Hayashi Shuhei 林修平

… Alternative Names

HAYASHI Shuhei 林修平

林修平ハヤシシュウヘイ

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Researcher Number	20247208
External Links
Affiliation (Current)	2025: 東京大学, 大学院数理科学研究科, 准教授
Affiliation (based on the past Project Information) *help	2016: 東京大学, 大学院数理科学研究科, 准教授 2012 – 2014: 東京大学, 数理(科)学研究科(研究院), 准教授 2007 – 2012: 東京大学, 大学院・数理科学研究科, 准教授 2002 – 2005: 東京大学, 大学院・数理科学研究科, 助教授 1998 – 1999: 早稲田大学, 商学部, 助教授
Review Section/Research Field	Principal Investigator Global analysis / Global analysis Except Principal Investigator Geometry / Global analysis
Keywords	Principal Investigator dominated splitting / ergodic closing lemma / connecting lemma / partial hyperbolicity / リアプノフ指数 / 双曲性 / ergodic measures / Lyapunov exponents / homoclinic bifurcations / hyperbolicity … More / closing lemma / 馬蹄形写像 / normally hyperbolicity / Lyapunov exponent / normal hyperbolicity / エルゴード測度 / 連結補題 / 優越分解 / 部分双曲性 / エルゴード閉補題 / ホモクリニック分岐 / ラグランジュ系 / 無限個の沈点 / 可観測性 / Smale予想 / Palis予想 / Connecting Lemma / Lyapunov splitting / lyapunov指数 / ホモクリニック点 / モース・スメール系 … More Except Principal Investigator 幾何学 / 力学系 / 微分同相群 / 多様体 / 無限群 / 微分トポロジー / 葉層構造 / 分類空間 / 位相幾何 / トポロジー / 変換群 / 接触構造 / 群論 / 微分幾何 / 野性的空間 / 写像類群 / 空間形 / invariant sets / dynamics of group actions / characteristic classes / classifying spaces / diffeomorphism groups / geometric theory of groups / transformation grouns / infinite groups / 等長変換群 / 区分線形構造 / アノソフ流 / 離散群 / 極小集合 / クライン群 / 横断構造 / 幾何的群論 / 曲面束 / 無限変換群 / 不変集合 / 群作用のダイナミクス / 特性類 / 群の幾何的理論 / 位相亜群 / 離散部分群 / 幾何構造 / シンプレクティク構造 / 葉層 / 位相計算理論 / 大自由度系 / 大域的 / Conley指数 / 計算機支援証明 / 特異摂動 / 特異性 / 大域的分岐 / 計算機援用証明 / 位相計算 / 位相的方法 / ホモロジー / 精度保証付き計算 / グラフ・アルゴリズム / 位相計算法 / 計算機援用 / 大域的構造 / 大域 / 大自由度 / カオス / 分岐 Less

New developments in infinite groups and geometry
- Principal Investigator
  
  Tsuboi Takashi
- Project Period (FY)
  2012 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (S)
- Research Field
  
  Geometry
- Research Institution
  The University of Tokyo
The study of generic properties of differentiable dynamical systemsPrincipal Investigator
- Principal Investigator
  
  HAYASHI Shuhei
- Project Period (FY)
  2010 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  The University of Tokyo
Groups of diffeomorphisms of manifolds
- Principal Investigator
  
  TSUBOI Takashi
- Project Period (FY)
  2008 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  The University of Tokyo
gauge theory and homotopy theory
- Principal Investigator
  
  FURUTA Mikio
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  The University of Tokyo
Study of Global Bifurcations of Dynamical Systems for Understandings of Chaos and Systems with Large Degrees of Freedom
- Principal Investigator
  
  KOKUBU Hiroshi
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Kyoto University
葉層力学系研究のための企画調査
- Principal Investigator
  
  TSUBOI Shun
- Project Period (FY)
  2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  The University of Tokyo
Various aspects of infinite groups of transformations acting on manifolds
- Principal Investigator
  
  TSUBOI Takashi
- Project Period (FY)
  2004 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  The University of Tokyo
Studies of the Palis Conjecture and new directions of dynamical systemsPrincipal Investigator
- Principal Investigator
  
  HAYASHI Shuhei
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  The University of Tokyo
微分力学系のgenericな性質に関するPalisの予想Principal Investigator
- Principal Investigator
  
