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YASUDA Kumi  安田 公美

ORCIDConnect your ORCID iD *help
… Alternative Names

安田 公美  ヤスダ クミ

安田 公実  ヤスダ クミ

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Researcher Number 40284484
Affiliation (Current) 2025: 慶應義塾大学, 商学部(日吉), 教授
Affiliation (based on the past Project Information) *help 2012 – 2013: 慶應義塾大学, 商学部, 教授
2007 – 2011: Keio University, 商学部, 准教授
2006: 慶應義塾大学, 商学部, 専任講師
2006: 慶應義塾大学, 商学部, 講師
2000 – 2004: 九州大学, 大学院・数理学研究院, 助手 … More
1999 – 2000: 九州大学, 大学院・数理学研究科, 助手
1998: 九州大学, 大学院数理学研究科, 助手
1996 – 1997: 九州大学, 大学院・数理学研究科, 助手 Less
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) / General mathematics (including Probability theory/Statistical mathematics) / Basic analysis / Basic analysis / Algebra
Keywords
Principal Investigator
p進体 / マルコフ過程 / 跡公式 / P進体 / オイラー積 / 確率過程 / 確率解析 / アデール環 / ゼータ関数 / 素測地線定理 / 特殊線型群 … More
Except Principal Investigator
… More 確率微分方程式 / ブラウン運動 / 国際研究者交流 / heat kernel / Malliavin calculus / 確率振動積分 / 跡公式 / 熱核 / random walk / α-自己分解可能分布 / レヴィ測度 / レヴィ過程 / 無限分解可能分布 / グリーン関数 / ランダム半群 / 確率偏微分方程式 / 拡散過程 / ランダム媒質 / 停留位相法 / マリアヴァン解析 / Schrodinger operator / asymptotic behavior / stochastic oscillatory integral / Brownian motion / path integral / stochastic analysis / ディリクレ形式 / 経路空間 / ダイの定理 / ブラウニアンミアンダー / ウィシャート過程 / スペクトル / ランダム場 / ウィナー汎関数 / シュレディンガー作用素 / ランダムウォーク / 漸近挙動 / 経路積分 / 確率解析 / Hormander's hypoellipticity condition / Levy process / Stochastic differential equation / ランダム・ウオーク / p-進体 / ストカスティック・フロー / 準だ円性 / 加法過程 / 準だ円性条件 / マリアバン解析 / レビー過程 / large deviation / trace formula / asymptotic theory / localization / quadratic phase function / Stochastic oscillatory integral / 確率面積 / ヤコビ方程式 / 複素変数変換 / 非線形変換 / 大偏差原理 / 漸近理論 / 局所化 / 2次相関数 / 確立振動積分 / additive processes on p-adic number / stochasticanalysis on infinite dimension / Self-similar process / Stable process / Levy process on groups / 自己相似過程 / P-進体上の加法過程 / ランダム・ウオ-ク / p-進体上の加法過程 / ランダム・ウォーク / 無限次元空間上の確率解析 / 自己相似性 / 安定過程 / 群上のレビー過程 / リトアニア:ドイツ:米国 / 確率積分写像の不動点 / スイス:チェコ:フランス:台湾 / 半レヴィ過程 / 完全自己分解可能分布 / 米国、トルコ、ドイツ / ローゼンブラット過程 / ガンマ分布 / 2次元ガンマ分布 / 安定分布 / 確率積分 / くりこみ群 / 確率ランキング模型 / 液体力学極限 / move-to-front規則 / Burgers方程式 / ポワッソン確率過程 / 流体力学的極限 / 無限粒子系 / ロングテール / オンラインリテール / 先頭に跳ぶ規則 / 準線形偏微分方程式系 / ポワッソン過程 / 確率順位付け模型 / 流体力学極限 / 粒子系 / 確率過程論 / 数理科学 / メキシコ:台湾 / メキシコ、シンガポール / 自由確率論 / フラクショナルレヴィ過程 / スイス:メキシコ:フランス / オルンシュタイン・ウーレンベック過程 / 無限分解可能過程 / 幾何学的関数論 / 値分布論 / 多様体上のブラウン運動 / 有理形関数 / ネヴァンリンナ理論 / イタリア:フランス:オランダ / 国際情報交換 / フランス:オランダ:イスラエル / 測度論敵数論 / 測度論的数論 / 非アルキメデス数体 / 連分数 / 数値積分 / モンテカルロ法 / 無理数回転 / Weyl変換 / 擬似乱数 / 計算量 / 直交検定系 / メルセヌ・ツイスター / 検定法 / 疑似乱数 / 非線形フィルター / Dual gruph / 代数幾何 / Jacobian Conjecture / Asir / Ria / 数式処理 / 双対グラフ / 特異点 / 代数曲線 / ウィナー=カオス / 多重ストラトノビッチ積分 / 多重ウィナー積分 / 振動積分 / 解析的ウィナー汎関数 / 正則ウィナー汎関数 / 抽象ウィナー空間 Less
  • Research Projects

