TAKAHASHI Hiroki 高橋博樹

… Alternative Names

TAKAHASI Hiroki 高橋博樹

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Researcher Number	00467440
Other IDs
Affiliation (Current)	2025: 慶應義塾大学, 理工学部(矢上), 教授
Affiliation (based on the past Project Information) *help	2022 – 2025: 慶應義塾大学, 理工学部(矢上), 教授 2016 – 2022: 慶應義塾大学, 理工学部(矢上), 准教授 2017: 慶応義塾大学, 理工学部, 准教授 2015: 慶應義塾大学, 理工学部, 准教授 2013 – 2015: 慶應義塾大学, 理工学部, 講師 2012: 京都大学, 工学(系)研究科(研究院), 講師 2011: 東京大学, 生産技術研究所, 民間等共同研究員
Review Section/Research Field	Principal Investigator Medium-sized Section 12:Analysis, applied mathematics, and related fields / Basic Section 12010:Basic analysis-related / Mathematical Sciences in Search of New Cooperation / Basic analysis / Global analysis Except Principal Investigator Sections That Are Subject to Joint Review: Basic Section12030:Basic mathematics-related , Basic Section12040:Applied mathematics and statistics-related / Basic Section 12030:Basic mathematics-related / Basic Section 12040:Applied mathematics and statistics-related / Medium-sized Section 12:Analysis, applied mathematics, and related fields / Foundations of mathematics/Applied mathematics / Global analysis
Keywords	Principal Investigator 力学系 / 可算マルコフシフト / カオス / 大偏差原理 / エルゴード理論 / 双曲性 / エノン写像 / 周期軌道 / エルゴード最適化 / 熱力学形式 … More / 分岐 / 不変確率測度 / 連分数展開 / 連分数 / 測地流 / カオス力学系 / カオス・フラクタル / マルチフラクタル解析 / Palis予想 / ロジスティック写像 / 単峰写像 / 漸近双曲性 / 拡散制御理論 / 非一様双曲力学系 / スケール極限 / 異常拡散 / 平衡状態 / アメリカ / 国際情報交換 / 韓国 / 国際研究者交流 … More Except Principal Investigator 力学系 / 流体乱流 / 間欠性 / カオス / 分岐 / カオス的サドル / 流体力学 / reservoir computing / turbulence / hetero chaos / nonhyperbolicity / dynamical system / 制御 / リザーバーコンピューティング / 周期軌道 / 非双曲ダイナミクス / データ駆動モデリング / 機械学習 / 非双曲力学系 / 微分方程式 / データ駆動科学 / 数値計算 / ヘテロカオス / ヘテロ次元サイクル / 高次元ダイナミクス / ネットワーク / 生命科学 / 位相計算 / 気象学 / 時系列 / 計算機援用解析 / トポロジー / 力学系理論 / マルチフラクタル解析 / 可微分力学系 / マルチフラクタル / 大偏差原理 Less

ランダム・サイクルを骨格とする新しい力学系理論の構築と展開Principal Investigator
- Principal Investigator
  
  高橋博樹
- Project Period (FY)
  2025 – 2027
- Research Category
  
  Grant-in-Aid for Challenging Research (Exploratory)
- Review Section
  
  Medium-sized Section 12:Analysis, applied mathematics, and related fields
- Research Institution
  Keio University
Large deviations analysis of chaotic dynamical systemsPrincipal Investigator
- Principal Investigator
  
  Takahasi Hiroki
- Project Period (FY)
  2024
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Keio University
New Developments in Fluid Dynamics Research Based on Dynamical Systems Theory
- Principal Investigator
  
  齊木吉隆
- Project Period (FY)
  2024 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 12040:Applied mathematics and statistics-related
  Basic Section 12030:Basic mathematics-related
  Sections That Are Subject to Joint Review: Basic Section12030:Basic mathematics-related , Basic Section12040:Applied mathematics and statistics-related
- Research Institution
  Hitotsubashi University
A Challenge to the resolution of Palis's conjecture by means of the asymptotic hyperbolicity and Yoccoz's puzzlePrincipal Investigator
- Principal Investigator
  
  Takahasi Hiroki
- Project Period (FY)
  2019 – 2023
- Research Category
  
  Grant-in-Aid for Challenging Research (Exploratory)
- Review Section
  
  Medium-sized Section 12:Analysis, applied mathematics, and related fields
- Research Institution
  Keio University
Intermittency due to hetero-chaotic property and its inference
- Principal Investigator
  
  SAIKI Yoshitaka
- Project Period (FY)
  2019 – 2024
- Research Category
  
  Fund for the Promotion of Joint International Research (Fostering Joint International Research (B))
- Review Section
  
  Medium-sized Section 12:Analysis, applied mathematics, and related fields
- Research Institution
  Hitotsubashi University
Exploration of anomalous diffusion phenomena by means of dynamical systems theory and scaling limitsPrincipal Investigator
- Principal Investigator
  
