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TAKAHASHI Hiroki  高橋 博樹

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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 – 2024: 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
Basic Section 12010:Basic analysis-related / Medium-sized Section 12:Analysis, applied mathematics, and related fields / 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 / 大偏差原理 / エルゴード理論 / 双曲性 / エノン写像 / エルゴード最適化 / 熱力学形式 / 分岐 / 連分数展開 … More / 周期軌道 / 連分数 / 測地流 / カオス力学系 / 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 / カオス / 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 / 分岐 / カオス的サドル / reservoir computing / turbulence / hetero chaos / nonhyperbolicity / dynamical system / 制御 / カオス / 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 / ヘテロカオス / 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
  • Research Projects

    (9 results)
  • Research Products

    (105 results)
  • Co-Researchers

    (16 People)
  •  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
  •  大偏差原理に基づくカオス力学系の構造解析Principal Investigator

    • Principal Investigator
      高橋 博樹
    • Project Period (FY)
      2020 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Keio 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
      齊木 吉隆
    • 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

All 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 Other

All Journal Article Presentation

  • [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.  齊木 吉隆 (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: 1 results

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