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Okamura Kazuki  岡村 和樹

… Alternative Names

岡村 和樹  オカムラ カズキ

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Researcher Number 20758784
Other IDs
  • ORCIDhttps://orcid.org/0000-0003-4467-4165
Affiliation (Current) 2025: 静岡大学, 理学部, 准教授
Affiliation (based on the past Project Information) *help 2021 – 2023: 静岡大学, 理学部, 講師
2019 – 2020: 信州大学, 学術研究院総合人間科学系, 助教
2018: 信州大学, 全学教育機構, 助教(特定雇用)
2017: 信州大学, 全学教育機構, 助教
2016: 京都大学, 数理解析研究所, 特別研究員(PD)
2015: 京都大学, 数理解析研究所, 研究員
Review Section/Research Field
Principal Investigator
Basic Section 12010:Basic analysis-related / Basic analysis / 0201:Algebra, geometry, analysis, applied mathematics,and related fields / Basic analysis
Keywords
Principal Investigator
ランダムウォーク / グラフ / 確率過程 / パーコレーション / スペクトル次元 / 冪平均 / 確率論 / 大偏差原理 / 測度距離空間 / 確率幾何 … More / ディリクレ形式 / ランダムウォークレンジ / ウィナーソーセージ / 訪問点 / 熱核 / ランプライターグラフ / マルコフ連鎖 / フラクタル関数 / de Rhamの関数方程式 Less
  • Research Projects

    (5 results)
  • Research Products

    (50 results)
  •  複雑なグラフ上のランダムウォークの性質の研究Principal Investigator

    • Principal Investigator
      岡村 和樹
    • Project Period (FY)
      2022 – 2026
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Shizuoka University
  •  不均質な空間の上の確率過程の研究Principal Investigator

    • Principal Investigator
      岡村 和樹
    • Project Period (FY)
      2019 – 2024
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Shizuoka University
      Shinshu University
  •  ランダムグラフ上のランダムウォークの大偏差原理Principal Investigator

    • Principal Investigator
      岡村 和樹
    • Project Period (FY)
      2018 – 2019
    • Research Category
      Grant-in-Aid for Research Activity Start-up
    • Review Section
      0201:Algebra, geometry, analysis, applied mathematics,and related fields
    • Research Institution
      Shinshu University
  •  グラフとその上のランダムウォークの研究Principal Investigator

    • Principal Investigator
      岡村 和樹
    • Project Period (FY)
      2016 – 2018
    • Research Category
      Grant-in-Aid for JSPS Fellows
    • Research Field
      Basic analysis
    • Research Institution
      Shinshu University
      Kyoto University
  •  グラフとその上のランダムウォークの研究Principal Investigator

    • Principal Investigator
      岡村 和樹
    • Project Period (FY)
      2015 – 2016
    • Research Category
      Grant-in-Aid for Research Activity Start-up
    • Research Field
      Basic analysis
    • Research Institution
      Kyoto University

All 2023 2021 2020 2019 2018 2017 2016 2015

All Journal Article Presentation

  • [Journal Article] Properties of complex-valued power means of random variables and their applications2023

    • Author(s)
      Akaoka Y.、Okamura K.、Otobe Y.
    • Journal Title

      Acta Mathematica Hungarica

      Volume: 171 Issue: 1 Pages: 124-175

    • DOI

      10.1007/s10474-023-01372-0

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K14549, KAKENHI-PROJECT-22K13928, KAKENHI-PROJECT-23K03213
  • [Journal Article] Hausdorff Dimensions for Graph-Directed Measures Driven by Infinite Rooted Trees2020

    • Author(s)
      Okamura Kazuki
    • Journal Title

      Real Analysis Exchange

      Volume: 45 Issue: 1 Pages: 29-72

    • DOI

      10.14321/realanalexch.45.1.0029

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K14549
  • [Journal Article] An equivalence criterion for infinite products of Cauchy measures2020

    • Author(s)
      Okamura Kazuki
    • Journal Title

      Statistics & Probability Letters

      Volume: 163 Pages: 108797-108801

    • DOI

      10.1016/j.spl.2020.108797

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K14549
  • [Journal Article] Some Results for Range of Random Walk on Graph with Spectral Dimension Two2020

