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Kiriki Shin  桐木 紳

… Alternative Names

KIRIKI Shin  桐木 紳

桐木 紳  キリキ シン

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Researcher Number 50277232
Other IDs
  • ORCIDhttps://orcid.org/0000-0002-2263-1933
Affiliation (Current) 2025: 東海大学, 理学部, 教授
Affiliation (based on the past Project Information) *help 2013 – 2023: 東海大学, 理学部, 教授
2010 – 2012: 京都教育大学, 教育学部, 教授
2000: 東京電機大学, 理工学部, 講師
Review Section/Research Field
Principal Investigator
Basic analysis / Basic Section 12020:Mathematical analysis-related / Global analysis
Except Principal Investigator
Basic Section 12010:Basic analysis-related / Basic Section 12020:Mathematical analysis-related / Geometry
Keywords
Principal Investigator
力学系 / 遊走領域 / ホモクリニック接触 / トポロジー / ホモクリニック分岐 / 非双曲性 / historic behavior / ヒストリー性 / Takens' Last Problem / homoclinic tangency … More / wandering domain / 双曲性 / ヘテロ次元サイクル / Takensの最終問題 / ディラック物理測度 / ヒストリック挙動 / ブレンダー馬蹄 / blender-horseshoe / pluripotency / 解析学 / Bogdanov-Takens分岐 / ホモクリニック クラス / 微分同相写像系 / heterodimensional cycle / diffeomorphism / homoclinic class / ヒストリック振る舞い / 非双曲的集合 / 微分同相写像 / 双曲力学系 / Henon map / Colli-Vargas' conjecture / Historic behavior / 非自明な遊走集合 / Takensの最終公開問題 / vanStrienの公開問題 / Colli-Vargasの予想 / van Strien公開問題 / Colli-Vargas予想 / Takens最終問題 / Geometric Lorenz flow / 非自明遊走領域 / 非双曲力学系 / エノン写像系 / ヒストリック性 / エノン写像 / ストレンジアトラクタ / 分岐 / ストレンジ・アトラクタ / ホモクリニック / 非双曲 / 大域解析学 … More
Except Principal Investigator
力学系 / Lyapunov exponent / dynamical system / diffeomorphism / カオス力学系 / Lyapunov非正則集合 / Lyapunov指数 / 微分同相写像 / pluripotency / 創発性 / ヒストリー的挙動 / homoclinic tangency / diffomorphism / emergence / historic behavior / Emergence / rigidity theorem / co-compact metric / least area planes / Gromov groups / geometric limits / quasi-Fuchsian groups / 3-manifolds / hyperbolic manifolds / 有界コホモロジー / 等長写像 / 幾何的剛性定理 / 擬アノソフ同相写像 / ザイフェルト多様体 / 代数的極限 / 双曲3次元多様体 / ローレンツ・アトラクタ / 剛性定理 / コ・コンパクト計量 / 最小面積平面 / グロモフ群 / 幾何的極限 / 擬フックス群 / 3次元多様体 / 双曲多様体 Less
  • Research Projects

    (7 results)
  • Research Products

    (47 results)
  • Co-Researchers

    (3 People)
  •  Dynamical systems with observable Lyapunov irregular sets

    • Principal Investigator
      相馬 輝彦
    • Project Period (FY)
      2022 – 2025
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Waseda University
  •  Existence and persistence of historic wandering domains for high-dimensional dynamical systemsPrincipal Investigator

    • Principal Investigator
      桐木 紳
    • Project Period (FY)
      2021 – 2025
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Tokai University
  •  Emergence of differentiable dynamical systems with historic behavior

    • Principal Investigator
      Soma Teruhiko
    • Project Period (FY)
      2018 – 2023
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Waseda University
      Tokyo Metropolitan University
  •  Historic behavior of wandering domains for high dimensional dynamicsPrincipal Investigator

    • Principal Investigator
      Kiriki Shin
    • Project Period (FY)
      2017 – 2020
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Tokai University
  •  Historic behavior for non-trivial wandering domains: proof of Colli-Vargas' conjecture & answer to Takens' last problem)Principal Investigator

    • Principal Investigator
      Kiriki Shin
    • Project Period (FY)
      2013 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Tokai University
  •  C2 robust heterodimensional tangencies on heterodimensional cyclesPrincipal Investigator