  Takahasi Hiroki
- Project Period (FY)
  2016 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Mathematical Sciences in Search of New Cooperation
- Research Institution
  Keio University
thermodynamic formalism and bifurcation of Henon mapsPrincipal Investigator
- Principal Investigator
  
  takahasi hiroki
- Project Period (FY)
  2015 – 2018
- Research Category
  
  Grant-in-Aid for Young Scientists (A)
- Research Field
  
  Basic analysis
- Research Institution
  Keio University
Development and Application of Topological Computation Theory for Dynamical Systems
- Principal Investigator
  
  Kokubu Hiroshi
- Project Period (FY)
  2013 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Foundations of mathematics/Applied mathematics
- Research Institution
  Kyoto University
Large deviation principle and multifractal analysis in dynamical systems
- Principal Investigator
  
  Chung Yong Moo
- Project Period (FY)
  2012 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Hiroshima University
Thermodynamic formalism for the Henon map at the first bifurcationPrincipal Investigator
- Principal Investigator
  
  TAKAHASI Hiroki
- Project Period (FY)
  2011 – 2014
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  Keio University
  Kyoto University
  The University of Tokyo

[Journal Article] Restricted slowly growing digits for infinite iterated function systems2025
- Author(s)
  Gerardo Gonzalez Robert, Mumtaz Hussain, Nikita Shulga and Hiroki Takahasi
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 549 Issue: 1 Pages: 129478-129478
- DOI
  10.1016/j.jmaa.2025.129478
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K20220
[Journal Article] Multifractal analysis of homological growth rates for hyperbolic surfaces2025
- Author(s)
  Johannes Jaerisch and Hiroki Takahasi
- Journal Title
  
  Ergodic Theory and Dynamical Systems
  
  Volume: 45 Issue: 3 Pages: 849-883
- DOI
  10.1017/etds.2024.62
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20220, KAKENHI-PROJECT-21K03269, KAKENHI-PROJECT-24K00526, KAKENHI-PROJECT-24K06777
[Journal Article] Exponential Mixing for Heterochaos Baker Maps and the Dyck System2024
- Author(s)
  Takahasi Hiroki
- Journal Title
  
  Journal of Dynamics and Differential Equations
  
  Volume: - Issue: 3 Pages: 2409-2436
- DOI
  10.1007/s10884-024-10370-x
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K20220
[Journal Article] Hausdorff dimension of Cantor intersections and robust heterodimensional cycles for heterochaos horseshoe maps2023
- Author(s)
  Yoshitaka Saiki, Hiroki Takahasi, James A. Yorke
- Journal Title
  
  SIAM Journal on Applied Dynamical Systems
  
  Volume: -
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K21835
[Journal Article] Hausdorff Dimension of Cantor Intersections and Robust Heterodimensional Cycles for Heterochaos Horseshoe Maps2023
- Author(s)
  Saiki Yoshitaka、Takahasi Hiroki、Yorke James A.
- Journal Title
  
  SIAM Journal on Applied Dynamical Systems
  
  Volume: 22 Issue: 3 Pages: 1852-1876
- DOI
  10.1137/22m1504986
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19KK0067, KAKENHI-PUBLICLY-23H04465
[Journal Article] Statistical properties of periodic points for infinitely renormalizable unimodal maps2023
- Author(s)
  Hiroki Takahasi
- Journal Title
  
  Nonlinearity
  
  Volume: 35 Pages: 6399-6421
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K21835
[Journal Article] Heterochaos baker maps and the Dyck system: maximal entropy measures and a mechanism for the breakdown of entropy approachability2023
- Author(s)
  Hiroki Takahasi, Kenichiro Yamamoto
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K21835
[Journal Article] The twisted baker map2023
- Author(s)
  Saiki Yoshitaka、Takahasi Hiroki、Yorke James A
- Journal Title
  
  Nonlinearity
  
  Volume: 36 Issue: 3 Pages: 1776-1788
- DOI
  10.1088/1361-6544/acb4d3
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19KK0067
[Journal Article] Hausdorff dimension of Cantor intersections and robust heterodimensional cycles for heterochaos horseshoe maps2023
- Author(s)
  Saiki Yoshitaka、Takahasi Hiroki、Yorke James A
- Journal Title
  
  SIAM Journal on Applied Dynamical Systems, 印刷中
  
  Volume: -
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19KK0067
[Journal Article] The twisted baker map2023
- Author(s)
  Yoshitaka Saiki, Hiroki Takahasi, James A. Yorke
- Journal Title
  
  Nonlinearity
  
  Volume: 36 Pages: 1776-1788
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K21835
[Journal Article] Large deviation principle for S-unimodal maps with flat critical points2022
- Author(s)
  Yong Moo Chung, Hiroki Takahasi
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: 74 Pages: 129-150
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K20220
[Journal Article] Statistical properties of periodic points for infinitely renormalizable unimodal maps2022
- Author(s)
  Hiroki Takahasi
- Journal Title
  
