARA Shunsuke
    • Project Period (FY)
      1993 – 1995
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Nagoya University
  •  エルゴード型ベルマン方程式の研究

    • Principal Investigator
      長井 英生
    • Project Period (FY)
      1992 – 1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Nagoya University
  •  マルコフ過程とその応用

    • Principal Investigator
      市原 完治
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Nagoya University
  •  Potential-kernels of logarithmic type and their applications

    • Principal Investigator
      ITO Masayuki
    • Project Period (FY)
      1991 – 1992
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      Nagoya University
  •  情報理論の研究

    • Principal Investigator
      IHARA Shunsuke
    • 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
      Nagoya University
  •  代数的リ-マン多様体

    • Principal Investigator
      大和 一夫
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Nagoya University
  •  複素領域における微分方程式系と関連分野の研究

    • Principal Investigator
      三宅 正武
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Institution
      Nagoya University
  •  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
  •  複素領域における偏微分方程式系と関連分野の研究

    • Principal Investigator
      三宅 正武
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Nagoya University
  •  対数型ポテンシャルとその応用

    • Principal Investigator
      伊藤 正之
    • Project Period (FY)
      1987
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Nagoya University
  •  Study of Stochastic ProcessesPrincipal Investigator

    • Principal Investigator
      SATO Ken-iti
    • Project Period (FY)
      1987 – 1989
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Nagoya University
  •  実代数幾何及び実解析位相幾何の研究

    • Principal Investigator
      塩田 昌弘
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Nagoya University
  •  マルコフ過程の研究

    • Principal Investigator
      市原 完治
    • 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
      Nagoya University
  •  Co-operative Research on Probability Theory

    • Principal Investigator
      TOTOKI Haruo
    • Project Period (FY)
      1985 – 1986
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      HIROSHIMA UNIVERSITY
  •  Theory of Dynamical Systems

    • Principal Investigator
      SHIRAIWA Kenichi
    • Project Period (FY)
      1985 – 1986
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      代数学・幾何学
    • Research Institution
      Nagoya University

All 2006 Other

All Journal Article

  • [Journal Article] Someclasses of infinitely divisible distributions admitting stochastic integral representations2006

    • Author(s)
      O.E.Barndorff-Nielsen, M.Maejima, K.Sato
    • Journal Title

      Bernoulli Vol.12, No.1

      Pages: 1-33

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340036
  • [Journal Article] Some classes of infinitely divisible distributions admitting stochastic integral representations2006

    • Author(s)
      O.E.Barndorff-Nielsen, M.Taejima, K.Sato
    • Journal Title

      Bernoulli Vol.12, No.1

      Pages: 1-33

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340036
  • [Journal Article] Some classes of infinitely divisible distributions admitting stochastic integral representations2006

    • Author(s)
      O.E.Barndorff-Nielsen, M.Maejima, K.Sato
    • Journal Title

      Bernoulli Vol.12, No.1

      Pages: 1-33

    • Data Source
      KAKENHI-PROJECT-15340036
  • [Journal Article] Two families of improper stochastic integrals with respect to Levy processes

    • Author(s)
      K.Sato
    • Journal Title

      Latin American Journal of Probability and Matheamtical Statistics to appear

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340036
  • [Journal Article] Infinite divisibility for stochastic processes and time change

    • Author(s)
      O.E.Barndorff-Nielsen, M.Maejima, K.Sato
    • Journal Title

      J.Theoretical Probability (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340036
  • [Journal Article] Infinite divisibility for stochastic processes and time change

    • Author(s)
      O.E..Barndorff-Nielsen, M.Maejima, K.Sato
    • Journal Title

      J.Theoretical Probability to appear

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340036
  • [Journal Article] Infinite divisibility for stochastic processes and time change

    • Author(s)
      O.E.Barndorff-Nielsen, M.Maejima, K.Sato
    • Journal Title

      J. Theoretical Probability (to appear)

    • Data Source
      KAKENHI-PROJECT-15340036
  • [Journal Article] Two families of improper stochastic integrals with respect to Levy processes

    • Author(s)
      K.Sato
    • Journal Title

      Latin American Journal of Probability and Matheamtical Statistics (to appear)

    • Data Source
      KAKENHI-PROJECT-15340036
  • [Journal Article] Two families of improper stochastic integrals with respect to Levy processes

    • Author(s)
      K.Sato
    • Journal Title

      Latin American Journal of Probability and Matheamtical Statistics (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340036
  • [Journal Article] Infinite divisibility for stochastic processes and time change

    • Author(s)
      O.E.Barndorff-Nielsen, M.Maejima, K.Sato
    • Journal Title

      J.Theoret. Probab. (発表予定)

    • Data Source
      KAKENHI-PROJECT-15340036
  • 1.  OZAWA Masanao (40126313)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 2.  ITO Masayuki (60022638)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 3.  IHARA Shunsuke (00023200)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 4.  NAGAI Hideo (70110848)
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  • 5.  三宅 正武 (70019496)
    # of Collaborated Projects: 7 results
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  • 9.  YOKOI Nideo (50023560)
    # of Collaborated Projects: 3 results
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  • 10.  MAEJIMA Makoto (90051846)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 6 results
  • 11.  IKEGAMI Giko (00023614)
    # of Collaborated Projects: 3 results
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  • 12.  MURAI Takafumi (00109266)
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  • 13.  大和 一夫 (30022677)
    # of Collaborated Projects: 3 results
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  • 14.  佐藤 肇 (30011612)
    # of Collaborated Projects: 3 results
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  • 15.  篠田 壽一 (30022685)
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  • 16.  MORIMOTO Hiroshi (20115645)
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  • 17.  NOMOTO Hisao (40023030)
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  • 18.  MIYAKE Katsuya (20023632)
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  • 19.  KUSUOKA Shigeo (00114463)
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  • 21.  NAKADA Hitoshi (40118980)
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  • 23.  中野 伸 (40180327)
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  • 24.  HIDA Takeyuki (90022508)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
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    # of Collaborated Projects: 1 results
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    # of Collaborated Projects: 1 results
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    # of Collaborated Projects: 1 results
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    # of Collaborated Projects: 1 results
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    # of Collaborated Projects: 1 results
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    # of Collaborated Projects: 1 results
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  • 46.  POTTHOFF Jurgen
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
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    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
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    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
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    # of Collaborated Projects: 1 results
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    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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