    • Principal Investigator
      KIRIKI Shin
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Kyoto University of Education
  •  Geometric and topological rigidity theorem for 3-manifolds

    • Principal Investigator
      SOMA Teruhiko
    • Project Period (FY)
      2000 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Denki University

All 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 Other

All Journal Article Presentation Book

  • [Book] 数学の問題をうまくきれいに解く秘訣2017

    • Author(s)
      桐木 紳, 桐木 由美
    • Total Pages
      208
    • Publisher
      共立出版
    • ISBN
    • Data Source
      KAKENHI-PROJECT-17K05283
  • [Book] Hirsch・Smale・Devaney 力学系入門 -微分方程式からカオスまで- 原著第3版2016

    • Author(s)
      桐木紳, 三波篤郎, 谷川清隆, 辻井正人
    • Total Pages
      448
    • Publisher
      共立出版
    • Data Source
      KAKENHI-PROJECT-25400112
  • [Journal Article] Historic and physical wandering domains for wild blender-horseshoes2023

    • Author(s)
      Kiriki Shin、Nakano Yushi、Soma Teruhiko
    • Journal Title

      Nonlinearity

      Volume: 36 Issue: 8 Pages: 4007-4033

    • DOI

      10.1088/1361-6544/acda74

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21K03332, KAKENHI-PROJECT-23K03188, KAKENHI-PROJECT-19K14575
  • [Journal Article] Abundance of Observable Lyapunov Irregular Sets2022

    • Author(s)
      Kiriki Shin、Li Xiaolong、Nakano Yushi、Soma Teruhiko
    • Journal Title

      Communications in Mathematical Physics

      Volume: 391 Issue: 3 Pages: 1241-1269

    • DOI

      10.1007/s00220-022-04337-6

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03376, KAKENHI-PROJECT-21K03332, KAKENHI-PROJECT-19K21834, KAKENHI-PROJECT-19K14575, KAKENHI-PROJECT-22K03342
  • [Journal Article] Emergence via non-existence of averages2022

    • Author(s)
      Kiriki Shin、Nakano Yushi、Soma Teruhiko
    • Journal Title

      Advances in Mathematics

      Volume: 400 Pages: 108254-108254

    • DOI

      10.1016/j.aim.2022.108254

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K03376, KAKENHI-PROJECT-21K03332, KAKENHI-PROJECT-19K21834, KAKENHI-PROJECT-19K14575, KAKENHI-PROJECT-22K03342
  • [Journal Article] Historic behavior in nonhyperbolic homoclinic classes2019

    • Author(s)
      Barrientos Pablo G.、Kiriki Shin、Nakano Yushi、Raibekas Artem、Soma Teruhiko
    • Journal Title

      Proceedings of the American Mathematical Society

      Volume: 148 Issue: 3 Pages: 1195-1206

    • DOI

      10.1090/proc/14809

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05283, KAKENHI-PROJECT-18K03376, KAKENHI-PROJECT-19K21834, KAKENHI-PROJECT-19K14575
  • [Journal Article] Historic behaviour for nonautonomous contraction mappings2019

    • Author(s)
      S. Kiriki, Y. Nakano and T. Soma
    • Journal Title

      Nonlinearity

      Volume: 32 Issue: 3 Pages: 1111-1124

    • DOI

      10.1088/1361-6544/aaf253

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K03376, KAKENHI-PROJECT-26400093, KAKENHI-PROJECT-17K05283
  • [Journal Article] Moduli of 3-dimensional diffeomorphisms with saddle-foci2018

    • Author(s)
      Shinobu Hashimoto, Shin Kiriki, Teruhiko Soma
    • Journal Title

      Discrete & Continuous Dynamical Systems - A

      Volume: 38 Issue: 10 Pages: 5021-5037

    • DOI

      10.3934/dcds.2018220

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05283, KAKENHI-PROJECT-18K03376, KAKENHI-PROJECT-26400093
  • [Journal Article] Takens' last problem and existence of non-trivial wandering domains2017

    • Author(s)
      Kiriki, Shin; Soma, Teruhiko
    • Journal Title

      Advances in Mathematics

      Volume: 306 Pages: 524-588

    • DOI

      10.1016/j.aim.2016.10.019

    • Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25400112, KAKENHI-PROJECT-26400093, KAKENHI-PROJECT-17K05283
  • [Journal Article] Non-trivial wandering domains for heterodimensional cycles2017

