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Tanaka Haruyoshi  田中 晴喜

ORCIDConnect your ORCID iD *help
Researcher Number 60648567
Other IDs
Affiliation (Current) 2025: 鳴門教育大学, 大学院学校教育研究科, 准教授
Affiliation (based on the past Project Information) *help 2023: 鳴門教育大学, 大学院学校教育研究科, 准教授
2020 – 2022: 和歌山県立医科大学, 医学部, 講師
Review Section/Research Field
Principal Investigator
Basic Section 12010:Basic analysis-related
Keywords
Principal Investigator
準安定系 / 擬コンパクト / 反復関数系 / 漸近摂動 / 転送作用素 / 摂動解析 / ビリヤード力学系 / 無限グラフ / Gibbs測度 / Hausdorff次元 / 非共形写像 / 漸近理論 / 漸近分散
  • Research Projects

    (2 results)
  • Research Products

    (26 results)
  •  転送作用素の固有空間摂動解析による準安定状態検出問題の研究Principal Investigator

    • Principal Investigator
      田中 晴喜
    • Project Period (FY)
      2023 – 2026
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Naruto University of Education
  •  Higher-order asymptotic analysis of nonconformal iterative function systems with infinite graphs by asymptotic theory construction of transfer operatorsPrincipal Investigator

    • Principal Investigator
      Tanaka Haruyoshi
    • Project Period (FY)
      2020 – 2022
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Wakayama Medical University

All 2024 2023 2022 2021 2020

All Journal Article Presentation

  • [Journal Article] Billiards with countably many scatterers under no eclipse2024

    • Author(s)
      Haruyoshi Tanaka
    • Journal Title

      Fundamenta Mathematicae (to appear)

      Volume: - Issue: 2 Pages: 165-177

    • DOI

      10.4064/fm230728-23-1

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23K03134
  • [Journal Article] Higher-order asymptotic behaviours of pressure functionals and statistical representations of the coefficients2024

    • Author(s)
      田中晴喜
    • Journal Title

      日本数学会 2024年度日本数学会年会,統計数学分科会講演アブストラクト

      Volume: - Pages: 59-60

    • Data Source
      KAKENHI-PROJECT-23K03134
  • [Journal Article] Quasi-compactness of transfer operators for topological Markov shifts with holes2024

    • Author(s)
      Haruyoshi Tanaka
    • Journal Title

      Discrete and Continuous Dynamical Systems (to appear)

      Volume: - Issue: 9 Pages: 2464-2490

    • DOI

      10.3934/dcds.2024035

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23K03134
  • [Journal Article] On dimension estimates in nonconformal graph iterated function systems via asymptotic perturbation2023

    • Author(s)
      田中晴喜
    • Journal Title

      日本数学会 2022年日本数学会年会,統計数学分科会講演アブストラクト

      Volume: - Pages: 43-44

    • Data Source
      KAKENHI-PROJECT-20K03636
  • [Journal Article] Asymptotic behaviours of thermodynamic quantities in perturbed graph directed Markov systems2023

    • Author(s)
      Haruyoshi Tanaka
    • Journal Title

      RIMS Kokyuroku "Perspectives of studies on random/non-autonomous dynamical systems: theory and applications"

      Volume: 2270 Pages: 34-46

    • Open Access
    • Data Source
      KAKENHI-PROJECT-23K03134
  • [Journal Article] Asymptotic solution of Bowen equation for perturbed potentials on shift spaces with countable states2023

    • Author(s)
      Haruyoshi Tanaka
    • Journal Title

      Journal of Fractal Geometry, to appear

      Volume: - Issue: 1 Pages: 151-168

    • DOI

      10.4171/jfg/135

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-20K03636
  • [Journal Article] Asymptotic behaviours of pressure functionals and statistical representations of the coefficients2022

    • Author(s)
      Haruyoshi Tanaka
    • Journal Title

      RIMS Kokyuroku "Integrated Research on Random Dynamical Systems and Multi-Valued Dynamical Systems"

      Volume: 2217 Pages: 51-61

    • Open Access
    • Data Source
      KAKENHI-PROJECT-20K03636
  • [Journal Article] Asymptotic solution of Bowen equation for perturbed potentials defined on shift spaces2021

    • Author(s)
      Haruyoshi Tanaka
    • Journal Title

      RIMS Kokyuroku

      Volume: 2176 Pages: 28-36

    • NAID

      120007141902

    • Open Access
    • Data Source
      KAKENHI-PROJECT-20K03636
  • [Presentation] Higher-order asymptotic behaviours of pressure functionals and statistical representations of the coefficients2024