  Nonlinearity
  
  Volume: 35 Pages: 6399-6421
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K20220
[Journal Article] Large deviation principle for the backward continued fraction expansion2022
- Author(s)
  Hiroki Takahasi
- Journal Title
  
  Stochastic Processes and Their Applications
  
  Volume: 144 Pages: 153-172
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K20220
[Journal Article] Large deviation principle for the backward continued fraction expansion2022
- Author(s)
  Hiroki Takahasi
- Journal Title
  
  Stochastic Processes and Their Applications
  
  Volume: 144 Pages: 153-172
- DOI
  10.1016/j.spa.2021.11.002
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K21835
[Journal Article] Piecewise linear maps with heterogeneous chaos2021
- Author(s)
  Yoshitaka Saiki, Hiroki Takahasi, James A. Yorke
- Journal Title
  
  Nonlinearity
  
  Volume: 34 Pages: 5744-5761
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K20220
[Journal Article] Mixed multifractal spectra of Birkhoff averages for non-uniformly expanding one-dimensional Markov maps with countably many branches2021
- Author(s)
  Johannes Jaerisch, Hiroki Takahasi
- Journal Title
  
  Advances in Mathematics
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K20220
[Journal Article] Mixed multifractal spectra of Birkhoff averages for non-uniformly expanding one-dimensional Markov maps with countably many branches2021
- Author(s)
  Johannes Jaerisch, Hiroki Takahasi
- Journal Title
  
  Advances in Mathematics
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K21835
[Journal Article] Precise asymptotics on the Birkhoff sums for dynamical Systems2021
- Author(s)
  Lulu Fang, Hiroki Takahasi, Yiwei Zhang
- Journal Title
  
  Nonlinearity
  
  Volume: 34 Issue: 10 Pages: 7095-7108
- DOI
  10.1088/1361-6544/ac20a2
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K21835
[Journal Article] Precise asymptotic on the Birkhoff sums for dynamical systems2021
- Author(s)
  Lulu Fang, Hiroki Takahasi, Yiwei Zhang
- Journal Title
  
  Nonlinearity
  
  Volume: 34 Pages: 7095-7108
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K20220
[Journal Article] Hausdorff dimension of sets with restricted, slowly growing partial quotients2021
- Author(s)
  Hiroki Takahasi
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K21835
[Journal Article] Piecewise-linear maps with heterogeneous chaos2021
- Author(s)
  Y. Saiki, H. Takahasi and J. A. Yorke
- Journal Title
  
  Nonlinearity
  
  Volume: 34 Issue: 8 Pages: 5744-5761
- DOI
  10.1088/1361-6544/ac0d45
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19KK0067
[Journal Article] Large deviation principle for S-unimodal maps with flat critical points2021
- Author(s)
  Yong Moo Chung, Hiroki Takahasi
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K21835
[Journal Article] Uniqueness of minimizer for countable Markov shifts and equidistribution of periodic points2020
- Author(s)
  Hiroki Takahasi
- Journal Title
  
  Journal of Statistical Physics
  
  Volume: 181 Pages: 2415-2431
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K20220
[Journal Article] Entropy-approachability for transitive Markov shifts over infinite alphabet2020
- Author(s)
  Hiroki Takahasi
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16KT0021
[Journal Article] Uniqueness of minimizer for countable Markov shifts and equidistribution of periodic points2020
- Author(s)
  Hiroki Takahasi
- Journal Title
  
  Journal of Statistical Physics
  
  Volume: 181 Pages: 2415-2431
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K21835
[Journal Article] Entropy approachability for transitive Markov shifts over infinite alphabet2020
- Author(s)
  Hiroki Takahasi
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: 148 Pages: 3847-3857
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K20220
[Journal Article] Large deviations for denominators of continued fractions2020
- Author(s)
  Hiroki Takahasi
- Journal Title
  
  Nonlinearity
  
  Volume: 33 Pages: 5861-5874
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K20220
[Journal Article] Hausdorff dimension of sets with restricted, slowly growing partial quotients2020
- Author(s)
  Hiroki Takahasi
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K20220
[Journal Article] Large deviations for denominators of continued fractions2020
- Author(s)
  Hiroki Takahasi
- Journal Title
  
  Nonlinearity
  
  Volume: 33 Pages: 5861-5874
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K21835
[Journal Article] Large deviation principle for arithmetic functions in continued fraction expansion2019
- Author(s)
  Hiroki Takahasi
- Journal Title
  
  Monatshefte fur Mathematik
  
  Volume: 190 Pages: 137-152
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16KT0021
[Journal Article] Large deviation principles for countable Markov shifts2019
- Author(s)
  Hiroki Takahasi
- Journal Title
  