    • Author(s)
      Shin Kiriki、Yushi Nakano 、Teruhiko Soma
    • Journal Title

      Nonlinearity

      Volume: 30 Issue: 8 Pages: 3255-3270

    • DOI

      10.1088/1361-6544/aa7cc6

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05283, KAKENHI-PROJECT-26400093
  • [Journal Article] Geometric Lorenz flows with historic behavior2016

    • Author(s)
      Kiriki, Shin; Li, Ming-Chia; Soma, Teruhiko
    • Journal Title

      Discrete and Continuous Dynamical Systems. Series A

      Volume: 36 Issue: 12 Pages: 7021-7028

    • DOI

      10.3934/dcds.2016105

    • Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25400112, KAKENHI-PROJECT-26400093
  • [Journal Article] Blenders in centre unstable Henon-like families: with an application to heterodimensional bifurcations2014

    • Author(s)
      Lorenzo J. Diaz, Shin Kiriki and Katsutoshi Shinohara
    • Journal Title

      Nonlinearity

      Volume: 27-2 Issue: 3 Pages: 353-378

    • DOI

      10.1088/0951-7715/27/3/353

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400112
  • [Journal Article] Existence of generic cubic homoclinic tangencies for Henon maps,2013

    • Author(s)
      S. Kiriki and T. Soma
    • Journal Title

      Ergodic Theory Dynam. Sys.

      Volume: 33 Issue: 4 Pages: 1029-1051

    • DOI

      10.1017/s0143385712000168

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244005, KAKENHI-PROJECT-22540092, KAKENHI-PROJECT-22540226, KAKENHI-PROJECT-25400112
  • [Journal Article] C^2-robust heterodimensional tangencies2012

    • Author(s)
      S. Kiriki and T. Soma
    • Journal Title

      Nonlinearity

      Volume: Vol.25 Issue: 12 Pages: 3277-3299

    • DOI

      10.1088/0951-7715/25/12/3277

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540092, KAKENHI-PROJECT-22540226
  • [Journal Article] Stabilization of heterodimensional cycles2012

    • Author(s)
      Ch. Bonatti, L.J. Diaz and S. Kiriki
    • Journal Title

      Nonlinearity

      Volume: 25-4 Issue: 4 Pages: 931-960

    • DOI

      10.1088/0951-7715/25/4/931

    • Data Source
      KAKENHI-PROJECT-22540226
  • [Journal Article] Soma Heterodimensional tangencies on cycles leading to strange attractors2010

    • Author(s)
      S. Kiriki, Y. Nishizawa and T.
    • Journal Title

      Discrete Contin. Dyn. Syst

      Volume: 27-1 Issue: 1 Pages: 285-300

    • DOI

      10.3934/dcds.2010.27.285

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540226
  • [Journal Article] Soma Coexistence of homoclinic sets with and without SRB measures in Henon family2010

    • Author(s)
      S. Kiriki, M.-C. Li and T.
    • Journal Title

      Nonlinearity

      Volume: 23-9 Issue: 9 Pages: 2253-2269

    • DOI

      10.1088/0951-7715/23/9/010

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540226
  • [Presentation] Robust pluripotency of wandering dynamics2024

    • Author(s)
      桐木紳
    • Organizer
      2023 年度冬の力学系研究集会
    • Data Source
      KAKENHI-PROJECT-21K03332
  • [Presentation] C1+α-robust tangencies and pluripotent wandering domains for surface diffeomorphisms2023

    • Author(s)
      Shin Kiriki
    • Organizer
      L’atelier franco-japonais sur la dynamique reelle et complexe des applications de Henon
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03332
  • [Presentation] C1+α-robust tangencies and pluripotent wandering domains for surface diffeomorphisms2023

    • Author(s)
      Shin Kiriki
    • Organizer
      French-Japanese Workshop Real and complex dynamics of Henon's Maps
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03332
  • [Presentation] Historic and physical wandering domains for wild blender-horseshoes2022

    • Author(s)
      Shin Kiriki
    • Organizer
      2021 年度 冬の力学系研究集会(九州大学)
    • Data Source
      KAKENHI-PROJECT-21K03332
  • [Presentation] Historic wandering domains for wild blender-horseshoes2021

