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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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Professor
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External Links
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Takahashi, Hiroki
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Career 【 Display / hide 】
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2006.04-2007.06
IMPA（純粋・応用数学研究所, ブラジル）客員研究員
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2007.07-2008.03
京都大学大学院理学研究科 GCOE研究員
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2007.10-2008.03
聖母女学院短期大学, 非常勤講師
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2008.04-2008.07
京都大学大学院理学研究科 教務補佐員
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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
Academic Background 【 Display / hide 】
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2000.03
Kyoto University, 理学部, 数学科
University, Graduated
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2003.03
Kyoto University, 理学研究科, 数学・数理解析専攻
Graduate School, Completed, Master's course
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2006.03
Kyoto University, 理学研究科, 数学・数理解析専攻
Graduate School, Completed, Doctoral course
Research Areas 【 Display / hide 】
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Natural Science / Mathematical analysis (Global Analysis)
Papers 【 Display / hide 】
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Heterochaos baker maps and the Dyck system: maximal entropy measures and a mechanism for the breakdown of entropy approachability
高橋博樹, 山本謙一郎
Proceedings of the American Mathematical Society （American Mathematical Society) 2023
Research paper (scientific journal), Accepted
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Level-2 large deviation principle for countable Markov shifts without Gibbs states
高橋 博樹
Journal of Statistical Physics （Springer) 2023
Research paper (scientific journal), Accepted
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The twisted baker map
Yoshitaka Saiki, Hiroki Takahasi, James A. Yorke
Nonlinearity （IOP Science) 2023
Research paper (scientific journal), Joint Work, Accepted
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Hausdorff dimension of Cantor intersections and robust heterodimensional cycles for heterochaos horseshoe maps
Yoshitaka Saiki, Hiroki Takahasi, James A. Yorke
SIAM Journal on Applied Dynamical Systems （SIAM) 2023
Research paper (scientific journal), Joint Work, Accepted
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Distribution of cycles for one-dimensional random dynamical systems
鈴木新太郎, 高橋博樹
Journal of Mathematical Analysis and Applications （Elsevier) 2023
Research paper (scientific journal), Accepted
Papers, etc., Registered in KOARA 【 Display / hide 】
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Global structures and ergodic properties of heterogeneous chaos
Takahasi, Hiroki
学事振興資金研究成果実績報告書 （慶應義塾大学) 2019
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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
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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
Reviews, Commentaries, etc. 【 Display / hide 】
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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
Presentations 【 Display / hide 】
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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)
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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 (invited, special)
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On asymptotics of continued fraction digits
TAKAHASI HIROKI
dynamical systems seminar (Universite de la Nouvelle-Caledonie, France) ,
2018.10,Oral presentation (invited, special)
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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)
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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 (invited, special)
Research Projects of Competitive Funds, etc. 【 Display / hide 】
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大偏差原理に基づくカオス力学系の構造解析
2020.04-2025.03MEXT,JSPS, Grant-in-Aid for Scientific Research, 基盤研究B, Research grant, Principal investigator
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漸近双曲性とYoccoz's puzzleを用いたPalis予想解決への挑戦
2019.06-2022.03MEXT,JSPS, Grant-in-Aid for Scientific Research, Grant-in-Aid for Challenging Research (Exploratory) , Principal investigator
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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
2016.07-2019.03Grant-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
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熱力学形式によるエノン写像の分岐の解明
2015.04-2019.03Grant-in-Aid for Scientific Research, 若手研究A, Principal investigator
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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
2011.04-2015.03Grant-in-Aid for Scientific Research, 若手研究B, Principal investigator
Courses Taught 【 Display / hide 】
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TOPICS IN PROBABILITY THEORY B
2024
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REAL ANALYSIS 2 AND ITS EXERCISE
2024
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MATHEMATICS 1A
2024
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INDEPENDENT STUDY ON FUNDAMENTAL SCIENCE AND TECHNOLOGY
2024
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GRADUATE RESEARCH ON FUNDAMENTAL SCIENCE AND TECHNOLOGY 2
2024
Courses Previously Taught 【 Display / hide 】
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微分積分学
京都大学
2018.04-2019.03 -
線型代数学
京都大学
2018.04-2019.03 -
線型代数学
京都教育大学
2018.04-2019.03 -
線型代数学続論
京都大学
2018.04-2019.03 -
現代幾何学
京都教育大学
2018.04-2019.03
Social Activities 【 Display / hide 】
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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