  Transactions of the American Mathematical Society
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15H05435
[Journal Article] Entropy-approachability for transitive Markov shifts over infinite alphabet2019
- Author(s)
  Hiroki Takahasi
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15H05435
[Journal Article] Large deviation principle in one-dimensional dynamics2019
- Author(s)
  Yong Moo Chung, Hiroki Takahasi, Juan Rivera-Letelier
- Journal Title
  
  Inventiones mathematicae
  
  Volume: 218 Pages: 853-888
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16KT0021
[Journal Article] Lyapunov optimization for non-generic one-dimensional expanding Markov maps2019
- Author(s)
  M. Shinoda, H. Takahasi
- Journal Title
  
  Ergodic Theory and Dynamical Systems
  
  Volume: 印刷中 Issue: 9 Pages: 2571-2592
- DOI
  10.1017/etds.2019.6
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16KT0021, KAKENHI-PROJECT-15H05435
[Journal Article] Large deviation principles for countable Markov shifts2019
- Author(s)
  H. Takahasi
- Journal Title
  
  Transactions of the American Mathematical Society
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16KT0021
[Journal Article] Entropy-approachability for transitive Markov shifts over infinite alphabet2019
- Author(s)
  H. Takahasi
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16KT0021
[Journal Article] Large deviation principles for countable Markov shifts2019
- Author(s)
  Hiroki Takahasi
- Journal Title
  
  Transactions of the American Mathematical Society
  
  Volume: 372 Pages: 7831-7855
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16KT0021
[Journal Article] Boundary of the horseshoe locus for the Henon family2018
- Author(s)
  Z. Arai, Y. Ishii, H. Takahasi
- Journal Title
  
  SIAM Journal on Applied Dynamical Systems
  
  Volume: 17 Issue: 3 Pages: 2234-2248
- DOI
  10.1137/18m1174684
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-16KT0021, KAKENHI-PROJECT-15H03627, KAKENHI-PROJECT-15H05435, KAKENHI-PROJECT-18H03671, KAKENHI-PROJECT-18H01138
[Journal Article] Lyapunov optimization for non-generic one-dimensional expanding Markov maps2017
- Author(s)
  Mao Shinoda, Hiroki Takahasi
- Journal Title
  
  Ergodic Theory and Dynamical Systems
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15H05435
[Journal Article] Birkhoff spectrum for Henon-like maps at the first bifurcation2016
- Author(s)
  Hiroki Takahasi
- Journal Title
  
  Dynamical Systems: An International Journal
  
  Volume: 31 Issue: 1 Pages: 41-59
- DOI
  10.1080/14689367.2015.1102201
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15H05435, KAKENHI-PROJECT-24540212
[Journal Article] Lyapunov spectrum for Henon-like maps at the first bifurcation2016
- Author(s)
  Hiroki Takahasi
- Journal Title
  
  Ergodic Theory and Dynamical Systems
  
  Volume: to appear
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15H05435
[Journal Article] Equilibrium measures for the Henon map at the first bifurcation: uniqueness and geometric/statistical properties2016
- Author(s)
  Senti, Samuel; Takahasi, Hiroki
- Journal Title
  
  Ergodic Theory and Dynamical Systems
  
  Volume: 36 Issue: 1 Pages: 215-255
- DOI
  10.1017/etds.2014.61
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24540212
[Journal Article] Equilibrium measures at temperature zero for Henon-like maps at the first bifurcation2016
- Author(s)
  Hiroki Takahasi
- Journal Title
  
  SIAM Journal on Applied Dynamical Systems
  
  Volume: 15 Issue: 1 Pages: 106-124
- DOI
  10.1137/15m1015741
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15H05435, KAKENHI-PROJECT-24540212
[Journal Article] Removal of phase transition in the Chebyshev quadratic and thermodynamics for Henon-like maps near the first bifurcation2016
- Author(s)
  Hiroki Takahasi
- Journal Title
  
  Journal of Statistical Physics
  
  Volume: 164 Issue: 6 Pages: 1354-1378
- DOI
  10.1007/s10955-016-1584-y
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15H05435, KAKENHI-PROJECT-16KT0021
[Journal Article] Equilibrium measures for the Henon map at the first bifurcation: uniqueness and geometric/statistical properties2015
- Author(s)
  Samuel Senti, Hiroki Takahasi
- Journal Title
  
  Ergodic Theory and Dynamical Systems
  
  Volume: to appear
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-23740121
[Journal Article] Equilibrium measures for the Henon map at the first bifurcation: uniqueness and geometric/statistical properties2014
- Author(s)
  Samuel Senti and Hiroki Takahasi
- Journal Title
  
  Ergodic Theory and Dynamical Systems
  
  Volume: 掲載予定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740121
[Journal Article] Equilibrium measures for the Henon map at the first bifurcation2013
- Author(s)
  Samuel Senti and Hiroki Takahasi
- Journal Title
  