    • Author(s)
      Shin Kiriki
    • Organizer
      Hyperbolic interweaving in dynamics: celebrating Lorenzo J. Diaz 60th birthday (Polish Academy of Sciences, Institute of Mathematics, Banach Center)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03332
  • [Presentation] Historic behavior in non-hyperbolic homoclinic classes2020

    • Author(s)
      桐木 紳
    • Organizer
      2019年度 冬の力学系研究集会
    • Data Source
      KAKENHI-PROJECT-17K05283
  • [Presentation] Historic behavior for heterodimensional cycles2019

    • Author(s)
      桐木 紳
    • Organizer
      冬の力学系研究集会
    • Data Source
      KAKENHI-PROJECT-17K05283
  • [Presentation] C^2-robust heterodimensional tangencies of codimension 22018

    • Author(s)
      Shin Kiriki
    • Organizer
      2017年度 冬の力学系研究集会
    • Data Source
      KAKENHI-PROJECT-17K05283
  • [Presentation] Robust historic behavior of generic orbits for heterodimensional cycles2018

    • Author(s)
      Shin KIRIKI
    • Organizer
      One day Workshop of Dynamical Systems in Suzhou
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05283
  • [Presentation] ホモクリニック接触と非自明遊走領域: Takens最終問題の解・Colli-Vargas 予想の証明2017

    • Author(s)
      桐木紳
    • Organizer
      2017 日本数学会トポロジー分科会
    • Place of Presentation
      首都大学東京
    • Year and Date
      2017-03-24
    • Data Source
      KAKENHI-PROJECT-25400112
  • [Presentation] Historic behavior for non-trivial wandering domains: Proof of Colli-Vargas' conjecture & Answer to Takens' last problem2017

    • Author(s)
      Shin KIRIKI
    • Organizer
      Kanto Dynamics Days 2017
    • Place of Presentation
      Tokyo University
    • Year and Date
      2017-03-13
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25400112
  • [Presentation] Existence of wandering domains and historic behavior I: a proof of Colli-Vargas conjecture2017

    • Author(s)
      Shin KIRIKI
    • Organizer
      Centro de Matematica da Universidade do Porto
    • Place of Presentation
      Universidade do Porto
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25400112
  • [Presentation] Historic Behavior for Non-trivial Wandering Domains2017

    • Author(s)
      Shin Kiriki
    • Organizer
      2017 NCTS Workshop on Dynamical Systems
    • Data Source
      KAKENHI-PROJECT-17K05283
  • [Presentation] ヘテロ次元サイクルと非自明遊走領域の存在について2017

    • Author(s)
      桐木紳
    • Organizer
      2016年度 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
      2017-01-07
    • Data Source
      KAKENHI-PROJECT-25400112
  • [Presentation] Toward the solution of Takens' Last Problem: Robust historic behavior for wandering domains2016

    • Author(s)
      Shin Kiriki
    • Organizer
      Senior of Dynamical systems in Instituto de Matematica e Statistica, Universidade de Sao Paulo
    • Place of Presentation
      Universidade de Sao Paulo
    • Year and Date
      2016-03-18
    • Data Source
      KAKENHI-PROJECT-25400112
  • [Presentation] Non-trivial wandering domains for heterodimensional cycle2016

    • Author(s)
      Shin Kiriki
    • Organizer
      2015年度 冬の力学系研究集会 (Workshop of Dynamical Systems in Karuizawa, Japan)
    • Place of Presentation
      日本大学軽井沢研修所
    • Year and Date
      2016-01-08
    • Data Source
      KAKENHI-PROJECT-25400112
  • [Presentation] Takens' last problem and existence of non-trivial wandering domains2015

    • Author(s)
      Shin Kiriki
    • Organizer
      DynamIC Workshops: An Afternoon on Henon Dynamical Systems
    • Place of Presentation
      Imperial College London (London, UK)
    • Year and Date
      2015-03-12
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400112
  • [Presentation] Takens' last problem and existence of non-trivial wandering domains2015

    • Author(s)
      Shin Kiriki
    • Organizer
      2015 NCTS Workshop on Dynamical Systems
    • Place of Presentation
      National Center for Theoretical Sciences Mathematics Divison (Taiwan)
    • Year and Date
      2015-05-21
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25400112
  • [Presentation] Takens' last problem and existence of non-trivial wandering domains: Linking lemma, critical chain, non-trivial wandering domains2015

