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 (46)：

Hiroki Takahasi. The distribution of the largest digit for parabolic Iterated Function Systems of the interval. arXiv:2411.18297. 2024
Hiroki Takahasi. Distributions of periodic points for the heterochaos baker maps and the Dyck shift. arXiv:2409.01261. 2024
Hiroki Takahasi, Masato Tsujii. Polynomial rate of mixing for the heterochaos baker maps with mostly neutral center. arXiv:2408.16618. 2024
Mao Shinoda, Hiroki Takahasi, Kenichiro Yamamoto. Ergodic optimization for continuous functions on the Dyck-Motzkin shifts. arXiv:2406.19828. 2024
Mao Shinoda, Hiroki TAKAHASI, Kenichiro Yamamoto. Ergodic optimization for continuous functions on non-Markov shifts. arXiv:2406.01123. 2024

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MISC (1)：

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)

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Professional career (1)：

Association Membership(s) (1)：

日本数学会

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