TAKAHASHI Hiroki 高橋博樹

… Alternative Names

Researcher Number	00467440
Other IDs
Affiliation (Current)	2022: 慶應義塾大学, 理工学部(矢上), 准教授
Affiliation (based on the past Project Information) *help	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 Global analysis / Basic analysis / Mathematical Sciences in Search of New Cooperation / Basic Section 12010:Basic analysis-related / Medium-sized Section 12:Analysis, applied mathematics, and related fields Except Principal Investigator Global analysis / Foundations of mathematics/Applied mathematics / Medium-sized Section 12:Analysis, applied mathematics, and related fields
Keywords	Principal Investigator 力学系 / エノン写像 / 大偏差原理 / 可算マルコフシフト / 双曲性 / 分岐 / エルゴード理論 / 熱力学形式 / 国際研究者交流 / 韓国 … More Except Principal Investigator 力学系 / 大偏差原理 / マルチフラクタル / 可微分力学系 / マルチフラクタル解析 / 力学系理論 / トポロジー / 計算機援用解析 / 時系列 / 気象学 / 位相計算 / 生命科学 / ネットワーク / dynamical system / nonhyperbolicity / hetero chaos / turbulence / reservoir computing Less

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
Intermittency due to hetero-chaotic property and its inference
- Principal Investigator
  
  齊木吉隆
- Project Period (FY)
  2019 – 2022
- 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
漸近双曲性とYoccoz's puzzleを用いたPalis予想解決への挑戦Principal Investigator
- Principal Investigator
  
  高橋博樹
- Project Period (FY)
  2019 – 2021
- 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
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 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 Other

All Journal Article Presentation

[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] 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] 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] 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] 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
- 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 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 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 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 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 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] Multifractal formalism for Benedicks-Carleson quadratic maps2014
- Author(s)
  Yong Moo Chung and Hiroki Takahasi
- Journal Title
  
  Ergodic Theory and Dynamical Systems
  
  Volume: published online Pages: 1116-1141
- DOI
  10.1017/etds.2012.188
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-23740121, KAKENHI-PROJECT-24540212
[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 Pages: 1719-1741
- DOI
  10.1088/0951-7715/26/6/1719
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740121
[Journal Article] Statistical Properties of Nonuniformly Expanding 1d Maps with Logarithmic Singularities2012
- Author(s)
  Hiroki Takahasi
- Journal Title
  
  Noninearity
  
  Volume: 25 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 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 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 Pages: 37-85
- DOI
  10.1007/s00220-012-1442-y
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740121
[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. Chung Yong Moo (20314734)

# of Collaborated Projects: 1 results

# of Collaborated Products: 3 results
2. SUMI Naoya (50301411)

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. Kokubu Hiroshi (50202057)

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5. HIRAOKA Yasuaki (10432709)

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6. ARAI Zin (80362432)

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7. SAKAJO Takashi (10303603)

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8. MOCHIZUKI Atsushi (10304726)

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9. INATSU Masaru (80422450)

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10. 佐々田槙子 (00609042)

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11. 秋元琢磨 (30454044)

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12. 齊木吉隆 (20433740)

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13. 小林幹 (10547011)

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14. 犬伏正信 (20821698)

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15. 辻井正人 (20251598)

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16. イェーリッシュヨハネス (90741869)

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17. 石井豊

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18. 角大輝

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TAKAHASHI Hiroki 高橋 博樹

TAKAHASI Hiroki 高橋 博樹

Research Projects

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Co-Researchers

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

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Intermittency due to hetero-chaotic property and its inference

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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Principal Investigator

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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] Mixed multifractal spectra of Birkhoff averages for non-uniformly expanding one-dimensional Markov maps with countably many branches2021

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[Journal Article] Hausdorff dimension of sets with restricted, slowly growing partial quotients2021

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[Journal Article] Large deviation principle for S-unimodal maps with flat critical points2021

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[Journal Article] Entropy-approachability for transitive Markov shifts over infinite alphabet2020

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[Journal Article] Uniqueness of minimizer for countable Markov shifts and equidistribution of periodic points2020

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[Journal Article] Large deviations for denominators of continued fractions2020

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[Journal Article] Large deviation principle for arithmetic functions in continued fraction expansion2019

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TAKAHASHI Hiroki 高橋博樹

TAKAHASI Hiroki 高橋博樹