Hirayama Michihiro 平山至大

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HIRAYAMA Michihiro 平山至大

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Researcher Number	50452735
Affiliation (Current)	2025: 筑波大学, 数理物質系, 准教授
Affiliation (based on the past Project Information) *help	2025: 筑波大学, 数理物質系, 准教授 2014 – 2023: 筑波大学, 数理物質系, 准教授 2018: 筑波大学, 数理物質科学研究科, 准教授 2013: 九州工業大学, 工学研究科, 准教授 2012 – 2013: 九州工業大学, 工学(系)研究科(研究院), 准教授 … More 2008: Kyushu Institute of Technology, 工学研究科, 准教授 2008: Kyushu Institute of Technology, 工学研究院, 准教授 2007: Kyushu University, 大学院・数理学研究院, 学術研究員 Less
Review Section/Research Field	Principal Investigator Global analysis / Basic Section 12010:Basic analysis-related / Basic Section 12020:Mathematical analysis-related / Basic analysis Except Principal Investigator Basic analysis / Global analysis
Keywords	Principal Investigator エルゴード性 / 対角測度 / 同時再帰時間 / エルゴード理論的結合 / 多重同時再帰性 / 重み付きエルゴード定理 / 多重再帰性 / Mobius直交性 / 極小自己結合 / Furstenberg独立性 … More / Khintchine型多重再帰定理 / 多重再帰定理 / 葉層 / 横断性 / 葉層構造 / ハウスドルフ次元 / 安定エルゴード性 … More Except Principal Investigator エルゴード理論 / 力学系 / 解析学 Less

結合エルゴード系の極限定理とその応用に関する研究Principal Investigator
- Principal Investigator
  
  平山至大
- Project Period (FY)
  2025 – 2028
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  University of Tsukuba
Research in quantitative aspects of multiple recurrence property of probability measure preserving transformationsPrincipal Investigator
- Principal Investigator
  
  Hirayama Michihiro
- Project Period (FY)
  2019 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  University of Tsukuba
Ergodicity of volume preserving dynamical systems and its applicationsPrincipal Investigator
- Principal Investigator
  
  HIRAYAMA Michihiro
- Project Period (FY)
  2015 – 2018
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Basic analysis
- Research Institution
  University of Tsukuba
The research on the uniqueness of the density functions for the existence probability of orbits
- Principal Investigator
  
  Sumi Naoya
- Project Period (FY)
  2015 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kumamoto University
Absolute continuity of foliations and ergodicity for smooth measure preserving partially hyperbolic dynamicsPrincipal Investigator
- Principal Investigator
  
  HIRAYAMA Michihiro
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  University of Tsukuba
  Kyushu Institute of Technology
Study of probability density for the existence of orbits
- Principal Investigator
  
  SUMI Naoya
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Kumamoto University
  Tokyo Institute of Technology
Analytic properties of dynamical zeta functions and stable ergodicityPrincipal Investigator
- Principal Investigator
  
  HIRAYAMA Michihiro
- Project Period (FY)
  2007 – 2008
- Research Category
  
  Grant-in-Aid for Young Scientists (Start-up)
- Research Field
  
  Global analysis
- Research Institution
  Kyushu Institute of Technology
  Kyushu University

All 2024 2023 2022 2021 2019 2018 2017 2016 2015 2014 2013 2012 2011 2008 2007

All Journal Article Presentation

[Journal Article] On the coexistence of divergence and convergence phenomena for the Fourier-Haar series for non-negative functions2024
- Author(s)
  Michihiro HIRAYAMA and Davit KARAGULYAN
- Journal Title
  
  Analysis Mathematica
  
  Volume: - Issue: 1 Pages: 149-187
- DOI
  10.1007/s10476-024-00010-3
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03558
[Journal Article] ON MÖBIUS DISJOINTNESS FOR INFINITE MEASURE-PRESERVING TRANSFORMATIONS2024
- Author(s)
  Michihiro HIRAYAMA and Davit KARAGULYAN
- Journal Title
  
  Kyushu Journal of Mathematics
  
  Volume: 78 Issue: 1 Pages: 259-289
- DOI
  10.2206/kyushujm.78.259
- ISSN
  1340-6116, 1883-2032
- Language
  English
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03558
[Journal Article] Differentiation properties of class L^{1}([0,1)^{2}) with respect to two different bases of rectangles2024
- Author(s)
  Michihiro HIRAYAMA and Davit KARAGULYAN
- Journal Title
  
  Acta Scientiarum Mathematicarum (Szeged)
  
  Volume: - Issue: 1-2 Pages: 121-152
- DOI
  10.1007/s44146-024-00127-9
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03558
[Journal Article] On the multiple recurrence properties for disjoint systems2022
- Author(s)
  Michihiro Hirayama and Dong Han Kim and Younghwan Son
- Journal Title
  
  Israel Journal of Mathematics
  
  Volume: 247 Issue: 1 Pages: 405-431
- DOI
  10.1007/s11856-021-2271-5
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03558
[Journal Article] Bounds for multiple recurrence rate and dimension2019
- Author(s)
  Michihiro Hirayama
- Journal Title
  
