Takahashi, Hiroki

写真a

Affiliation

Faculty of Science and Technology, Department of Mathematics (Yagami)

Position

Professor

Related Websites

External Links

Career 【 Display / hide

  • 2006.04
    -
    2007.06

    IMPA(純粋・応用数学研究所, ブラジル)客員研究員

  • 2007.07
    -
    2008.03

    京都大学大学院理学研究科 GCOE研究員

  • 2007.10
    -
    2008.03

    聖母女学院短期大学, 非常勤講師

  • 2008.04
    -
    2008.07

    京都大学大学院理学研究科 教務補佐員

  • 2008.04
    -
    2011.03

    京都大学高等教育研究開発推進機構, 非常勤講師

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Academic Background 【 Display / hide

  • 2000.03

    Kyoto University, 理学部, 数学科

    University, Graduated

  • 2003.03

    Kyoto University, 理学研究科, 数学・数理解析専攻

    Graduate School, Completed, Master's course

  • 2006.03

    Kyoto University, 理学研究科, 数学・数理解析専攻

    Graduate School, Completed, Doctoral course

Academic Degrees 【 Display / hide

  • 博士, Kyoto University, Coursework, 2006.03

 

Research Areas 【 Display / hide

  • Natural Science / Mathematical analysis (Global Analysis)

Research Keywords 【 Display / hide

  • 力学系、構造安定性、分岐、カオス、フラクタル、エルゴード理論、相転移、ディオファントス解析、測地流

 

Papers 【 Display / hide

  • Polynomial rate of mixing for the heterochaos baker maps with mostly neutral center

    Hiroki Takahasi, Masato Tsujii

    Journal of Dynamics and Differential Equations (Springer)   2025

    Research paper (scientific journal), Joint Work, Accepted

  • Restricted slowly growing digits for infinite iterated function systems

    Gerardo Gonzalez Robert, Mumtaz Hussain, Nikita Shulga, Hiroki Takahasi

    Journal of Mathematical Analysis and Applications (Elsevier)   2025

    Research paper (scientific journal), Joint Work, Accepted

  • Distributions of periodic points for the heterochaos baker maps and the Dyck system

    Hiroki Takahasi

    Proceedings of the American Mathematical Society (American Mathematical Society)   2025

    Research paper (scientific journal), Single Work, Lead author, Accepted

  • Large deviations of homological growth rates for hyperbolic surfaces

    Johannes Jaerisch, Hiroki Takahasi

    Stochastics and Dynamics (World Scientific)   2025

    Research paper (scientific journal), Joint Work, Accepted

  • Ergodic optimization for continuous functions on non-Markov shifts

    Mao Shinoda, Hiroki Takahasi, Kenichiro Yamamoto

    Ergodic Theory and Dynamical Systems (Cambridge University Press)   2025

    Research paper (scientific journal), Accepted

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Papers, etc., Registered in KOARA 【 Display / hide

Reviews, Commentaries, etc. 【 Display / hide

  • Henon写像の力学系

    TAKAHASI HIROKI

    数学 (日本数学会)   2020

    Article, review, commentary, editorial, etc. (scientific journal), Single Work

Presentations 【 Display / hide

  • Large deviation principles for countable Markov shifts and the uniqueness of minimizer

    TAKAHASI HIROKI

    エルゴード理論とその周辺, 

    2018.11

    Oral presentation (general)

  • 力学系の大偏差原理とその応用

    TAKAHASI HIROKI

    京都大学人間環境学研究科談話会, 

    2018.11

    Oral presentation (invited, special)

  • On asymptotics of continued fraction digits

    TAKAHASI HIROKI

    dynamical systems seminar (Universite de la Nouvelle-Caledonie, France) , 

    2018.10

    Oral presentation (invited, special)

  • Large deviation principle for arithmetic mean of digits in continued fraction expansion

    TAKAHASI HIROKI

    日本数学会秋期総合分科会 (岡山大学) , 

    2018.09

    Oral presentation (general)

  • Large deviation principle for arithmetic functions in continued fraction expansion

    TAKAHASI HIROKI

    ICM Satellite Conference on Dynamical Systems and Related Topics (Salvador (Brazil)) , 

    2018.08

    Oral presentation (invited, special)

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Research Projects of Competitive Funds, etc. 【 Display / hide

  • ランダム・サイクルを骨格とする新しい力学系理論の構築と展開

    2025.06
    -
    2028.03

    文部科学省・日本学術振興会, 科学研究費助成事業, 挑戦的研究(萌芽), Research grant, Principal investigator

  • 大偏差原理に基づくカオス力学系の構造解析

    2020.04
    -
    2025.03

    MEXT,JSPS, Grant-in-Aid for Scientific Research, 基盤研究B, Research grant, Principal investigator

  • 漸近双曲性とYoccoz's puzzleを用いたPalis予想解決への挑戦

    2019.06
    -
    2022.03

    MEXT,JSPS, Grant-in-Aid for Scientific Research, Grant-in-Aid for Challenging Research (Exploratory) , Principal investigator

  • 力学系とスケール極限を用いた異常拡散の探索と拡散制御理論の構築

    2016.07
    -
    2019.03

    Grant-in-Aid for Scientific Research, 基盤研究B 特設分野 連携探索型数理科学, Principal investigator

  • 熱力学形式によるエノン写像の分岐の解明

    2015.04
    -
    2019.03

    Grant-in-Aid for Scientific Research, 若手研究A, Principal investigator

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Courses Taught 【 Display / hide

  • REAL ANALYSIS 2 AND ITS EXERCISE

    2025

  • INDEPENDENT STUDY ON FUNDAMENTAL SCIENCE AND TECHNOLOGY

    2025

  • GRADUATE RESEARCH ON FUNDAMENTAL SCIENCE AND TECHNOLOGY 2

    2025

  • GRADUATE RESEARCH ON FUNDAMENTAL SCIENCE AND TECHNOLOGY 1

    2025

  • FOUNDATION FOR MATHEMATICAL SCIENCE 2

    2025

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Courses Previously Taught 【 Display / hide

  • 微分積分学

    京都大学

    2018.04
    -
    2019.03

  • 線型代数学

    京都大学

    2018.04
    -
    2019.03

  • 線型代数学

    京都教育大学

    2018.04
    -
    2019.03

  • 線型代数学続論

    京都大学

    2018.04
    -
    2019.03

  • 現代幾何学

    京都教育大学

    2018.04
    -
    2019.03

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Social Activities 【 Display / hide

  • 集中講義(九州大学)

    2019.04
  • 集中講義(京都大学)

    2018.11
  • 集中講義(首都大学東京)

    2017.06
  • 集中講義(大阪大学)

    2015.11
  • 集中講義(神戸大学)

    2015.01

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Memberships in Academic Societies 【 Display / hide

  • 日本数学会