    (17 results)
  • Research Products

    (42 results)
  • Co-Researchers

    (33 People)
  •  Studies on several problems on Levy processes and Infinitely divisible distributions

    • Principal Investigator
      MAEJIMA Makoto
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Keio University
  •  Basic research for renormalization group oriented stochastic analysis

    • Principal Investigator
      HATTORI Tetsuya
    • Project Period (FY)
      2009 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Keio University
  •  Studies on several problems on infinitely divisible processes and infinitely divisible distributions

    • Principal Investigator
      MAEJIMA Makoto
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Keio University
  •  Analysis of stochastic processes on the adelesPrincipal Investigator

    • Principal Investigator
      YASUDA Kumi
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Keio University
  •  Ergodic theory and metric number theory

    • Principal Investigator
      NAKADA Hitoshi
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Keio University
  •  Probabilistic aspects of Nevanlinna theory and their applications

    • Principal Investigator
      ATSUJI Atsushi
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Keio University
  •  p進上半平面上の跡公式と確率過程Principal Investigator

    • Principal Investigator
      安田 公美
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyushu University
  •  A study of stochastic analysis - synthesizing and integrating

    • Principal Investigator
      TANIGUCHI Setsuo
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Basic analysis
    • Research Institution
      KYUSHU UNIVERSITY
  •  局所体上の確率過程と跡公式Principal Investigator

    • Principal Investigator
      安田 公美
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyushu University
  •  A Study of asymptotic behaviors of stochastic oscillatory integrals

    • Principal Investigator
      TANIGUCHI Setsuo
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      KYUSHU UNIVERSITY
  •  Diffusion Processes and Diffusion Equations in Random Environment

    • Principal Investigator
      KUNITA Hiroshi
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Nanzan University
      Kyushu University
  •  確率論および計算量理論による擬似乱数の研究

    • Principal Investigator
      杉田 洋
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyushu University
  •  ランダム媒質における拡散現象の研究

    • Principal Investigator
      國田 寛
    • Project Period (FY)
      1997
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyushu University
  •  抽象ウィナー空間の複素化の研究

    • Principal Investigator
      TANIGUCHI Setsuo
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyushu University
  •  ループ群と正則ウィナー汎関数の研究

    • Principal Investigator
      杉田 洋
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyushu University
  •  計算機代数幾何学としての曲線論・曲面論の研究

    • Principal Investigator
      鈴木 昌和
    • Project Period (FY)
      1996 – 1998
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Kyushu University
  •  STOCHASTIC DIFFERENTIAL EQUATIONS AND LIE ALGEBRAS,LIE GROUPS

    • Principal Investigator
      KUNITA Hiroshi
    • Project Period (FY)
      1995 – 1997
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      KYUSHU UNIVERSITY