    • Author(s)
      Okamura Kazuki
    • Journal Title

      Journal of Theoretical Probability

      Volume: - Issue: 3 Pages: 1653-1688

    • DOI

      10.1007/s10959-020-01013-0

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K14549
  • [Journal Article] Characterizations of the Cauchy distribution associated with integral transforms2020

    • Author(s)
      Okamura Kazuki
    • Journal Title

      Studia Scientiarum Mathematicarum Hungarica

      Volume: 57 Issue: 3 Pages: 385-396

    • DOI

      10.1556/012.2020.57.3.1469

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K14549
  • [Journal Article] Quenched Large Deviations for Simple Random Walks on Percolation Clusters Including Long-Range Correlations2018

    • Author(s)
      Noam Berger, Chiranjib Mukherjee, Kazuki Okamura
    • Journal Title

      Communications in Mathematical Physics

      Volume: 358 Issue: 2 Pages: 633-673

    • DOI

      10.1007/s00220-017-3054-z

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16J04213
  • [Journal Article] Some results for conjugate equations2018

    • Author(s)
      Kazuki Okamura
    • Journal Title

      Aequationes mathematicae

      Volume: 印刷中 Issue: 6 Pages: 1051-1084

    • DOI

      10.1007/s00010-018-0633-9

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18H05830
  • [Journal Article] Long time behavior of the volume of the Wiener sausage on Dirichlet spaces2018

    • Author(s)
      Kazuki Okamura
    • Journal Title

      Potential Analysis

      Volume: 印刷中 Issue: 3 Pages: 427-468

    • DOI

      10.1007/s11118-018-9738-y

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18H05830
  • [Journal Article] Unions of random walk and percolation on infinite graphs2018

    • Author(s)
      Kazuki Okamura
    • Journal Title

      Brazilian Journal of Probability and Statistics

      Volume: 印刷中

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-18H05830
  • [Journal Article] Self-similar measures for iterated function systems driven by weak contractions2018

    • Author(s)
      Kazuki Okamura
    • Journal Title

      Proceedings of the Japan Academy, Series A, Mathematical Sciences

      Volume: 94 Issue: 4 Pages: 31-35

    • DOI

      10.3792/pjaa.94.31

    • NAID

      40021543237

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-16J04213
  • [Journal Article] Enlargement of subgraphs of infinite graphs by Bernoulli percolation2017

    • Author(s)
      Kazuki Okamura
    • Journal Title

      Indagationes Mathematicae

      Volume: 28 Issue: 4 Pages: 832-853

    • DOI

      10.1016/j.indag.2017.06.005

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16J04213
  • [Journal Article] On regularity for de Rham's functional equations2016

    • Author(s)
      Kazuki Okamura
    • Journal Title

      Aequationes mathematicae

      Volume: 90 Issue: 6 Pages: 1071-1085

    • DOI

      10.1007/s00010-016-0439-6

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16J04213
  • [Journal Article] A new generalization of the Takagi function2016

    • Author(s)
      Kazuki Okamura
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 434 Issue: 1 Pages: 652-679

    • DOI

      10.1016/j.jmaa.2015.09.031

    • NAID

      120005676636

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15H06311
  • [Journal Article] Enlargement of subgraphs of infinite graphs by Bernoulli percolation : A summary2016

    • Author(s)
      Kazuki Okamura
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: B59 Pages: 227-236

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16J04213
  • [Presentation] Properties of quasi-arithmetic means of random variables via fractional calculus2023

    • Author(s)
      Kazuki Okamura
    • Organizer
      Shinshu summer workshop on probability theory
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14549
  • [Presentation] Properties of quasi-arithmetic means of random variables2023

    • Author(s)
      岡村 和樹
    • Organizer
      確率論ヤングサマーセミナー2023
    • Invited
    • Data Source
      KAKENHI-PROJECT-22K13928
  • [Presentation] Properties of quasi-arithmetic means of random variables2023

    • Author(s)
      岡村 和樹
    • Organizer
      確率論ヤングサマーセミナー2023
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14549
  • [Presentation] Properties of quasi-arithmetic means of random variables via fractional calculus2023

    • Author(s)
      Kazuki Okamura
    • Organizer
      Shinshu summer workshop on probability theory
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-22K13928
  • [Presentation] Some results for range of random walk on graph with spectral dimension two2021

