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muraki naofumi  村木 尚文

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Muraki Naofumi  村木 尚文

MURAKI Naofumi  村木 尚文

村木 尚文  ムラキ ナオフミ

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Researcher Number 60229979
Other IDs
Affiliation (Current) 2025: 岩手県立大学, 総合政策学部, 教授
Affiliation (based on the past Project Information) *help 2015 – 2018: 岩手県立大学, 総合政策学部, 教授
2011 – 2013: 岩手県立大学, 総合政策学部, 教授
2000 – 2001: 岩手県立大学, 総合政策学部, 助教授
1998: 岩手県立大学, 総合政策学部, 助教授
1996 – 1997: 山口大学, 工学部, 助教授
1994 – 1995: 山口大学, 工学部, 講師
Review Section/Research Field
Principal Investigator
General mathematics (including Probability theory/Statistical mathematics) / Basic analysis / General mathematics (including Probability theory/Statistical mathematics) / 計算機科学
Except Principal Investigator
General mathematics (including Probability theory/Statistical mathematics) / 解析学
Keywords
Principal Investigator
量子確率論 / 非可換確率論 / 自由独立性 / 独立性概念 / q-畳み込み / 普遍積 / 捩れ独立性 / q-キュムラント / q-独立性 / 自然積 … More / 単調独立性 / ブール独立性 / テンソル積 / 独立性 / 逆正弦法則 / Fock空間 / 量子情報理論 / 極限定理 / q-変形畳み込み / q-変形独立性 / 捩れ中心極限定理 / 捩れガウス分布 / 捩れフォック空間 / 捩れ正準交換関係 / 捩れテンソル積 / *代数射 / 捻じれフォック空間 / qフォック空間 / 相互作用フォック空間 / キュムラント / 捻じれ独立性 / q変形独立性 / q-変形正準交換関係 / q-変形ブラウン運動 / 普遍計算規則 / q-変形フォック空間 / 証明の単純化 / 独立性の分類定理 / 代数的確率空間 / レヴィ・ヒンチン公式 / 単調畳み込み / 自由確率論 / 準普遍積 / 中心極限定理 / ブラウン運動 / 小数の法則 / ポアソン過程 / フォック空間 / 量子確率 / エントロピー … More
Except Principal Investigator
Dirichlet form / Brownian Motion / diffusion process / Sobolev inequality / ディリクレ形式 / ブラウン運動 / 拡散過程 / ソボレフ不等式 / ナヴィエ・ストークス方程式 / オイラー方程式 / 流体力学 / 非線型偏微分方程式 / 宇宙物理学 Less
  • Research Projects

    (8 results)
  • Research Products

    (27 results)
  • Co-Researchers

    (9 People)
  •  Basic Structures in Noncommutative Probability Theory: Towards Construction and Classification of Notions of IndependencePrincipal Investigator

    • Principal Investigator
      Muraki Naofumi
    • Project Period (FY)
      2015 – 2018
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Basic analysis
    • Research Institution
      Iwate Prefectural University
  •  Construction of the notions of independence in non-commutative probability theoryPrincipal Investigator

    • Principal Investigator
      MURAKI Naofumi
    • Project Period (FY)
      2011 – 2013
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Iwate Prefectural University
  •  量子確率論の基礎研究Principal Investigator

    • Principal Investigator
      村木 尚文
    • 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
      Iwate Prefectural University
  •  量子確率論の研究Principal Investigator

    • Principal Investigator
      村木 尚文
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Iwate Prefectural University
      Yamaguchi University
  •  Construction and Decomposition of Diffusion Processes

    • Principal Investigator
      TOMISAKI Matsuyo
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Yamaguchi University
  •  流体力学に現れる非線型偏微分方程式の解の構造の研究

    • Principal Investigator
      牧野 哲
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Yamaguchi University
  •  量子情報理論の基礎研究Principal Investigator

    • Principal Investigator
      村木 尚文
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Yamaguchi University
  •  量子情報理論の基礎研究Principal Investigator

    • Principal Investigator
      村木 尚文
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      計算機科学
    • Research Institution
      Yamaguchi University

All 2018 2017 2013 2012 2011

All Journal Article Presentation

  • [Journal Article] A simple proof of the classification theorem for positive natural products2013

    • Author(s)
      Naofumi Muraki
    • Journal Title

      Probability and Mathematical Statistics

      Volume: 33 Pages: 315-326

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23654039
  • [Journal Article] A simple proof of the classification theorem for positive natural products2013