All 2013 2012 2010 2009 2008 2007 2006 2005 2004 Other

All Journal Article Presentation

  • [Journal Article] Markov processes on the adeles and Chebyshev function2013

    • Author(s)
      K. Yasuda
    • Journal Title

      Statist. Probab. Lett

      Volume: Vol. 83 Pages: 238-244

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340021
  • [Journal Article] Markov processes on the adeles and Chebyshev function2012

    • Author(s)
      K. Yasuda
    • Journal Title

      Statistics and Probability Letters

      Volume: 83 Pages: 238-244

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340020
  • [Journal Article] Markov processes on the adeles and Chebyshev function2012

    • Author(s)
      K. Yasuda
    • Journal Title

      Statistics & Probability Letters

      Volume: 83 Issue: 1 Pages: 238-244

    • DOI

      10.1016/j.spl.2012.09.008

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340020, KAKENHI-PROJECT-22340021
  • [Journal Article] Markov Processes on the Adeles and Representations of Euler Products2010

    • Author(s)
      Kumi Yasuda
    • Journal Title

      Journal of Theoretical Probability

      Volume: 23 Pages: 748-769

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19740055
  • [Journal Article] Markov processes on R^2 with ultrametric jumps2010

    • Author(s)
      Kumi Yasuda
    • Journal Title

      京都大学数理解析研究所講究録 1672

      Pages: 111-116

    • Data Source
      KAKENHI-PROJECT-19340025
  • [Journal Article] Markov processes on R^2 with ultrametric jumps2010

    • Author(s)
      Kumi Yasuda
    • Journal Title

      数理解析研究所講究録 1672

      Pages: 111-116

    • Data Source
      KAKENHI-PROJECT-19740055
  • [Journal Article] Dirichlet Forms for Diffusion in R^2 and Jumps on Fractals : The Regularity Problem2010

    • Author(s)
      Witold Karwowski, Kumi Yasuda
    • Journal Title

      p-Adic Numbers, Ultrametric Analysis and Applications

      Volume: 2 Pages: 341-359

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19740055
  • [Journal Article] Markov processes on R^2 with ultrametric jumps and representations of Euler products2010

    • Author(s)
      K. Yasuda
    • Journal Title

      J. Theoret. Probab.

      Volume: Vol. 23 Pages: 748-769

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340021
  • [Journal Article] Dirichlet forms for diffusion in R^2 and jumps on fractals : The regularity problem, p-adic Numbers2010

    • Author(s)
      Witold Karwowski, Kumi Yasuda
    • Journal Title

      Ultrametric Analysis and Applications 2巻

      Pages: 341-359

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19740055
  • [Journal Article] Markov processes on R^2 with ultrametric jumps2010

    • Author(s)
      Kumi Yasuda
    • Journal Title

      京都大学数理解析研究所講究録 1672巻

      Pages: 111-116

    • Data Source
      KAKENHI-PROJECT-19740055
  • [Journal Article] Markov processes on the adeles and representations of Euler products2010

    • Author(s)
      Kumi Yasuda
    • Journal Title

      Journal of Theoretical Probability 23巻

      Pages: 748-769

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19740055
  • [Journal Article] Markov processes on R^2 with ultrametric jumps and representations of Euler products2010

    • Author(s)
      K.Yasuda
    • Journal Title

      Journal of Theoretical Probability

      Volume: 23 Pages: 748-769

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340021
  • [Journal Article] Dirichlet forms for diffusion in R^2 and jumps on fractals: the regularity problem2010

    • Author(s)
      W. Karwowski, K. Yasuda
    • Journal Title

      p-Adic Numbers, Ultr. Anal. Appl

      Volume: Vol. 2 Pages: 341-359

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340021
  • [Journal Article] Markov processes on R^2 with ultrametric jumps2010

    • Author(s)
      Kumi Yasuda
    • Journal Title

      数理解析研究所講究録 1672巻

      Pages: 111-111

    • Data Source
      KAKENHI-PROJECT-19740055
  • [Journal Article] Markov processes on the adeles2009