  Nonlinearity
  
  Volume: 26 Issue: 6 Pages: 1719-1741
- DOI
  10.1088/0951-7715/26/6/1719
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740121
[Journal Article] Multifractal formalism for Benedicks-Carleson quadratic maps2013
- Author(s)
  Yong Moo Chung and Hiroki Takahasi
- Journal Title
  
  Ergodic Theory and Dynamical Systems
  
  Volume: published online Issue: 4 Pages: 1-26
- DOI
  10.1017/etds.2012.188
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740121, KAKENHI-PROJECT-24540212
[Journal Article] Statistical Properties of Nonuniformly Expanding 1d Maps with Logarithmic Singularities2012
- Author(s)
  Hiroki Takahasi
- Journal Title
  
  Noninearity
  
  Volume: 25 Issue: 2 Pages: 551-567
- DOI
  10.1088/0951-7715/25/2/551
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740121
[Journal Article] Large deviation principle for Benedicks-Carleson quadratic maps2012
- Author(s)
  Yong Moo Chung, Hiroki Takahasi
- Journal Title
  
  Communications in Mathematical Physics
  
  Volume: 315 Issue: 3 Pages: 803-826
- DOI
  10.1007/s00220-012-1540-x
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540212
[Journal Article] Large Deviation Principle for Benedicks-Carleson Quadratic Maps2012
- Author(s)
  Hiroki Takahasi and Yong Moo Chung
- Journal Title
  
  Communications in Mathematical Physics
  
  Volume: in press
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740121
[Journal Article] Nonuniformly Expanding 1d Maps with Logarithmic Singularities2012
- Author(s)
  Hiroki Takahasi and Qiudong Wang
- Journal Title
  
  Nonlinearity
  
  Volume: 25 Issue: 2 Pages: 533-550
- DOI
  10.1088/0951-7715/25/2/533
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740121
[Journal Article] Prevalent Dynamics at the First Bifurcation of Henon-like Families2012
- Author(s)
  Hiroki Takahasi
- Journal Title
  