  林修平
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Global analysis
- Research Institution
  Waseda University

All 2014 2012 2011 2010 2007 2003

All Journal Article Presentation

[Journal Article] A C2 generic trichotomy for diffeomorphisms: hyperbolicity or zero Lyapunov exponents or the C1 creation of homoclinic bifurcations2014
- Author(s)
  Shuhei HAYASHI
- Journal Title
  
  Transactions of the American Mathematical Society
  
  Volume: 366 Issue: 11 Pages: 5613-5651
- DOI
  10.1090/s0002-9947-2014-06425-8
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540221
[Journal Article] Applications of Mane's C^2 Connecting Lemma2010
- Author(s)
  S. Hayashi
- Journal Title
  
  Proc. Amer. Math. Soc.
  
  Volume: 138 Pages: 1371-1385
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20244003
[Journal Article] Applications of Mane's C^2 Connecting Lemma2010
- Author(s)
  S.Hayashi
- Journal Title
  
  Proc.Amer.Math.Soc. 138
  
  Pages: 1371-1385
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20244003
[Journal Article] Applications of Mane's C2 connecting lemma2010
- Author(s)
  S. Hayashi
- Journal Title
  
  Proc.Amer.Math.Soc. 138
  
  Pages: 1371-1385
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340015
[Journal Article] An extension of the ergodic closing lemma2010
- Author(s)
  Hayashi, Shuhei
- Journal Title
  
  Ergodic Theory Dynam
  
  Volume: no.3 Pages: 733-808
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340015
[Journal Article] An extension of the ergodic closing lemma2010
- Author(s)
  Shuhei HAYASHI
- Journal Title
  
  Ergodic Theory and Dynamical Systems
  
  Volume: 30 Pages: 773-808
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540221
[Journal Article] Applications of Mane's C^2 connecting lemma2010
- Author(s)
  Shuhei HAYASHI
- Journal Title
  
  Proceedings of American Mathematical Society
  
  Volume: 138 Pages: 1371-1385
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540221
[Journal Article] Applications of Mane's C^2 connecting lemma2010
- Author(s)
  S.Hayashi
- Journal Title
  
  Proc.Amer.Math.Soc.
  
  Volume: 138 Pages: 1371-1385
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20244003
[Journal Article] Applications of Mane's C2 connecting lemma2010
- Author(s)
  Hayashi, Shuhei
- Journal Title
  
  Proc. Amer. Math. Soc.
  
  Volume: no.4 Pages: 1371-1385
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340015
[Journal Article] Applications of Mane's C^2 Connecting Lemma2010
- Author(s)
  Shuhei Hayashi
- Journal Title
  
  Proceedings of American Mathematical Society 138
  
  Pages: 1371-1385
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20244003
[Journal Article] Hyperbolicity, heterodimensional cycles and Lyapunov exponents for partially hyperbolic dynamics2007
- Author(s)
  Hayashi, Shuhei
- Journal Title
  
  Bull. Braz. Math. Soc.(N. S.)
  
  Volume: 38, no.2 Pages: 203-218
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340015
[Journal Article] Hyperbolicity,heterodimensional cycles and Lyapunov exponents for partially hyperbolic dynam2007
- Author(s)
  林修平
- Journal Title
  
  Bull.Braz.Math, Soc, (N.S.) 38
  
  Pages: 203-218
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340015
[Journal Article] Hyperbolicity, heterodimensional cycles and Lyapunov exponents for partially hyperbolic dynamics2007
- Author(s)
  Shuhei Hayashi
- Journal Title
  
  Bol. Soc. Brasil. Mat. (N.S.) 38
  
  Pages: 203-218
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16204004
[Journal Article] Hyperbolicity,heterodimensional cycles and Lyapunov exponents for partially hyperboIic dynam2007
- Author(s)
  Shuhei, Hayashi
- Journal Title
  
  Bol.Soc, Brasil, Mat.(N.S.) 38
  
  Pages: 203-218
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16204004
[Journal Article] From Topology to Chaos2003
- Author(s)
  Shuhei Hayashi
- Journal Title
  
  Suuri Kagaku 6
  
  Pages: 19-26
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540199
[Journal Article] スメール2003
- Author(s)
  林修平
- Journal Title
  