    • Author(s)
      Kumi Yasuda
    • Journal Title

      Journal of Theoretical Probability 掲載決定

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340025
  • [Journal Article] Markov processes on the adeles2008

    • Author(s)
      Kumi Yasuda
    • Journal Title

      数理解析研究所講究録 1590巻

      Pages: 120-125

    • Data Source
      KAKENHI-PROJECT-19740055
  • [Journal Article] Markov processes on the adeles2008

    • Author(s)
      Kumi Yasuda
    • Journal Title

      京都大学数理解析研究所講究録 1590

      Pages: 120-125

    • Data Source
      KAKENHI-PROJECT-19740055
  • [Journal Article] Markov processes on the adeles2008

    • Author(s)
      Kumi Yasuda
    • Journal Title

      京都大学数理解析研究所講究録 1590巻

      Pages: 120-125

    • Data Source
      KAKENHI-PROJECT-19740055
  • [Journal Article] アデール環上のMarkov過程2007

    • Author(s)
      安田 公美
    • Journal Title

      慶應義塾大学商学部創立五十周年記念日吉論文集.

      Pages: 563-578

    • Data Source
      KAKENHI-PROJECT-18540193
  • [Journal Article] Semi-stable processes on local fields2006

    • Author(s)
      Kumi Yasuda
    • Journal Title

      Tohoku Mathematical Journal 58

      Pages: 419-431

    • NAID

      110004762691

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540193
  • [Journal Article] Semi-stable processes on local fields2006

    • Author(s)
      K.Yasuda
    • Journal Title

      Tohoku Mathematical Journal 58

      Pages: 419-431

    • NAID

      110004762691

    • Data Source
      KAKENHI-PROJECT-18540193
  • [Journal Article] Capacities associated with Dirichlet space on an infinite extension of a local field2005

    • Author(s)
      H.Kaneko, K.Yasuda
    • Journal Title

      Forum Math. 17

      Pages: 1011-1032

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14204010
  • [Journal Article] Trace formula on the p-adic upper half-plane2005

    • Author(s)
      K.Yasuda
    • Journal Title

      Jour.Funct.Anal. 216

      Pages: 422-454

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14204010
  • [Journal Article] Trace formula on the p-adic upper half-plane2004

    • Author(s)
      K.Yasuda
    • Journal Title

      Jour. Funct. Anal. 216

      Pages: 422-454

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14204010
  • [Journal Article] Trace formula on the p-adic upper half-plane2004

    • Author(s)
      Kumi Yasuda
    • Journal Title

      Journal of Functional Analysis 216

      Pages: 422-454

    • Data Source
      KAKENHI-PROJECT-14740079
  • [Journal Article] Capacities associated with Dirichlet space on an infinite extension of a local field

    • Author(s)
      Hirosi Kaneko, Kumi Yasuda
    • Journal Title

      Forum Mathematicum (to appear)

    • Data Source
      KAKENHI-PROJECT-14740079
  • [Journal Article] Markov processes on the adeles and representations of Euler products

    • Author(s)
      Kumi Yasuda
    • Journal Title

      Journal of Theoretical Probability (掲載決定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19740055
  • [Presentation] Markov processes on the adeles and applications2010

    • Author(s)
      Kumi Yasuda
    • Organizer
      神楽坂解析セミナー
    • Place of Presentation
      東京理科大学理学部
    • Year and Date
      2010-03-18
    • Data Source
      KAKENHI-PROJECT-19740055
  • [Presentation] Markov processes on the adeles and representations of Riemann zeta function2010

    • Author(s)
      Kumi Yasuda
    • Organizer
      Seminar on Mathematics
    • Place of Presentation
      Opole University
    • Year and Date
      2010-03-11
    • Data Source
      KAKENHI-PROJECT-19740055
  • [Presentation] Adelic processes and number theoretical functions2010