  Communications in Mathematical Physics
  
  Volume: 312 Issue: 1 Pages: 37-85
- DOI
  10.1007/s00220-012-1442-y
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740121
[Presentation] Statistical properties of heterochaos baker maps2023
- Author(s)
  Hiroki Takahasi
- Organizer
  International Workshop on Ergodic Theory, Dynamical Systems, and Climate Sciences
- Data Source
  KAKENHI-PROJECT-19K21835
[Presentation] On intrinsic ergodicity of heterochaos baker maps and exponential mixing for the Dyck system2023
- Author(s)
  Hiroki Takahasi
- Organizer
  From KAM Tori to ETFs
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K21835
[Presentation] Level-2 large deviation principle for countable Markov shifts without Gibbs states2023
- Author(s)
  高橋博樹
- Organizer
  2022年度冬の力学系研究集会
- Data Source
  KAKENHI-PROJECT-19K21835
[Presentation] Statistical properties of heterochaos baker maps2022
- Author(s)
  高橋博樹
- Organizer
  2022年度エルゴード理論研究集会
- Data Source
  KAKENHI-PROJECT-19K21835
[Presentation] あるpiecewise/partially hyperbolicな力学系の最大エントロピー測度について2022
- Author(s)
  高橋博樹
- Organizer
  RIMS共同研究力学系の理論と諸分野への応用
- Data Source
  KAKENHI-PROJECT-19K21835
[Presentation] Multifractal analysis of the backward continued fraction expansion2021
- Author(s)
  高橋博樹
- Organizer
  エルゴード理論の最近の発展
- Invited
- Data Source
  KAKENHI-PROJECT-23K20220
[Presentation] Hausdorff dimension of sets with restricted, slowly growing partial quotients2021
- Author(s)
  高橋博樹
- Organizer
  エルゴード理論の最近の発展
- Invited
- Data Source
  KAKENHI-PROJECT-23K20220
[Presentation] Distribution of random cycles for random uniformly expanding interval maps2021
- Author(s)
  高橋博樹
- Organizer
  ランダム力学系および多価写像力学系理論の総合的研究
- Invited
- Data Source
  KAKENHI-PROJECT-23K20220
[Presentation] 負型連分数の大偏差原理とレート関数の構造について2020
- Author(s)
  高橋博樹
- Organizer
  冬の力学系研究集会
- Data Source
  KAKENHI-PROJECT-16KT0021
[Presentation] 負型連分数の大偏差原理2020
- Author(s)
  高橋博樹
- Organizer
  数論とエルゴード理論
- Data Source
  KAKENHI-PROJECT-16KT0021
[Presentation] Large deviation principle for arithmetic mean of continued fraction expansion2019
- Author(s)
  Hiroki Takahasi
- Organizer
  Dynamics seminar
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K21835
[Presentation] Statistics of periodic orbits for infinitely renormalizable S-unimodal maps2019
- Author(s)
  高橋博樹
- Organizer
  エルゴード理論とその周辺
- Data Source
  KAKENHI-PROJECT-19K21835
[Presentation] Existence of large deviations rate function for any S-unimodal map2019
- Author(s)
  高橋博樹
- Organizer
  ランダム力学系理論とフラクタル幾何学の研究
- Invited
- Data Source
  KAKENHI-PROJECT-16KT0021
[Presentation] 可算マルコフシフトの大偏差原理2018
- Author(s)
  高橋博樹
- Organizer
  冬の力学系研究集会
- Data Source
  KAKENHI-PROJECT-15H05435
[Presentation] Large deviation principles for countable Markov shifts2018
- Author(s)
  H Takahasi
- Organizer
  The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Invited
- Data Source
  KAKENHI-PROJECT-15H05435
[Presentation] Large deviation principle for arithmetic mean of digits in continued fraction expansion2018
- Author(s)
  高橋博樹
- Organizer
  日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-15H05435
[Presentation] Large deviation principle for arithmetic functions in continued fraction expansion2018
- Author(s)
  H. Takahasi
- Organizer
  ICM Satellite conference on Dynamical Systems and Related Topics
- Invited
- Data Source
  KAKENHI-PROJECT-15H05435
[Presentation] non-recurrentでflatな臨界点を持つ区間力学系の大偏差原理とレート関数の零点の構造について2017
- Author(s)
  高橋博樹
- Organizer
  九州力学系セミナー
- Data Source
  KAKENHI-PROJECT-15H05435
[Presentation] Lyapunov optimizing measures of non-generic one-dimensional expanding Markov maps2017
- Author(s)
  高橋博樹
- Organizer
  日本数学会秋期総合分科会統計数学分科会
- Data Source
  KAKENHI-PROJECT-15H05435
[Presentation] Lyapunov optimizing measures of non-generic one-dimensional expanding Markov maps2017
- Author(s)
  高橋博樹
- Organizer
  NCTS Workshop on Dynamical Systems
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H05435
[Presentation] Lyapunov optimizing measures of non-generic one-dimensional expanding Markov maps2017
- Author(s)
  高橋博樹
- Organizer
  Dynamical Systems Seminar
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H05435
[Presentation] 連分数展開の大偏差原理2017
- Author(s)
  高橋博樹
- Organizer
  数論とエルゴード理論
- Data Source
  KAKENHI-PROJECT-16KT0021
[Presentation] 区間力学系の大偏差原理とレート関数の零点の構造について2017
- Author(s)
  高橋博樹
- Organizer
  確率論シンポジウム
- Data Source
  KAKENHI-PROJECT-16KT0021
[Presentation] Kyoto Dynamics Days: Random Dynamical Systems Theory and Its Applications2017
- Author(s)
  高橋博樹
- Organizer
  Lyapunov optimizing measures of non-generic one-dimensional expanding Markov maps
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H05435
[Presentation] Removal of the phase transition of 1-2x^2 on [-1,1] and the thermodynamics of the Henon map at the first bifurcation2016
- Author(s)
  高橋博樹
- Organizer
  日本数学会秋期総合分科会（統計数学）
- Place of Presentation
  関西大学（大阪府・吹田市）
- Data Source
  KAKENHI-PROJECT-15H05435
[Presentation] Flatness-induced phase transition in Lyapunov spectrum for unimodal maps2016
- Author(s)
  高橋博樹
- Organizer
  九州力学系セミナー
- Place of Presentation
  九州大学（福岡県・福岡市）
- Data Source
  KAKENHI-PROJECT-15H05435
[Presentation] Removal of the phase transition of 1-2x^2 on [-1,1] and the thermodynamics of the Henon map at the first bifurcation2016
- Author(s)
  高橋博樹
- Organizer
  STATPHYS2016
- Place of Presentation
  リヨン（フランス）
- Year and Date
  2016-07-18
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H05435
[Presentation] Removable of the phase transition of 1-2x^2 on [-1, 1] and theormodynamics of the Henon map at the first bifurcation2016
- Author(s)
  高橋博樹
- Organizer
  冬の力学系研究集会
- Place of Presentation
  日本大学軽井沢研修所
- Year and Date
  2016-01-11
- Invited
- Data Source
  KAKENHI-PROJECT-24540212
[Presentation] Flatness-induced phase transition in Lyapunov spectrum for unimodal maps2016
- Author(s)
  高橋博樹
- Organizer
  エルゴード理論研究集会
- Place of Presentation
  筑波大学（茨城県・つくば市）
- Data Source
  KAKENHI-PROJECT-16KT0021
[Presentation] Flatness-induced phase transition in Lyapunov spectrum for unimodal maps2016
- Author(s)
  高橋博樹
- Organizer
  Dynamics Seminar
- Place of Presentation
  武漢（中国）
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16KT0021
[Presentation] Lower estimate of the Hausdorff dimension of the set of zero Lyapunov exponent for non-recurrent unimodal maps with flat critical point2016
- Author(s)
  高橋博樹
- Organizer