  数学セミナー 503
  
  Pages: 74-81
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540199
[Journal Article] Smale2003
- Author(s)
  Shuhei Hayashi
- Journal Title
  
  Sugaku Seminar 8
  
  Pages: 74-81
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540199
[Journal Article] トポロジーからカオスへ2003
- Author(s)
  林修平
- Journal Title
  
  数理科学 480
  
  Pages: 19-26
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540199
[Presentation] On infinitely many observable sinks for diffeomorphisms2014
- Author(s)
  Shuhei Hayashi
- Organizer
  RIMS研究集会「力学系と計算」
- Place of Presentation
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-22540221
[Presentation] A refinement of Mane's C1 generic dichotomy2014
- Author(s)
  Shuhei HAYASHI
- Organizer
  Dynamical Systems and Related Topics
- Place of Presentation
  Chungnam National University, Daejeon, Korea
- Year and Date
  2014-08-08
- Invited
- Data Source
  KAKENHI-PROJECT-22540221
[Presentation] On the observability of periodic orbits for diffeomorphisms2012
- Author(s)
  Shuhei Hayashi
- Organizer
  School and Conference in Dynamical Systems
- Place of Presentation
  Trieste, Italy
- Data Source
  KAKENHI-PROJECT-22540221
[Presentation] A C^2 generic trichotomy for diffeomorphisms2011
- Author(s)
  林修平
- Organizer
  冬の力学系研究集会
- Place of Presentation
  東京工業大学
- Year and Date
  2011-01-09
- Data Source
  KAKENHI-PROJECT-22540221
[Presentation] A C^2 generic trichotomy for diffeomorphisms2011
- Author(s)
  林修平
- Organizer
  力学系研究集会
- Place of Presentation
  東京工業大学
- Data Source
  KAKENHI-PROJECT-20244003
[Presentation] On the $C^1$-creation of good periodic orbits2011
- Author(s)
  Shuhei Hayashi
- Organizer
  Geometry and Dynamics, Todai Forum
- Place of Presentation
  Ecole Normale Superieure de Lyon (France)(招待講演)
- Year and Date
  2011-10-18
- Data Source
  KAKENHI-PROJECT-20244003
[Presentation] On the creation of observable periodic orbits for diffeomorphisms2011
- Author(s)
  Shuhei Hayashi
- Organizer
  RIMS研究集会「力学系とトポロジーのフロンティア」
- Place of Presentation
  京都大学
- Year and Date
  2011-11-24
- Data Source
  KAKENHI-PROJECT-22540221
[Presentation] A $C^2$ generic obstruction to hyperbolicity for diffeomorphisms with dominated splittings2011
- Author(s)
  Shuhei Hayashi
- Organizer
  Beyond Uniform Hyperbolicity 2011
- Place of Presentation
  Marseille, France(招待講演)
- Year and Date
  2011-06-08
- Data Source
  KAKENHI-PROJECT-20244003
[Presentation] On the creation of observable periodic orbits for diffeomorphisms2011
- Author(s)
  Shuhei Hayashi
- Organizer
  RIMS研究集会「力学系とトポロジーのフロンティア」
- Place of Presentation
  京都大学
- Year and Date
  2011-11-24
- Data Source
  KAKENHI-PROJECT-20244003
[Presentation] On the $C^1$-creation of good periodic orbits2011
- Author(s)
  Shuhei Hayashi
- Organizer
  Geometry and Dynamics, Todai Forum
- Place of Presentation
  Ecole Normale Superieure de Lyon (France)
- Year and Date
  2011-10-18
- Data Source
  KAKENHI-PROJECT-20244003
[Presentation] AC^2 generic trichotomy for diffeomorphisms2011
- Author(s)
  林修平
- Organizer
  力学系研究集会
- Place of Presentation
  東京工業大学.
- Year and Date
  2011-01-01
- Data Source
  KAKENHI-PROJECT-20244003
[Presentation] A $C^2$ generic obstruction to hyperbolicity for diffeomorphisms with dominated splittings2011
- Author(s)
  Shuhei Hayashi
- Organizer
  Beyond Uniform Hyperbolicity 2011
- Place of Presentation
  Marseille, France
- Year and Date
  2011-06-08
- Data Source
  KAKENHI-PROJECT-20244003
[Presentation] On the creation of observable periodic orbits for diffeomorphisms2011
- Author(s)
  Shuhei Hayashi
- Organizer
  RIMS研究集会「力学系とトポロジーのフロンティア」
- Place of Presentation
  京都大学(招待講演)
- Year and Date
  2011-11-24
- Data Source
  KAKENHI-PROJECT-20244003

