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J-GLOBAL ID：201201071060721660   Update date: Apr. 16, 2025

Hiroki Takahasi

タカハシ ヒロキ | Hiroki Takahasi
Affiliation and department：
Keio University Faculty of Science and Technology Department of Mathematics

About Keio University Faculty of Science and Technology Department of Mathematics


Job title： Professor
Research field  (1)： Mathematical analysis
Research keywords  (1)： 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
Research theme for competitive and other funds  (5)：
  • 2020 - 2025 大偏差原理に基づくカオス力学系の構造解析
  • 2019 - 2022 漸近双曲性とYoccoz's puzzleを用いたPalis予想解決への挑戦
  • 2016 - 2019 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
  • 2015 - 2019 熱力学形式によるエノン写像の分岐の解明
  • 2011 - 2015 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
Papers (49)：
  • Yuto Nakajima, Hiroki Takahasi. A problem of Hirst for the Hurwitz continued fraction and the Hausdorff dimension of sets with restricted slowly growing digits. arXiv:2504.11144. 2025
  • Hiroki Takahasi. Large Deviation Principles for periodic points of the Dyck shift. arXiv:2503.14164. 2025
  • Yuto Nakajima, Hiroki Takahasi. Fractal counterparts of density combinatorics theorems in continued fractions. arXiv:2502.10902. 2025
  • Gerardo González Robert, Mumtaz Hussain, Nikita Shulga, Hiroki TAKAHASI. Infinite iterated function systems with restricted slowly growing digits. Journal of Mathematical Analysis and Applications. 2025
  • Hiroki Takahasi. The distribution of the largest digit for parabolic Iterated Function Systems of the interval. arXiv:2411.18297. 2024
ｍore...
MISC (1)：
  • TAKAHASI HIROKI. Henon写像の力学系. 数学. 2020
Lectures and oral presentations  (117)：
  • Large deviation principles for countable Markov shifts and the uniqueness of minimizer
    (エルゴード理論とその周辺 2018)
  • 力学系の大偏差原理とその応用
    (京都大学人間環境学研究科談話会 2018)
  • On asymptotics of continued fraction digits
    (dynamical systems seminar 2018)
  • Large deviation principle for arithmetic mean of digits in continued fraction expansion
    (日本数学会秋期総合分科会 2018)
  • Large deviation principle for arithmetic functions in continued fraction expansion
    (ICM Satellite Conference on Dynamical Systems and Related Topics 2018)
ｍore...
Professional career (1)：
  • 博士 (Kyoto University)
Association Membership(s) (1)：
日本数学会
※ Researcher’s information displayed in J-GLOBAL is based on the information registered in researchmap. For details, see here.

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