  Tokyo Journal of Mathematics
  
  Volume: 42 Issue: 1
- DOI
  10.3836/tjm/1502179281
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03558
[Journal Article] On the ergodicity of hyperbolic Sinai-Ruelle-Bowen measures II: the low-dimensional case2018
- Author(s)
  Hirayama Michihiro, Naoya Sumi
- Journal Title
  
  Ergodic Theory and Dynamical Systems
  
  Volume: ３８ Issue: 8 Pages: 3042-3061
- DOI
  10.1017/etds.2016.136
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04902, KAKENHI-PROJECT-15K17550
[Journal Article] On the ergodicity of hyperbolic Sinai-Ruelle-Bowen measures: the constant unstable dimension case2015
- Author(s)
  Michihiro Hirayama and Naoya Sumi
- Journal Title
  
  Ergodic Theory and Dynamical Systems
  
  Volume: 印刷中 Issue: 5 Pages: 1494-1515
- DOI
  10.1017/etds.2014.124
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24740105, KAKENHI-PROJECT-15K04902, KAKENHI-PROJECT-15K17550
[Journal Article] Hyperbolic measures with transverse intersections of stable and unstable manifolds2013
- Author(s)
  M. Hirayama, N. Sumi
- Journal Title
  
  Discrete and Cont. Dynamic. Systems
  
  Volume: 33 Issue: 4 Pages: 1451-1476
- DOI
  10.3934/dcds.2013.33.1451
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540234
[Journal Article] Entropy of Hadamard spaces2011
- Author(s)
  M. Hirayama
- Journal Title
  
  Topology Appl
  
  Volume: 158, no. 4 Issue: 4 Pages: 627-635
- DOI
  10.1016/j.topol.2010.12.011
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540234
[Journal Article] Absolutely continuous invariant measures for expansive diffeomorphisms of the 2-torus2007
- Author(s)
  Michihiro Hirayama, et. al.
- Journal Title
  
  数理解析研究所講究録 1552
  
  Pages: 22-26
- NAID
  110006455964
- Data Source
  KAKENHI-PROJECT-19840038
[Journal Article] Non- absolutely continuous foliations2007
- Author(s)
  Michihiro Hirayama and Yakov Pesin
- Journal Title
  
  Israel Journal of Mathematics vol.160
  
  Pages: 173-187
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19840038
[Journal Article] Absolutely continuous invarant measures for expansive diffeomorphisms of the 2-torus2007
- Author(s)
  Michihiro Hirayama, et. al.
- Journal Title
  
  Hiroshima Mathematical Journal 37
  
  Pages: 491-517
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19840038
[Journal Article] Non-absolutely continuous foliations2007
- Author(s)
  Michihiro Hirayama, et. al.
- Journal Title
  
  Israel Journal of Mathematics 160
  
  Pages: 173-187
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19840038
[Journal Article] Absolutely continuous invariant measures for expansive diffeomorphisms of the 2-torus2007
- Author(s)
  Michihiro Hirayama and Naoya Sumi
- Journal Title
  