1. TSUBOI Shun (40114566)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
2. KAWAZUMI Nariya (30214646)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
3. ASAOKA Masayuki (10314832)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
4. MATSUMOTO Shigenori (80060143)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
5. ASUKE Taro (30294515)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
6. OHSHIKA Kenichi (70183225)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
7. NAKAYAMA Hiromichi (30227970)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
8. FUJIWARA Koji (60229078)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
9. MINAKAWA Hiroyuki (30241300)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
10. SHISHIKURA Mitsuhiro (70192606)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
11. INOU Hiroyuki (00362434)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
12. OKAMOTO Hisashi (40143359)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
13. NISHIURA Yasumasa (00131277)

# of Collaborated Projects: 2 results

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

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
15. OGAWA Toshiyuki (80211811)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
16. TSUJII Masato (20251598)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
17. UE Masaaki (80134443)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
18. MINAMI Norihiko (80166090)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
19. KAMETANI Yukio (70253581)

# of Collaborated Projects: 2 results

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20. KANAI Masahiko (70183035)

# of Collaborated Projects: 2 results

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21. NODA Takeo (90431618)

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22. MORIYOSHI Hitoshi (00239708)

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23. MORITA Shigeyuki (70011674)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
24. KOKUBU Hiroshi (50202057)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. KONO Akira (00093237)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
26. YOSHIHARA Hideaki (10182809)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
27. USHIKI Shigehiro (10093197)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
28. KISAKA Masashi (70244671)

# of Collaborated Projects: 1 results

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29. ITO Hidekazu (90159905)

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30. SANNAMI Atsuro (30154157)

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31. OKA Hiroe (20215221)

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32. KOMURO Motomasa (00186818)

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33. ISHII Yutaka (20304727)

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34. 水谷忠良 (20080492)

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35. 福井和彦 (30065883)

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36. 三松佳彦 (70190725)

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37. FURUTA Mikio (50181459)

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38. KATO Tsuyoshi (20273427)

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39. TAMAKI Dai (10252058)

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40. KIYONO Kazuhiko (40234398)

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41. YOSHIDA Takahiko (70451903)

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42. FUJITA Hajime (50512159)

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43. NAKAMURA Nobuhiro (10512171)

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44. 小島定吉 (90117705)

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45. 小林俊行 (80201490)

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46. 大島利雄 (50011721)

# of Collaborated Projects: 1 results

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47. KODAMA Hiroki (40466826)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
48. TAKAMURA Masashi (20598859)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
49. MATSUDA Yoshifumi (60549294)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Hayashi Shuhei 林 修平

HAYASHI Shuhei 林 修平

林 修平 ハヤシ シュウヘイ

Research Projects

Research Products

Co-Researchers

New developments in infinite groups and geometry

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

The study of generic properties of differentiable dynamical systemsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Groups of diffeomorphisms of manifolds

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

gauge theory and homotopy theory

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study of Global Bifurcations of Dynamical Systems for Understandings of Chaos and Systems with Large Degrees of Freedom

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

葉層力学系研究のための企画調査

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Various aspects of infinite groups of transformations acting on manifolds

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Studies of the Palis Conjecture and new directions of dynamical systemsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

微分力学系のgenericな性質に関するPalisの予想Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] A C2 generic trichotomy for diffeomorphisms: hyperbolicity or zero Lyapunov exponents or the C1 creation of homoclinic bifurcations2014

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Applications of Mane's C^2 Connecting Lemma2010

Author(s)

Journal Title

Data Source

[Journal Article] Applications of Mane's C^2 Connecting Lemma2010

Author(s)

Journal Title

Data Source

[Journal Article] Applications of Mane's C2 connecting lemma2010

Author(s)

Journal Title

Data Source

[Journal Article] An extension of the ergodic closing lemma2010

Author(s)

Journal Title

Hayashi Shuhei 林修平

HAYASHI Shuhei 林修平

林修平ハヤシシュウヘイ