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Hayashi Shuhei  林 修平

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… 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
  • Research Projects

    (9 results)
  • Research Products

    (31 results)
  • Co-Researchers

    (49 People)
  •  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
    # of Collaborated Products: 0 results
  • 20.  KANAI Masahiko (70183035)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 21.  NODA Takeo (90431618)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 22.  MORIYOSHI Hitoshi (00239708)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 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
    # of Collaborated Products: 0 results
  • 29.  ITO Hidekazu (90159905)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  SANNAMI Atsuro (30154157)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  OKA Hiroe (20215221)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  KOMURO Motomasa (00186818)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  ISHII Yutaka (20304727)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  水谷 忠良 (20080492)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  福井 和彦 (30065883)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 36.  三松 佳彦 (70190725)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 37.  FURUTA Mikio (50181459)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  KATO Tsuyoshi (20273427)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 39.  TAMAKI Dai (10252058)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 40.  KIYONO Kazuhiko (40234398)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 41.  YOSHIDA Takahiko (70451903)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 42.  FUJITA Hajime (50512159)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 43.  NAKAMURA Nobuhiro (10512171)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 44.  小島 定吉 (90117705)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 45.  小林 俊行 (80201490)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 46.  大島 利雄 (50011721)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 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

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