    • Author(s)
      田中晴喜
    • Organizer
      Workshop"数論とエルゴード理論"
    • Data Source
      KAKENHI-PROJECT-23K03134
  • [Presentation] Quasi-compactness of transfer operators for topological Markov shifts with holes and some applications2024

    • Author(s)
      田中晴喜
    • Organizer
      研究集会"力学系とエルゴード理論"erat
    • Data Source
      KAKENHI-PROJECT-23K03134
  • [Presentation] Higher-order asymptotic behaviours of pressure functionals and statistical representations of the coefficients2024

    • Author(s)
      田中晴喜
    • Organizer
      令和5年度日本数学会中国・四国支部例会
    • Data Source
      KAKENHI-PROJECT-23K03134
  • [Presentation] Higher-order asymptotic behaviours of pressure functionals and statistical representations of the coefficients2024

    • Author(s)
      田中晴喜
    • Organizer
      2024年 日本数学会年会
    • Data Source
      KAKENHI-PROJECT-23K03134
  • [Presentation] Dimension estimates in nonconformal graph directed iterated function systems via asymptotic perturbation2023

    • Author(s)
      Haruyoshi Tanaka
    • Organizer
      国際研究集会”XLIII Dynamics Days Europe"
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K03134
  • [Presentation] On dimension estimates in graph iterated function systems on quasi-Banach spaces2023

    • Author(s)
      田中晴喜
    • Organizer
      広島確率論・力学系セミナー --Wakayama One day Workshop--
    • Data Source
      KAKENHI-PROJECT-23K03134
  • [Presentation] グラフ構造をもつ反復関数系の漸近摂動とその応用2023

    • Author(s)
      田中晴喜
    • Organizer
      広島確率論・力学系セミナー
    • Data Source
      KAKENHI-PROJECT-20K03636
  • [Presentation] Higher-order asymptotic behaviours of pressure functionals and statistical representations of the coefficients2023

    • Author(s)
      田中晴喜
    • Organizer
      2023 年度エルゴード理論研究集会
    • Data Source
      KAKENHI-PROJECT-23K03134
  • [Presentation] グラフ構造をもつ反復関数系の漸近摂動とその応用その22023

    • Author(s)
      田中晴喜
    • Organizer
      広島確率論・力学系セミナー
    • Data Source
      KAKENHI-PROJECT-23K03134
  • [Presentation] On dimension estimates in graph iterated function systems on quasi-normed spaces2023

    • Author(s)
      田中晴喜
    • Organizer
      OCAMI 数論・力学系セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-23K03134
  • [Presentation] On dimension estimates in nonconformal graph iterated function systems via asymptotic perturbation2023

    • Author(s)
      田中晴喜
    • Organizer
      日本数学会2023年度年会
    • Data Source
      KAKENHI-PROJECT-20K03636
  • [Presentation] Asymptotic behaviors of thermodynamic quantities in perturbed graph directed Markov systems2022

    • Author(s)
      田中晴喜
    • Organizer
      RIMS共同研究集会「ランダム力学系・非自励力学系研究の展望:理論と応用」
    • Data Source
      KAKENHI-PROJECT-20K03636
  • [Presentation] On dimension estimates in nonconformal graph iterated function systems via asymptotic perturbation2022

    • Author(s)
      田中晴喜
    • Organizer
      「2022 年度冬の力学系研究集会」
    • Data Source
      KAKENHI-PROJECT-20K03636
  • [Presentation] Quasi-compactness of transfer operators for topological Markov shifts with holes and some applications2022

    • Author(s)
      田中晴喜
    • Organizer
      RIMS共同研究(グループ型A)「エルゴード理論の最近の進展」
    • Data Source
      KAKENHI-PROJECT-20K03636
  • [Presentation] Quasi-compactness of transfer operators for topological Markov shifts with holes and some applications2022

    • Author(s)
      田中晴喜
    • Organizer
      「2022 年度エルゴード理論研究集会」
    • Data Source
      KAKENHI-PROJECT-20K03636
  • [Presentation] An asymptotic analysis in thermodynamic formalism for countable Markov shifts2021

    • Author(s)
      田中晴喜
    • Organizer
      2020年度冬の力学系研究集会
    • Data Source
      KAKENHI-PROJECT-20K03636
  • [Presentation] Asymptotic behaviours of pressure functionals and statistical representations of the coefficients2021

    • Author(s)
      田中晴喜
    • Organizer
      数理解析研究所共同研究(公開型)オンライン研究集会「ランダム力学系および多価写像力学系理論の総合的研究」
    • Data Source
      KAKENHI-PROJECT-20K03636
  • [Presentation] 可算マルコフシフトに対する熱力学形式における漸近解析2020

    • Author(s)
      田中晴喜
    • Organizer
      広島確率論・力学系セミナー
    • Data Source
      KAKENHI-PROJECT-20K03636

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