  力学系とその関連分野の連携探索
- Place of Presentation
  京都大学（京都府・京都市）
- Data Source
  KAKENHI-PROJECT-15H05435
[Presentation] Removal of phase transition of Chebyshev quadratic and thermodynamics of Henon-like maps near the first bifurcation2016
- Author(s)
  Hiroki Takahasi
- Organizer
  Fractal Geometry, Hyperbolic Dynamics and Thermodynamic Formalism
- Place of Presentation
  Providence（USA）
- Year and Date
  2016-03-07
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H05435
[Presentation] 区間力学系の大偏差原理について2016
- Author(s)
  鄭容武；高橋博樹；Juan Rivera-Letelier
- Organizer
  日本数学会年会
- Place of Presentation
  筑波大学
- Year and Date
  2016-03-16
- Data Source
  KAKENHI-PROJECT-24540212
[Presentation] Removal of the phase transition of 1-2x^2 on [-1,1] and the thermodynamics of the Henon map at the first bifurcation2016
- Author(s)
  高橋博樹
- Organizer
  Probability Seminar
- Place of Presentation
  ロチェスター（アメリカ）
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H05435
[Presentation] Flatness-induced phase transition in Lyapunov spectrum for unimodal maps2016
- Author(s)
  高橋博樹
- Organizer
  Dynamics Days Latin America and the Caribbeann
- Place of Presentation
  プエブラ（メキシコ）
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H05435
[Presentation] Large deviation principle in one-dimensional dynamics2016
- Author(s)
  高橋博樹
- Organizer
  Dynamics Seminar
- Place of Presentation
  武漢（中国）
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16KT0021
[Presentation] Escape rate for some non-uniformly hyperbolic one-dimensional map2015
- Author(s)
  Hiroki Takahasi
- Organizer
  NCTS Workshop on Dynamical Systems
- Place of Presentation
  Taipei（Taiwan）
- Year and Date
  2015-05-22
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H05435
[Presentation] ある非一様双曲的一次元写像の逃げ率公式について2015
- Author(s)
  高橋博樹
- Organizer
  力学系とその諸分野への応用
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2015-07-01
- Invited
- Data Source
  KAKENHI-PROJECT-24540212
[Presentation] Escape rate formula for some non-uniformly hyperbolic one-dimensional maps2015
- Author(s)
  Hiroki TAKAHASI
- Organizer
  NCTS Workshop on Dynamical Systems
- Place of Presentation
  NCTS, Taipei, Taiwan
- Year and Date
  2015-05-22
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24540212
[Presentation] Large deviation principle for one-dimensional maps under weak hyperbolicity assumptions2015
- Author(s)
  Hiroki TAKAHASI
- Organizer
  IMS XXV, Celebrating 25 years of low-dimensional dynamics
- Place of Presentation
  Stony Brook University, New York, NY, USA
- Year and Date
  2015-05-10
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24540212
[Presentation] Lyapunov spectrum for Henon-like maps at the first bifurcation2015
- Author(s)
  Hiroki TAKAHASI
- Organizer
  School and Conference in Dynamical Systems
- Place of Presentation
  ICTP, Trieste, Italy
- Year and Date
  2015-08-04
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24540212
[Presentation] ある非一様双曲的1次元写像の逃げ率公式について2015
- Author(s)
  Hiroki Takahasi
- Organizer
  力学系とその諸分野への応用
- Place of Presentation
  京都大学数理解析研究所（京都府・京都市）
- Year and Date
  2015-07-01
- Data Source
  KAKENHI-PROJECT-15H05435
[Presentation] Large deviation principle and its universality in one-dimensional dynamics2015
- Author(s)
  高橋博樹
- Organizer
  関東力学系セミナー
- Place of Presentation
  東京大学
- Year and Date
  2015-09-25
- Invited
- Data Source
  KAKENHI-PROJECT-24540212
[Presentation] Lyapunov spectum for Henon-like maps at the first bifurcation2015
- Author(s)
  Hiroki Takahasi
- Organizer
  School and Conference on Dynamical Systems
- Place of Presentation
  Trieste（Italy）
- Year and Date
  2015-08-04
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H05435
[Presentation] Large deviation principle for one-dimensional maps under weak hyperbolicity assumptions2015
- Author(s)
  Hiroki Takahasi
- Organizer
  IMS XXV, Celebrating 25 years of low-dimensional dynamics at Stony Brook University
- Place of Presentation
  Stony Brook（USA）
- Year and Date
  2015-05-08
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H05435
[Presentation] 一次元力学系の大偏差原理とその普遍性について2015
- Author(s)
  高橋博樹
- Organizer
  京都力学系セミナー
- Place of Presentation
  京都大学
- Year and Date
  2015-10-16
- Invited
- Data Source
  KAKENHI-PROJECT-24540212
[Presentation] Escape rate for nonhyperbolic one-dimensional maps2015
- Author(s)
  高橋博樹
- Organizer
  大自由度分子系における化学反応機序の理解と制御
- Place of Presentation
  北海道大学
- Year and Date
  2015-10-31
- Invited
- Data Source
  KAKENHI-PROJECT-24540212
[Presentation] Lyapunov spectrum of Henon-like maps at the first bifurcation2014
- Author(s)
  Hiroki Takahasi
- Organizer
  ICM Satellite Conference ``Dynamical Systems and Related Topics"
- Place of Presentation
  Chungnam大学（韓国、ソウル市）
- Year and Date
  2014-08-08
- Invited
- Data Source
  KAKENHI-PROJECT-23740121
[Presentation] Multifractal Formalism for Benedicks-Carleson Quadratic Maps2012
- Author(s)
  Hiroki Takahasi
- Organizer
  Dynamics of Complex Systems(招待講演)
- Place of Presentation
  北海道大学
- Data Source
  KAKENHI-PROJECT-23740121
[Presentation] Multifractal analysis for the Henon map at the first bifurcation2012
- Author(s)
  高橋博樹
- Organizer
  Ergodic Theory and Metric Number Theory
- Place of Presentation
  日本女子大学
- Data Source
  KAKENHI-PROJECT-23740121
[Presentation] Large deviation principle for Benedicks-Carleson quadratic maps2012
- Author(s)
  高橋博樹
- Organizer
  Workshop on Non-uniformly Hyperbolic and Neutral One-dimensional Dynamics
- Place of Presentation
  National University of Singapore
- Invited
- Data Source
  KAKENHI-PROJECT-23740121
[Presentation] カオス的な２次写像の大偏差原理2011
- Author(s)
  Hiroki Takahasi
- Organizer
  エルゴード理論研究集会
- Place of Presentation
  大阪大学
- Data Source
  KAKENHI-PROJECT-23740121
[Presentation] Thermodynamic Formalism for the Henon Maps2011
- Author(s)
  Hiroki Takahasi
- Organizer
  Frontiers in Dynamical Systems and Topology
- Place of Presentation
  京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-23740121
[Presentation] 統計力学的手法による馬蹄の大域分岐問題の研究2011
- Author(s)
  Hiroki Takahasi
- Organizer
  Dynamics and Complex Systems
- Place of Presentation
  北海道大学
- Data Source
  KAKENHI-PROJECT-23740121
[Presentation] Prevalence of nonuniform hyperbolicity at the first bifurcation of the Henon family
- Author(s)
  Hiroki Takahasi
- Organizer
  Pacific Rim Conference on Mathematics
- Place of Presentation
  札幌コンベンションセンター
- Data Source
  KAKENHI-PROJECT-23740121

