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Affiliation
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Faculty of Science and Technology, Department of Mathematics (Yagami)
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Position
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Associate Professor
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Takahashi, Hiroki
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IMPA(純粋・応用数学研究所, ブラジル)客員研究員
京都大学大学院理学研究科 GCOE研究員
聖母女学院短期大学, 非常勤講師
京都大学大学院理学研究科 教務補佐員
京都大学高等教育研究開発推進機構, 非常勤講師
Kyoto University, 理学部, 数学科
University, Graduated
Kyoto University, 理学研究科, 数学・数理解析専攻
Graduate School, Completed, Master's course
Kyoto University, 理学研究科, 数学・数理解析専攻
Graduate School, Completed, Doctoral course
Natural Science / Mathematical analysis (Global Analysis)
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) 74 129 - 150 2022
Research paper (scientific journal), Joint Work, Accepted
Large deviation principle for the backward continued fraction expansion
Hiroki Takahasi
Stochastic Processes and Their Applications (Elsevier) 2022
Research paper (scientific journal), 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) 385 2021
Research paper (scientific journal), Joint Work, Accepted
Piecewise linear maps with heterogeneous chaos
Yoshitaka Saiki, Hiroki Takahasi, James Yorke
Nonlinearity (IOP Science) 34 5744 - 5761 2021
Research paper (scientific journal), Accepted
Exploration of anomalous diffusion phenomena by means of dynamical systems theory and scaling limits
Takahashi, Hiroki
科学研究費補助金研究成果報告書 2019
Thermodynamic formalism for the Henon map at the first bifurcation
Takahashi, Hiroki
科学研究費補助金研究成果報告書 2014
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
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,
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,
Oral presentation (invited, special)
On asymptotics of continued fraction digits
TAKAHASI HIROKI
dynamical systems seminar (Universite de la Nouvelle-Caledonie, France) ,
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) ,
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)) ,
Oral presentation (invited, special)
大偏差原理に基づくカオス力学系の構造解析
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
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
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
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
Grant-in-Aid for Scientific Research, 若手研究B, Principal investigator
INDEPENDENT STUDY ON FUNDAMENTAL SCIENCE AND TECHNOLOGY
2022
GRADUATE RESEARCH ON FUNDAMENTAL SCIENCE AND TECHNOLOGY 2
2022
GRADUATE RESEARCH ON FUNDAMENTAL SCIENCE AND TECHNOLOGY 1
2022
FUNCTIONAL EQUATIONS 2
2022
BACHELOR'S THESIS
2022
微分積分学
京都大学
線型代数学
京都大学
線型代数学
京都教育大学
線型代数学続論
京都大学
現代幾何学
京都教育大学
集中講義(九州大学)
集中講義(京都大学)
集中講義(首都大学東京)
集中講義(大阪大学)
集中講義(神戸大学)