Hiroki Takahasi

タカハシヒロキ | Hiroki Takahasi

Affiliation and department：
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 (12)：

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Papers (39)：

高橋博樹, 山本謙一郎. Heterochaos baker maps and the Dyck system: Maximal entropy measures and a mechanism for the breakdown of entropy approachability. Proceedings of the American Mathematical Society. 2023
高橋博樹. Level-2 large deviation principle for countable Markov shifts without Gibbs states. Journal of Statistical Physics. 2023. 190
Hiroki Takahasi. Exponential mixing for heterochaos baker maps and the Dyck system. arXiv:2307.08119. 2023
Johannes Jaerisch, Hiroki Takahasi. Large deviations of homological growth rates for hyperbolic surfaces. arXiv:2306.10665. 2023
Yuto Nakajima, Hiroki Takahasi. The dimension theory of semi-regular continued fractions. arXiv:2209.08318. 2023

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MISC (1)：

Lectures and oral presentations (118)：

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)

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Professional career (1)：

Association Membership(s) (1)：

日本数学会

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