1. Kokubu Hiroshi (50202057)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
2. SAIKI Yoshitaka (20433740)

# of Collaborated Projects: 2 results

# of Collaborated Products: 4 results
3. Chung Yong Moo (20314734)

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results
4. SUMI Naoya (50301411)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. MIKAMI Toshio (70229657)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. HIRAOKA Yasuaki (10432709)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. ARAI Zin (80362432)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. SAKAJO Takashi (10303603)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. MOCHIZUKI Atsushi (10304726)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. INATSU Masaru (80422450)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. 佐々田槙子 (00609042)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. 秋元琢磨 (30454044)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. 小林幹 (10547011)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. 犬伏正信 (20821698)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. 辻井正人 (20251598)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. イェーリッシュヨハネス (90741869)

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results

TAKAHASHI Hiroki 高橋 博樹

TAKAHASI Hiroki 高橋 博樹

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Co-Researchers

ランダム・サイクルを骨格とする新しい力学系理論の構築と展開Principal Investigator

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Large deviations analysis of chaotic dynamical systemsPrincipal Investigator

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New Developments in Fluid Dynamics Research Based on Dynamical Systems Theory

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A Challenge to the resolution of Palis's conjecture by means of the asymptotic hyperbolicity and Yoccoz's puzzlePrincipal Investigator

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Intermittency due to hetero-chaotic property and its inference

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Exploration of anomalous diffusion phenomena by means of dynamical systems theory and scaling limitsPrincipal Investigator

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thermodynamic formalism and bifurcation of Henon mapsPrincipal Investigator

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Development and Application of Topological Computation Theory for Dynamical Systems

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Large deviation principle and multifractal analysis in dynamical systems

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Thermodynamic formalism for the Henon map at the first bifurcationPrincipal Investigator

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[Journal Article] Restricted slowly growing digits for infinite iterated function systems2025

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[Journal Article] Multifractal analysis of homological growth rates for hyperbolic surfaces2025

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[Journal Article] Exponential Mixing for Heterochaos Baker Maps and the Dyck System2024

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TAKAHASHI Hiroki 高橋博樹

TAKAHASI Hiroki 高橋博樹