    • Author(s)
      Shin Kiriki
    • Organizer
      2015 Kyoto Dynamical Systems seminar
    • Place of Presentation
      京都大学大学院理学研究科
    • Year and Date
      2015-07-08
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400112
  • [Presentation] Takens' last problem and existence of non-trivial wandering domains2015

    • Author(s)
      Shin Kiriki
    • Organizer
      School and Conference on Dynamical Systems
    • Place of Presentation
      The Abdus Salam International Centre for Theoretical Physics (Italy)
    • Year and Date
      2015-07-21
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25400112
  • [Presentation] Blenders in center unstable Henon-like families: with an application to heterodimensional bifurcations2014

    • Author(s)
      Shin Kiriki
    • Organizer
      日本数学会2014年度年会,トポロジー分科会
    • Place of Presentation
      学習院大学
    • Data Source
      KAKENHI-PROJECT-25400112
  • [Presentation] Blenders in center unstable Henon-like families:with an application to heterodimensional bifurcations2014

    • Author(s)
      Shin Kiriki
    • Organizer
      2013年度冬の力学系研究集会
    • Place of Presentation
      広島大学
    • Data Source
      KAKENHI-PROJECT-25400112
  • [Presentation] C^2-robust heterodimensional tangencies2013

    • Author(s)
      桐木紳(代表者)
    • Organizer
      日本数学会 トポロジー分科会
    • Place of Presentation
      京都大学
    • Data Source
      KAKENHI-PROJECT-22540226
  • [Presentation] C^2-robust heterodimensional tangencies and critical cycles2013

    • Author(s)
      桐木紳(代表者)
    • Organizer
      2013年度冬の力学系研究集会
    • Place of Presentation
      日本大学軽井沢研修所
    • Data Source
      KAKENHI-PROJECT-22540226
  • [Presentation] C^2-robust heterodimensional tangencies2012

    • Author(s)
      桐木紳(代表者)
    • Organizer
      ICTP-ESF School and Conference in Dynamical Systems
    • Place of Presentation
      イタリア ICTP - International Centre for Theoretical Physics
    • Data Source
      KAKENHI-PROJECT-22540226
  • [Presentation] C^2-robust heterodimensional tangencies2012

    • Author(s)
      桐木紳
    • Organizer
      冬の力学系研究集会
    • Place of Presentation
      日大軽井沢研修所
    • Year and Date
      2012-01-10
    • Data Source
      KAKENHI-PROJECT-22540226
  • [Presentation] Renormalized Dynamics near Heterodimensional Tangencies and Existence of Robust Cycles2011

    • Author(s)
      Shin KIRIKI
    • Organizer
      2011 NCTS Workshop on Dynamical Systems
    • Place of Presentation
      台湾,清華大
    • Year and Date
      2011-05-13
    • Data Source
      KAKENHI-PROJECT-22540226
  • [Presentation] Renormalized Dynamics near Heterodimensional Tangencies and Existence of Robust Cycles2011

    • Author(s)
      Shin KIRIKI
    • Organizer
      Symposium on Ergodic Theory and Dynamical Systems, Piece-wise and Low-Dimensional Dynamics
    • Place of Presentation
      イギリス,Warwick大
    • Year and Date
      2011-07-05
    • Data Source
      KAKENHI-PROJECT-22540226
  • [Presentation] Renormalized Dynamics near Heterodimensional Tangencies and Existence of Robust Cycles2011

    • Author(s)
      Shin KIRIKI
    • Organizer
      2011 NCTS Workshop on Dynamical Systems
    • Place of Presentation
      台湾,青華大
    • Year and Date
      2011-05-13
    • Data Source
      KAKENHI-PROJECT-22540226
  • [Presentation] Existence of nontrivial wandering domains near homoclinic tangencies : proof of Colli-Vargas’ conjecture

    • Author(s)
      桐木 紳
    • Organizer
      冬の力学系研究集会
    • Place of Presentation
      日本大学 軽井沢研修所(長野県軽井沢市)
    • Year and Date
      2015-01-09 – 2015-01-12
    • Data Source
      KAKENHI-PROJECT-25400112
  • 1.  SOMA Terhiko (50154688)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 11 results
  • 2.  中野 雄史 (50778313)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 6 results
  • 3.  小川 竜 (90759143)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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