Takahashi, Hiroki

写真a

Affiliation

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

Position

Associate Professor

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

    日本, Graduate School, Completed, Doctoral course

Academic Degrees 【 Display / hide

  • 博士, Kyoto University, Coursework, 2006.03

 

Research Areas 【 Display / hide

  • 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

  • Large deviation principle for S-unimodal maps with flat critical points

    Yong Moo Chung, Hiroki Takahasi

    Journal of the Mathematical Society of Japan (Mathematical Society of Japan)   2021

    Research paper (scientific journal), Joint Work, Accepted

  • Hausdorff dimension of sets with restricted, slowly growing partial quotients

    Hiroki Takahasi

    Proceedings of the American Mathematical Society (American Mathematical Society)   2021

    Research paper (scientific journal), Single Work, Accepted

  • Mixed multifractal spectra of Birkhoff averages for non-uniformly expanding one-dimensional Markov maps with countably many branches

    Johannes Jaerisch, Hiroki Takahasi

    Advances in Mathematics (Elsevier)   2021

    Research paper (scientific journal), Joint Work, Accepted

  • Piecewise linear maps with heterogeneous chaos

    Yoshitaka Saiki, Hiroki Takahasi, James Yorke

    Nonlinearity (IOP Science)   2021

    Research paper (scientific journal), Accepted

  • Precise asymptotics on the Birkhoff sums for dynamical systems

    Lulu Fang, Hiroki Takahasi, Yiwei Zhang

    Nonlinearity (IOP Science)   2021

    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

    Introduction and explanation (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(guest/special)

  • On asymptotics of continued fraction digits

    TAKAHASI HIROKI

    dynamical systems seminar (Universite de la Nouvelle-Caledonie, France) , 2018.10, Oral Presentation(guest/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(guest/special)

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

  • 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

  • 統計力学的手法によるエノン写像の大域分岐問題の研究

    2011.04
    -
    2015.03

    Grant-in-Aid for Scientific Research, 若手研究B, Principal Investigator

 

Courses Taught 【 Display / hide

  • INDEPENDENT STUDY ON FUNDAMENTAL SCIENCE AND TECHNOLOGY

    2021

  • GRADUATE RESEARCH ON FUNDAMENTAL SCIENCE AND TECHNOLOGY 2

    2021

  • GRADUATE RESEARCH ON FUNDAMENTAL SCIENCE AND TECHNOLOGY 1

    2021

  • FUNCTIONAL EQUATIONS 2

    2021

  • BACHELOR'S THESIS

    2021

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Courses Previously Taught 【 Display / hide

  • 微分積分学

    京都大学, 2018

  • 線型代数学

    京都大学, 2018

  • 線型代数学

    京都教育大学, 2018

  • 線型代数学続論

    京都大学, 2018

  • 現代幾何学

    京都教育大学, 2018

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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