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	https://orcid.org/0000-0002-2263-1933
Affiliation (Current)	2024: 東海大学, 理学部, 教授
Affiliation (based on the past Project Information) *help	2013 – 2022: 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 / ヒストリー性 / 双曲性 / ヘテロ次元サイクル / Takensの最終問題 … More / ディラック物理測度 / ヒストリック挙動 / ブレンダー馬蹄 / 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 / historic behavior / 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 / Takens' Last Problem / homoclinic tangency / wandering domain / 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 / カオス力学系 / Lyapunov非正則集合 / Lyapunov指数 / 微分同相写像 / 創発性 / ヒストリー的挙動 / homoclinic tangency / Lyapunov exponent / diffeomorphism / historic behavior / diffomorphism / 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

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
ヒストリー的挙動を許容する可微分力学系の創発性の研究
- Principal Investigator
  
  相馬輝彦
- 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

[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] 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] 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: 10 results
2. 中野雄史 (50778313)

# of Collaborated Projects: 4 results

# of Collaborated Products: 5 results
3. 小川竜 (90759143)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Kiriki Shin 桐木 紳

KIRIKI Shin 桐木 紳

桐木 紳 キリキ シン

Research Projects

Research Products

Co-Researchers

Dynamical systems with observable Lyapunov irregular sets

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Existence and persistence of historic wandering domains for high-dimensional dynamical systemsPrincipal Investigator

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ヒストリー的挙動を許容する可微分力学系の創発性の研究

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Review Section

Research Institution

Historic behavior of wandering domains for high dimensional dynamicsPrincipal Investigator

Principal Investigator

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Historic behavior for non-trivial wandering domains: proof of Colli-Vargas' conjecture & answer to Takens' last problem)Principal Investigator

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C2 robust heterodimensional tangencies on heterodimensional cyclesPrincipal Investigator

Principal Investigator

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Geometric and topological rigidity theorem for 3-manifolds

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Research Institution

[Book] 数学の問題をうまくきれいに解く秘訣2017

Author(s)

Total Pages

Publisher

ISBN

Data Source

[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)

Total Pages

Publisher

Data Source

[Journal Article] Abundance of Observable Lyapunov Irregular Sets2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Emergence via non-existence of averages2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Historic behavior in nonhyperbolic homoclinic classes2019

Author(s)

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DOI

Data Source

[Journal Article] Historic behaviour for nonautonomous contraction mappings2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Moduli of 3-dimensional diffeomorphisms with saddle-foci2018

Kiriki Shin 桐木紳

KIRIKI Shin 桐木紳

桐木紳キリキシン