    • Author(s)
      N. Muraki
    • Journal Title

      Prob. Math. Statistics

      Volume: 33, No.2 Pages: 315-326

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23654039
  • [Presentation] Monotone convolution2018

    • Author(s)
      Naofumi Muraki
    • Organizer
      Probabilistic Operator Algebra Seminar, University of California at Berkeley
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K13446
  • [Presentation] Twisted independence for noncommutative random variables2017

    • Author(s)
      Naofumi Muraki
    • Organizer
      Extended Probabilistic Operator Algebra Seminar, University of California at Berkeley
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K13446
  • [Presentation] Twisted canonical anticommutation relations and twisted independence2017

    • Author(s)
      Naofumi Muraki
    • Organizer
      Probabilistic Operator Algebra Seminar, University of California at Berkeley
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K13446
  • [Presentation] q-Deformation of free independence2013

    • Author(s)
      Naofumi Muraki
    • Organizer
      Algebra und funktionalanalytische Anwendungen
    • Place of Presentation
      Institut fur Mathematik und Informatik, Ernst Moritz Arndt Universitat Greifswald, Greifswald, Germany
    • Data Source
      KAKENHI-PROJECT-23654039
  • [Presentation] q-Deformation of free independence2013

    • Author(s)
      N. Muraki
    • Organizer
      Seminaire d'Analyse Functionnelle
    • Place of Presentation
      Besancon, フランス
    • Year and Date
      2013-10-01
    • Data Source
      KAKENHI-PROJECT-23654039
  • [Presentation] On a q-deformation of free independence2013

    • Author(s)
      Naofumi Muraki
    • Organizer
      Workshop on Combinatorial and Random Matrix Aspects of Noncommutative Distributions and Free Probability
    • Place of Presentation
      The Fields Institute for Research in Mathematical Sciences, Toronto, Canada
    • Invited
    • Data Source
      KAKENHI-PROJECT-23654039
  • [Presentation] On a q-deformation of free independence2013

    • Author(s)
      N. Muraki
    • Organizer
      Workshop on Combinatorial and Random Matrix Aspects of Noncommutative Distributions and Free Probability
    • Place of Presentation
      Toronto, カナダ
    • Year and Date
      2013-07-05
    • Data Source
      KAKENHI-PROJECT-23654039
  • [Presentation] Twisted independence from twisted CAR2013

    • Author(s)
      N. Muraki
    • Organizer
      Recent Advances in Operator Theory and Operator Algebras
    • Place of Presentation
      Bangalore, インド
    • Year and Date
      2013-01-08
    • Data Source
      KAKENHI-PROJECT-23654039
  • [Presentation] q-Deformation of free independence2013

    • Author(s)
      N. Muraki
    • Organizer
      Algebra und functional analytische Anwendungen
    • Place of Presentation
      Greifswald, ドイツ
    • Year and Date
      2013-09-25
    • Data Source
      KAKENHI-PROJECT-23654039
  • [Presentation] Twisted independence from twisted CAR2013

    • Author(s)
      Naofumi MUraki
    • Organizer
      Recent Advances in Operator Theory and Operator Algebras
    • Place of Presentation
      Indian Statistical Institute, Bangalore, India
    • Invited
    • Data Source
      KAKENHI-PROJECT-23654039
  • [Presentation] q-Deformation of free independence2013

    • Author(s)
      N. Muraki
    • Organizer
      Free Probability Seminar
    • Place of Presentation
      Saskatoon, カナダ
    • Year and Date
      2013-07-11
    • Data Source
      KAKENHI-PROJECT-23654039
  • [Presentation] q-Deformation of free independence2013

    • Author(s)
      Naofumi Muraki
    • Organizer
      Seminaire d’Analyse Fonctionnelle
    • Place of Presentation
      Departement de mathematiques de Besancon, Universite de Franche-Comte, Besancon, France
    • Data Source
      KAKENHI-PROJECT-23654039
  • [Presentation] q-Deformation of free independence2013

    • Author(s)
      Naofumi Muraki
    • Organizer
      Free Probability Seminar
    • Place of Presentation
      Department of Mathematics & Statistics, University of Saskatchewan, Saskatoon, Canada
    • Data Source
      KAKENHI-PROJECT-23654039
  • [Presentation] Twisted independence for noncommutative random variables2012