  Hiroshima Mathematical Journal vol.37
  
  Pages: 491-517
- NAID
  110006455964
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19840038
[Presentation] Kakutani's example revisted2023
- Author(s)
  Michihiro HIRAYAMA
- Organizer
  エルゴード理論研究集会
- Data Source
  KAKENHI-PROJECT-19K03558
[Presentation] L2 convergence of multiple ergodic averages for disjoint systems2021
- Author(s)
  Michihiro HIRAYAMA
- Organizer
  Recent Progress in Ergodic Theory
- Invited
- Data Source
  KAKENHI-PROJECT-19K03558
[Presentation] A remark on disjointness for L^2-convergence of multiple ergodic averages2019
- Author(s)
  Michihiro Hirayama
- Organizer
  エルゴード理論とその周辺
- Invited
- Data Source
  KAKENHI-PROJECT-19K03558
[Presentation] On quantitative multiple recurrence and dimension for some rank-one transformations2019
- Author(s)
  平山　至大
- Organizer
  数論とエルゴード理論
- Invited
- Data Source
  KAKENHI-PROJECT-15K17550
[Presentation] On Mobius disjointness for infinite measure preserving systems2019
- Author(s)
  Michihiro Hirayama
- Organizer
  Number Theory and Dynamics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03558
[Presentation] Disjointness and quantitative multiple recurrence2018
- Author(s)
  平山　至大
- Organizer
  エルゴード理論とその周辺
- Invited
- Data Source
  KAKENHI-PROJECT-15K17550
[Presentation] 可微分力学系の葉層構造とエルゴード性2018
- Author(s)
  平山至大
- Organizer
  確率解析の諸相
- Invited
- Data Source
  KAKENHI-PROJECT-15K17550
[Presentation] Quantitative recurrence for the Chacon transformation2018
- Author(s)
  Michihiro Hirayama
- Organizer
  The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17550
[Presentation] Quantitative multiple recurrence and dimension2017
- Author(s)
  平山至大
- Organizer
  数論とエルゴード理論
- Place of Presentation
  金沢大学サテライトプラザ（石川県金沢市）
- Year and Date
  2017-02-11
- Invited
- Data Source
  KAKENHI-PROJECT-15K17550
[Presentation] On the ergodicity of hyperbolic Sinai-Ruelle-Bowen measures2017
- Author(s)
  Michihiro Hirayama
- Organizer
  Current Trends in Dynamical Systems and the Mathematical Legacy of Rufus Bowen
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17550
[Presentation] 可微分力学系のエルゴード理論2016
- Author(s)
  平山至大
- Organizer
  Kunitachi One-Day Symposium on the Recent Developments in the Mathematical Science
- Place of Presentation
  一橋大学（東京都国立市）
- Year and Date
  2016-02-06
- Invited
- Data Source
  KAKENHI-PROJECT-15K17550
[Presentation] An extension of the Hopf argument in smooth ergodic theory2016
- Author(s)
  平山至大
- Organizer
  ジェネラルトポロジーシンポジウム
- Place of Presentation
  筑波大学（茨城県つくば市）
- Year and Date
  2016-12-07
- Invited
- Data Source
  KAKENHI-PROJECT-15K17550
[Presentation] 可微分力学系の葉層とエルゴード性2015
- Author(s)
  平山至大
- Organizer
  Hiroshima Dynamics Day
- Place of Presentation
  広島大学（広島県東広島市）
- Year and Date
  2015-10-09
- Invited
- Data Source
  KAKENHI-PROJECT-15K17550
[Presentation] 接触する葉層とエルゴード性2015
- Author(s)
  平山至大
- 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
  2015-06-29
- Data Source
  KAKENHI-PROJECT-15K17550
[Presentation] Several applications of metric property of tangential foliations in smooth ergodic theory2015
- Author(s)
  平山至大
- Organizer
  Ergodic Theory and Related Fields
- Place of Presentation
  慶應義塾大学（神奈川県横浜市）
- Year and Date
  2015-11-25
- Invited
- Data Source
  KAKENHI-PROJECT-15K17550
[Presentation] Topological transitivity and ergodicity for area preserving diffeomorphisms2014
- Author(s)
  平山至大
- Organizer
  ジェネラルトポロジーシンポジウム
- Place of Presentation
  静岡大学理学部
- Year and Date
  2014-12-17
- Invited
- Data Source
  KAKENHI-PROJECT-24740105
[Presentation] Holonomy maps along tangencies2013
- Author(s)
  平山至大
- Organizer
  Geometry and Foliations 2013
- Place of Presentation
  東京大学
- Data Source
  KAKENHI-PROJECT-24740105
[Presentation] On the ergodicity of hyperbolic SRB measures2012
- Author(s)
  平山至大
- Organizer
  Dynamical Systems: 100 years after Poincare
- Place of Presentation
  ヒホン，スペイン
- Data Source
  KAKENHI-PROJECT-24740105
[Presentation] Hausdorff dimension of the generic set2008
- Author(s)
  Michihiro Hirayama
- Organizer
  エルゴート理論小研究集会
- Place of Presentation
  九州大学
- Year and Date
  2008-06-16
- Data Source
  KAKENHI-PROJECT-19840038
[Presentation] Absolutely continuous invariant measures for expansive diffeomorphisms of the 2-torus2007
- Author(s)
  Michihiro Hirayama
- Organizer
  COE Conference on the Development of Dynamic Mathematics with High Functionality 2007
- Year and Date
  2007-10-03
- Data Source
  KAKENHI-PROJECT-19840038

1. SUMI Naoya (50301411)

# of Collaborated Projects: 2 results

# of Collaborated Products: 2 results
2. MORIYASU Kazumine (60253184)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
3. CHUNG Yong Moo (20314734)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. YAMAMOTO Kenichiro (30635181)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Hirayama Michihiro 平山 至大

HIRAYAMA Michihiro 平山 至大

Research Projects

Research Products

Co-Researchers

結合エルゴード系の極限定理とその応用に関する研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Research in quantitative aspects of multiple recurrence property of probability measure preserving transformationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Ergodicity of volume preserving dynamical systems and its applicationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

The research on the uniqueness of the density functions for the existence probability of orbits

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Absolute continuity of foliations and ergodicity for smooth measure preserving partially hyperbolic dynamicsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study of probability density for the existence of orbits

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Analytic properties of dynamical zeta functions and stable ergodicityPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] On the coexistence of divergence and convergence phenomena for the Fourier-Haar series for non-negative functions2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] ON MÖBIUS DISJOINTNESS FOR INFINITE MEASURE-PRESERVING TRANSFORMATIONS2024

Author(s)

Journal Title

DOI

ISSN

Language

Data Source

[Journal Article] Differentiation properties of class L^{1}([0,1)^{2}) with respect to two different bases of rectangles2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On the multiple recurrence properties for disjoint systems2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Bounds for multiple recurrence rate and dimension2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On the ergodicity of hyperbolic Sinai-Ruelle-Bowen measures II: the low-dimensional case2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On the ergodicity of hyperbolic Sinai-Ruelle-Bowen measures: the constant unstable dimension case2015

Hirayama Michihiro 平山至大

HIRAYAMA Michihiro 平山至大