    • Author(s)
      Kumi Yasuda
    • Organizer
      Number Theory and Probability
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2010-09-15
    • Data Source
      KAKENHI-PROJECT-19740055
  • [Presentation] Adelic processes and number theoretical functions2010

    • Author(s)
      K. Yasuda
    • Organizer
      Number Theory and Probability
    • Place of Presentation
      Kyoto, Japan
    • Year and Date
      2010-09-15
    • Data Source
      KAKENHI-PROJECT-22340021
  • [Presentation] Markov processes on the adeles and representations of Riemann zeta function2010

    • Author(s)
      Kumi Yasuda
    • Organizer
      Seminar on Mathematics
    • Place of Presentation
      Opole University(ポーランド)
    • Year and Date
      2010-03-11
    • Data Source
      KAKENHI-PROJECT-19740055
  • [Presentation] Markov processes on the adeles and representations of Riemann zeta function2010

    • Author(s)
      Kumi Yasuda
    • Organizer
      Seminar on Mathematics
    • Place of Presentation
      Opole University(Poland).
    • Year and Date
      2010-03-11
    • Data Source
      KAKENHI-PROJECT-19740055
  • [Presentation] Markov processes on R^2 with ultrametric jumps2009

    • Author(s)
      Kumi Yasuda
    • Organizer
      Stochastic Analysis of Jump Processes and Related Topics
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2009-07-09
    • Data Source
      KAKENHI-PROJECT-19740055
  • [Presentation] Q_pのはなし2009

    • Author(s)
      安田公美
    • Organizer
      確率解析の理論と応用-さよなら箱崎
    • Place of Presentation
      九州大学数理学研究院
    • Year and Date
      2009-07-25
    • Data Source
      KAKENHI-PROJECT-19740055
  • [Presentation] Q_pのはなし2009

    • Author(s)
      安田公美
    • Organizer
      研究集会「確率解析の理論と応用- さよなら箱崎」
    • Place of Presentation
      九州大学数理学研究院
    • Data Source
      KAKENHI-PROJECT-19740055
  • [Presentation] p進値確率過程について2009

    • Author(s)
      安田公美
    • Organizer
      確率論ヤングサマーセミナー
    • Place of Presentation
      国民宿舎つづらお荘
    • Year and Date
      2009-08-20
    • Data Source
      KAKENHI-PROJECT-19740055
  • [Presentation] Markov processes on R^2 with ultrametric jumps, Stochastic Analysis of Jump Processes2009

    • Author(s)
      Kumi Yasuda
    • Organizer
      数理研研究集会
    • Place of Presentation
      京都大学理学部
    • Data Source
      KAKENHI-PROJECT-19740055
  • [Presentation] Q_pのはなし2009

    • Author(s)
      安田公美
    • Organizer
      確率解析の理論と応用-さよなら箱崎-
    • Place of Presentation
      九州大学数理学研究院
    • Year and Date
      2009-07-25
    • Data Source
      KAKENHI-PROJECT-19740055
  • [Presentation] p進値確率過程について, ヤングサマーセミナー20092009

    • Author(s)
      安田公美
    • Place of Presentation
      国民宿舎つづらお荘
    • Data Source
      KAKENHI-PROJECT-19740055
  • [Presentation] Markov processes on Adeles2007

    • Author(s)
      安田公美
    • Organizer
      数論と確率論
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2007-10-15
    • Data Source
      KAKENHI-PROJECT-19740055
  • [Presentation] Markov processes on adeles, Number Theory and Probability2007

    • Author(s)
      Kumi Yasuda
    • Organizer
      Workshop
    • Place of Presentation
      京都大学数理解析研究所
    • Data Source
      KAKENHI-PROJECT-19740055
  • 1.  TANIGUCHI Setsuo (70155208)
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  • 2.  SUGITA Hiroshi (50192125)
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