TAKAHASHI Hiroki 高橋博樹

… Alternative Names

Researcher Number	00467440
Other IDs
Affiliation (Current)	2019: 慶應義塾大学, 理工学部(矢上), 准教授
Affiliation (based on the past Project Information) *help	2016 – 2019: 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 Mathematical Sciences in Search of New Cooperation / Basic analysis / Medium-sized Section 12:Analysis, applied mathematics, and related fields / Global analysis Except Principal Investigator Foundations of mathematics/Applied mathematics / Global analysis
Keywords	Principal Investigator 力学系 / 分岐 / 熱力学形式 / 双曲性 / エノン写像 / エルゴード理論 / カオス / 韓国 / Palis予想 / 国際情報交換 … More Except Principal Investigator 力学系 / トポロジー / マルチフラクタル解析 / 力学系理論 / 気象学 / 生命科学 / 計算機援用解析 / 可微分力学系 / 時系列 / マルチフラクタル / ネットワーク / 位相計算 / 大偏差原理 Less

漸近双曲性とYoccoz's puzzleを用いたPalis予想解決への挑戦Principal InvestigatorOngoing
- Principal Investigator
  
  高橋博樹
- Project Period (FY)
  2019 – 2021
- Research Category
  
  Challenging Research (Exploratory)
- Review Section
  
  Medium-sized Section 12:Analysis, applied mathematics, and related fields
- Research Institution
  Keio University
力学系とスケール極限を用いた異常拡散の探索と拡散制御理論の構築Principal InvestigatorOngoing
- Principal Investigator
  
  高橋博樹
- Project Period (FY)
  2016 – 2018
- 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 InvestigatorOngoing
- Principal Investigator
  
  高橋博樹
- 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 2018 2017 2016 2015 2014 2013 2012 2011 Other

All Journal Article Presentation

[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] 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
- Int'l Joint Research / Peer Reviewed
- 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
- Acknowledgement Compliant / Peer Reviewed
- 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
- Acknowledgement Compliant / Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15H05435, KAKENHI-PROJECT-16KT0021
[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
- Acknowledgement Compliant / Peer Reviewed
- 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
- Acknowledgement Compliant / Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15H05435
[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
- Acknowledgement Compliant / Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740121
[Journal Article] Multifractal formalism for Benedicks-Carleson quadratic maps2014
- Author(s)
  Yong Moo Chung, Hiroki Takahasi
- Journal Title
  
  Ergodic Theory and Dynamical Systems
  
  Volume: 34 Pages: 1116-1141
- DOI
  10.1017/etds.2012.188
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24540212, 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 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] 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] 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] 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] 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] 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
  Dynamical Systems Seminar
- Int'l Joint Research / Invited
- Data Source
  KAKENHI-PROJECT-15H05435
[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
- Int'l Joint Research / Invited
- 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] Lyapunov optimizing measures of non-generic one-dimensional expanding Markov maps2017
- Author(s)
  高橋博樹
- Organizer
  NCTS Workshop on Dynamical Systems
- Int'l Joint Research / Invited
- 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] 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 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 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] 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] Large deviation principle in one-dimensional dynamics2016
- Author(s)
  高橋博樹
- Organizer
  Dynamics Seminar
- Place of Presentation
  武漢（中国）
- Int'l Joint Research / Invited
- Data Source
  KAKENHI-PROJECT-16KT0021
[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] 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] 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）
- Int'l Joint Research / Invited
- Data Source
  KAKENHI-PROJECT-15H05435
[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] 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
- Int'l Joint Research / Invited
- Data Source
  KAKENHI-PROJECT-15H05435
[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] 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
- Int'l Joint Research / Invited
- 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 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] 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] 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
- Int'l Joint Research / 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
- Int'l Joint Research / Invited
- 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] 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] 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 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

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4. Kokubu Hiroshi (50202057)

# of Collaborated Projects: 1 results

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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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TAKAHASHI Hiroki 高橋 博樹

TAKAHASI Hiroki 高橋 博樹

Research Projects

Research Products

Co-Researchers

漸近双曲性とYoccoz's puzzleを用いたPalis予想解決への挑戦Principal InvestigatorOngoing

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

力学系とスケール極限を用いた異常拡散の探索と拡散制御理論の構築Principal InvestigatorOngoing

Principal Investigator

Project Period (FY)

Research Category

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Research Institution

thermodynamic formalism and bifurcation of Henon mapsPrincipal InvestigatorOngoing

Principal Investigator

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Research Institution

Development and Application of Topological Computation Theory for Dynamical Systems

Principal Investigator

Project Period (FY)

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Research Institution

Large deviation principle and multifractal analysis in dynamical systems

Principal Investigator

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Research Field

Research Institution

Thermodynamic formalism for the Henon map at the first bifurcationPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Lyapunov optimization for non-generic one-dimensional expanding Markov maps2017

Author(s)

Journal Title

Data Source

[Journal Article] Equilibrium measures for the Henon map at the first bifurcation: uniqueness and geometric/statistical properties2016

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Equilibrium measures at temperature zero for Henon-like maps at the first bifurcation2016

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Removal of phase transition in the Chebyshev quadratic and thermodynamics for Henon-like maps near the first bifurcation2016

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Birkhoff spectrum for Henon-like maps at the first bifurcation2016

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Lyapunov spectrum for Henon-like maps at the first bifurcation2016

Author(s)

Journal Title

Data Source

[Journal Article] Equilibrium measures for the Henon map at the first bifurcation: uniqueness and geometric/statistical properties2015

Author(s)

Journal Title

Data Source

[Journal Article] Multifractal formalism for Benedicks-Carleson quadratic maps2014

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Equilibrium measures for the Henon map at the first bifurcation: uniqueness and geometric/statistical properties2014

Author(s)

TAKAHASHI Hiroki 高橋博樹

TAKAHASI Hiroki 高橋博樹