    • Author(s)
      Kazuki Okamura
    • Organizer
      10th International Conference on Stochastic Analysis and its Applications
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14549
  • [Presentation] Bi-infinite geodesics of first passage percolations on some infinite graphs2019

    • Author(s)
      Kazuki Okamura
    • Organizer
      Selected topics in stochastic geometry
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18H05830
  • [Presentation] Some results for conjugate equations2019

    • Author(s)
      Kazuki Okamura
    • Organizer
      Dynamics, Equations and Applications
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14549
  • [Presentation] Some results for range of random walk on graph with spectral dimension two2019

    • Author(s)
      岡村和樹
    • Organizer
      マルコフ過程とその周辺
    • Data Source
      KAKENHI-PROJECT-18H05830
  • [Presentation] Some results for range of random walk on graph with spectral dimension two2019

    • Author(s)
      Kazuki Okamura
    • Organizer
      The first China-Japan-Korea probability workshop
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14549
  • [Presentation] Some results for range of random walk on graph with spectral dimension two2019

    • Author(s)
      Kazuki Okamura
    • Organizer
      Seminar on Stochastic Processes 2019
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18H05830
  • [Presentation] Lower bounds for range of random walk on graph with spectral dimension two2019

    • Author(s)
      岡村和樹
    • Organizer
      無限粒子系、確率場の諸問題XIV
    • Data Source
      KAKENHI-PROJECT-18H05830
  • [Presentation] Some results for range of random walk on graph with spectral dimension two2019

    • Author(s)
      Kazuki Okamura
    • Organizer
      Kobe Workshop on Probabilistic Potential Theory and Related Fields
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14549
  • [Presentation] Some results for conjugate equations2018

    • Author(s)
      Kazuki Okamura
    • Organizer
      Dynamical Systems, Difference and Functional Equations
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18H05830
  • [Presentation] Long time behavior of the volume of the Wiener sausage on Dirichlet spaces2018

    • Author(s)
      Kazuki Okamura
    • Organizer
      Workshop on Stochastic Partial Differential Equations and Related Topics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18H05830
  • [Presentation] Bi-infinite geodesics of first passage percolations on some infinite graphs2018

    • Author(s)
      Kazuki Okamura
    • Organizer
      17th Stochastic Analysis on Large Scale Interacting Systems
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18H05830
  • [Presentation] 複雑なグラフの上のランダムウォークの諸性質について2018

    • Author(s)
      岡村和樹
    • Organizer
      信州大学数理科学談話会
    • Invited
    • Data Source
      KAKENHI-PROJECT-18H05830
  • [Presentation] Some results for range of random walk on graph with spectral dimension two2018

    • Author(s)
      Kazuki Okamura
    • Organizer
      Spin Systems: Discrete and Continuous
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16J04213
  • [Presentation] Some results for range of random walk on graph with spectral dimension two2017

    • Author(s)
      岡村和樹
    • Organizer
      東京確率論セミナー
    • Data Source
      KAKENHI-PROJECT-16J04213
  • [Presentation] Quenched large deviations for simple random walks on percolation models including long-range correlations2017

    • Author(s)
      Kazuki Okamura
    • Organizer
      PIMS-CRM Probability Summer School 2017
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16J04213
  • [Presentation] Long time behavior of the volume of the Wiener sausage on Dirichlet spaces2017

    • Author(s)
      Kazuki Okamura
    • Organizer
      Potential Analysis and Related Fields 2017
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16J04213
  • [Presentation] Quenched large deviations for simple random walks on percolation models including long-range correlations2017

    • Author(s)
      岡村和樹 (joint work with Noam Berger and Chiranjib Mukherjee)
    • Organizer
      Kick off Meeting for Stochastic Analysis on Infinite Particle Systems I, Young Session
    • Place of Presentation
      九州大学、福岡県福岡市
    • Year and Date
      2017-01-24
    • Data Source
      KAKENHI-PROJECT-16J04213
  • [Presentation] Long time behavior of the volume of the Wiener sausage on Dirichlet spaces2017

    • Author(s)
      岡村和樹
    • Organizer
      マルコフ過程とその周辺
    • Place of Presentation
      とくぎんトモニプラザ、徳島県徳島市
    • Year and Date
      2017-01-08
    • Data Source
      KAKENHI-PROJECT-16J04213
  • [Presentation] Quenched large deviations for simple random walks on percolation models including long-range correlations2017