    • Author(s)
      N. Muraki
    • Organizer
      15th Workshop on Non-Commutative Harmonic Analysis
    • Place of Presentation
      Bedlewo, ポーランド
    • Year and Date
      2012-09-28
    • Data Source
      KAKENHI-PROJECT-23654039
  • [Presentation] 非可換確率論における独立性概念2012

    • Author(s)
      村木尚文
    • Organizer
      CMRU 研究集会「量子確率論と量子ウォーク」
    • Place of Presentation
      東北大学情報科学研究科
    • Year and Date
      2012-07-04
    • Data Source
      KAKENHI-PROJECT-23654039
  • [Presentation] q-Deformation of free independence2012

    • Author(s)
      Naofumi MUraki
    • Organizer
      International Conference on Operator Algebras in Non-equilibrium Statistical Mechanics
    • Place of Presentation
      Goa, India
    • Invited
    • Data Source
      KAKENHI-PROJECT-23654039
  • [Presentation] q-Deformation of stochastic independence in non-commutative probability theory2012

    • Author(s)
      Naofumi Muraki
    • Organizer
      International Workshop on Anomalous Statistics, Generalized Entropies, and Information Geometry
    • Place of Presentation
      Nara Women's University, Nara, Japan
    • Data Source
      KAKENHI-PROJECT-23654039
  • [Presentation] q-Deformation of stochastic independence in non-commutative probability theory2012

    • Author(s)
      N. Muraki
    • Organizer
      International Workshop on Anomalous Statistics, Generalized Entropies, and Entropies, and Information Geometry
    • Place of Presentation
      奈良教育大学
    • Year and Date
      2012-03-08
    • Data Source
      KAKENHI-PROJECT-23654039
  • [Presentation] Twisted independence for noncommutative random variables2012

    • Author(s)
      Naofumi Muraki
    • Organizer
      15th Workshop: Non-Commutative Harmonic Analysis
    • Place of Presentation
      Mathematics Reserach and Conference Center, Bedlewo, Poland
    • Data Source
      KAKENHI-PROJECT-23654039
  • [Presentation] 非可換確率論における独立性概念2012

    • Author(s)
      村木尚文
    • Organizer
      CMRU研究集会「量子確率論と量子ウォーク」
    • Place of Presentation
      東北大学情報科学研究科
    • Data Source
      KAKENHI-PROJECT-23654039
  • [Presentation] q-Deformation of free independence2012

    • Author(s)
      N. Muraki
    • Organizer
      International Conference on Operator Algebras in Non-equilibrium Statistical Mechanics
    • Place of Presentation
      Goa, インド
    • Year and Date
      2012-12-21
    • Data Source
      KAKENHI-PROJECT-23654039
  • [Presentation] On a q-interpolation beteen classical independence and free independence2011

    • Author(s)
      Naofumi Muraki
    • Organizer
      RIMS Workshop: Mathematical Studies on Independence and Dependence Structure - Algebra meets Probability
    • Place of Presentation
      RIMS, Kyoto University, Kyoto, Japan
    • Data Source
      KAKENHI-PROJECT-23654039
  • [Presentation] Noncommutative independence2011

    • Author(s)
      N. Muraki
    • Organizer
      32nd International Conference on Quantum Probability and Related Topics
    • Place of Presentation
      Levico Terme, イタリア
    • Year and Date
      2011-06-02
    • Data Source
      KAKENHI-PROJECT-23654039
  • [Presentation] Non-commutative independence2011

    • Author(s)
      Naofumi Muraki
    • Organizer
      32nd International Conference on Quantum Probability and Related Topics
    • Place of Presentation
      Levico Terme, Italy
    • Data Source
      KAKENHI-PROJECT-23654039
  • [Presentation] On a q-interpolation between classical independence and free independence2011

    • Author(s)
      N. Muraki
    • Organizer
      Mathematical Studies on Independence and Dependence Structure : Algebra meets Probability
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2011-12-19
    • Data Source
      KAKENHI-PROJECT-23654039
  • 1.  OKADA Mari (40201389)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 2.  YANAGI Kenjiro (90108267)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 3.  牧野 哲 (00131376)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 4.  松野 好雅 (30190490)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 5.  栗山 憲 (10116717)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 6.  TOMISAKI Matsuyo (50093977)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 7.  MASUMOTO Makoto (50173761)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 8.  YANAGIHARA Hiroshi (30200538)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 9.  KAWAZU Kiyoshi (70037258)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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