    • Author(s)
      岡村和樹
    • Organizer
      関西確率論セミナー
    • Data Source
      KAKENHI-PROJECT-16J04213
  • [Presentation] Some results for range of random walk on graph with spectral dimension two2017

    • Author(s)
      Kazuki Okamura
    • Organizer
      47th Saint-Flour Probability Summer school
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16J04213
  • [Presentation] Some results for range of random walk on graph with spectral dimension two2017

    • Author(s)
      Kazuki Okamura
    • Organizer
      16th Stochastic Analysis on Large Scale Interacting Systems
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16J04213
  • [Presentation] 複雑なグラフの上のランダムウォークの諸性質について2017

    • Author(s)
      岡村和樹
    • Organizer
      日本数学会秋季総合分科会統計数学分科会特別講演
    • Invited
    • Data Source
      KAKENHI-PROJECT-16J04213
  • [Presentation] Enlargement of subgraphs of infinite graphs by Bernoulli percolation2016

    • Author(s)
      Kazuki Okamura
    • Organizer
      Simons Conference on Random Graph processes 2016 (Poster session)
    • Place of Presentation
      テキサス州オースティン、アメリカ
    • Year and Date
      2016-05-11
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16J04213
  • [Presentation] On the volume of the Wiener sausage in local Dirichlet spaces2016

    • Author(s)
      岡村和樹
    • Organizer
      確率論サマースクール
    • Place of Presentation
      信州大学、長野県松本市
    • Year and Date
      2016-09-07
    • Data Source
      KAKENHI-PROJECT-16J04213
  • [Presentation] Enlargement of subgraphs of infinite graphs by Bernoulli percolation2016

    • Author(s)
      Kazuki Okamura
    • Organizer
      Seminar on Stochastic Processes 2016
    • Place of Presentation
      University of Maryland (College Park, Maryland, USA)
    • Year and Date
      2016-03-18
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H06311
  • [Presentation] Enlargement of subgraphs of infinite graphs by Bernoulli percolation2016

    • Author(s)
      Kazuki Okamura
    • Organizer
      12th German Probability and Statistics Days
    • Place of Presentation
      Ruhr-Universitat Bochum (Bochum, German)
    • Year and Date
      2016-03-02
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H06311
  • [Presentation] Long time behavior of the volume of the Wiener sausage on Dirichlet spaces2016

    • Author(s)
      岡村和樹
    • Organizer
      確率論シンポジウム
    • Place of Presentation
      京都大学、京都府京都市
    • Year and Date
      2016-12-19
    • Data Source
      KAKENHI-PROJECT-16J04213
  • [Presentation] Unions of random walk and Bernoulli percolation2016

    • Author(s)
      岡村和樹
    • Organizer
      確率論ヤングサマーセミナー
    • Place of Presentation
      伊勢市二見公民館、三重県伊勢市
    • Year and Date
      2016-08-12
    • Data Source
      KAKENHI-PROJECT-16J04213
  • [Presentation] Long time behavior of the volume of the Wiener sausage on Dirichlet spaces2016

    • Author(s)
      岡村和樹
    • Organizer
      確率解析とその周辺
    • Place of Presentation
      九州大学、福岡県福岡市
    • Year and Date
      2016-11-09
    • Data Source
      KAKENHI-PROJECT-16J04213
  • [Presentation] Enlargement of subgraphs of infinite graphs by Bernoulli percolation2015

    • Author(s)
      Kazuki Okamura
    • Organizer
      14th Stochastic Analysis on Large Scale Interacting Systems
    • Place of Presentation
      京都大学(京都府京都市)
    • Year and Date
      2015-10-28
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H06311
  • [Presentation] A new generalization of the Takagi function2015

    • Author(s)
      Kazuki Okamura
    • Organizer
      Fractals and Related Fields III
    • Place of Presentation
      Porquerolles, France
    • Year and Date
      2015-09-22
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H06311
  • [Presentation] Enlargement of subgraphs of infinite graphs by Bernoulli percolation2015

    • Author(s)
      岡村和樹
    • Organizer
      確率論シンポジウム
    • Place of Presentation
      岡山大学(岡山県岡山市)
    • Year and Date
      2015-12-18
    • Data Source
      KAKENHI-PROJECT-15H06311

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