Kawahira Tomoki 川平友規

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KAWAHIRA Tomoki 川平友規

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Researcher Number	50377975
Other IDs
Affiliation (Current)	2026: 一橋大学, 大学院経済学研究科, 教授
Affiliation (based on the past Project Information) *help	2021 – 2024: 一橋大学, 大学院経済学研究科, 教授 2020 – 2021: 東京工業大学, 理学院, 特定教授 2020: 東京工業大学, その他部局等, 准教授 2016 – 2020: 東京工業大学, 理学院, 准教授 2014 – 2015: 東京工業大学, 理工学研究科, 准教授 … More 2011 – 2013: 名古屋大学, 多元数理科学研究科, 准教授 2010 – 2012: Nagoya University, 大学院・多元数理科学研究科, 准教授 2009: Nagoya University, 大学大学院・多元数理科学研究科, 助教 2007 – 2009: Nagoya University, 大学院・多元数理科学研究科, 助教 2006: 名古屋大学, 大学院多元数理科学研究科, 助手 2005: 名古屋大学, 大学院・多元数理科学研究科, 助手 Less
Review Section/Research Field	Principal Investigator Basic Section 12010:Basic analysis-related / Global analysis / Basic Section 12020:Mathematical analysis-related / Basic Section 12020:Mathematical analysis-related / Medium-sized Section 12:Analysis, applied mathematics, and related fields / Basic analysis / Geometry Except Principal Investigator Algebra
Keywords	Principal Investigator 複素力学系 / 擬等角写像 / マンデルブロー集合 / Julia集合 / ベルトラミ方程式 / 反正則力学系 / Beltrami方程式 / 放物的分岐 / 構造安定性 / Zalcmanの補題 … More / ラミネーション / 非アルキメデス的力学系 / μ-等角写像 / 正則力学系 / タイヒミュラー理論 / ザルクマンの補題 / 剛性 / サリバンの辞書 / 高次元複素力学系 / 双曲的力学系 / 双曲的集合 / 数論的力学系 / タイヒミュラー空間 / 離散擬等角写像 / リーマン面 / 離散複素解析 / 離散リーマン面 / 精度保証計算 / 数値解析 / 退化ベルトラミ方程式 / 反正則写像 / トライコーン / 退化Beltrami方程式 / 複素解析 / 関数論 / 正則運動 / ジュリア集合の / ジュリア集合 / 国際情報交換 / Teichmuller理論 / Julia 集合 / Tricorn / Mandelbrot集合 / 力学系の剛性 / 双曲幾何 / 双曲的力学系の稠密性 / くりこみ / 無限回くりこみ … More Except Principal Investigator 力学系 / 可積分系 / 差分ガロア理論 / 微分ガロア理論 / 幾何学 / 関数方程式 / 解析学 / 代数学 Less

複素および非アルキメデス的力学系の安定性と無限次元軌道空間の解析Principal Investigator
- Principal Investigator
  
  川平友規
- Project Period (FY)
  2024 – 2028
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Hitotsubashi University
Analysis of mu-conformal mappings and its application to complex dynamicsPrincipal Investigator
- Principal Investigator
  
  KAWAHIRA Tomoki
- Project Period (FY)
  2022 – 2023
- Research Category
  
  Fund for the Promotion of Joint International Research (Fostering Joint International Research (A))
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Hitotsubashi University
  Tokyo Institute of Technology
離散リーマン面の離散擬等角変形理論の基礎づけPrincipal Investigator
- Principal Investigator
  
  川平友規
- Project Period (FY)
  2022 – 2025
- Research Category
  
  Grant-in-Aid for Challenging Research (Exploratory)
- Review Section
  
  Medium-sized Section 12:Analysis, applied mathematics, and related fields
- Research Institution
  Hitotsubashi University
非アルキメデス的体上の力学系とその安定性Principal Investigator
- Principal Investigator
  
  川平友規
- Project Period (FY)
  2020 – 2021
- Research Category
  
  Grant-in-Aid for JSPS Fellows
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Tokyo Institute of Technology
Research on mu-conformal perturbations toward the solution to the Goldberg-Milnor conjecturePrincipal Investigator
- Principal Investigator
  
  KAWAHIRA Tomoki
- Project Period (FY)
  2019 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Hitotsubashi University
  Tokyo Institute of Technology
Goldberg-Milner conjecture and degenerate Beltrami equations in complex dynamicsPrincipal Investigator
- Principal Investigator
  
  Kawahira Tomoki
- Project Period (FY)
  2016 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Tokyo Institute of Technology
Laminations in complex dynamics generated by Zalcman's lemmaPrincipal Investigator
- Principal Investigator
  
  Kawahira Tomoki
- Project Period (FY)
  2012 – 2015
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  Tokyo Institute of Technology
  Nagoya University
General Galois theory for differential and difference equations and its applications to dynamical systems
- Principal Investigator
  
  UMEMURA Hiroshi
- Project Period (FY)
  2008 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
Hyperbolic geometric approaches to rigidity problems in complex dynamicsPrincipal Investigator
- Principal Investigator
  
  KAWAHIRA Tomoki
- Project Period (FY)
  2008 – 2011
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  Nagoya University
正則力学系に付随するラミネーションPrincipal Investigator
- Principal Investigator
  
  川平友規
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Nagoya University

[Book] 入門複素関数2019
- Author(s)
  川平友規
- Total Pages
  233
- Publisher
  裳華房
- ISBN
  4785315792
- Data Source
  KAKENHI-PROJECT-16K05193
[Book] レクチャーズオン Mathematica2013
- Author(s)
  川平友規
- Total Pages
  196
- Publisher
  プレアデス出版
- Data Source
  KAKENHI-PROJECT-24740103
[Journal Article] From hyperbolic to parabolic parameters along internal rays2024
- Author(s)
  Yi-Chiuan Chen and Tomoki Kawahira
- Journal Title
  
  Trans. Amer. Math. Soc.
  
  Volume: 377 Issue: 7 Pages: 4541-4583
- DOI
  10.1090/tran/9080
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K18672, KAKENHI-PROJECT-19K03535, KAKENHI-PROJECT-20KK0310, KAKENHI-PROJECT-24K00533
[Journal Article] Zalcman functions and similarity between the Mandelbrot set, Julia sets, and the tricorn2020
- Author(s)
  Tomoki Kawahira
- Journal Title
  
  Anal. Math. Phys.
  
  Volume: 10
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05193
[Journal Article] Zalcman functions and similarity between the Mandelbrot set, Julia sets, and the tricorn2019
- Author(s)
  Tomoki Kawahira
- Journal Title
  
  Anal. Math. Phys
  
  Volume: 10 Issue: 2
- DOI
  10.1007/s13324-020-00357-4
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03535
[Journal Article] Simple proofs for the derivative estimates of the holomorphic motion near two boundary points of the Mandelbrot set2019
- Author(s)
  Yi-Chiuan Chen and Tomoki Kawahira
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 473 Issue: 1 Pages: 345-356
- DOI
  10.1016/j.jmaa.2018.12.052
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05193
[Journal Article] From Cantor to Semi-hyperbolic Parameter along External Rays2019
- Author(s)
  Yi-Chiuan Chen and Tomoki Kawahira
- Journal Title
  
  To appear in Transactions of the American Mathematical Society
  
  Volume: 印刷中
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05193
[Journal Article] The Riemann Hypothesis and Holomorphic Index in Complex Dynamics2016
- Author(s)
  Tomoki Kawahira
- Journal Title
  
  Experimental Mathematics
  
  Volume: 印刷中 Issue: 1 Pages: 37-46
- DOI
  10.1080/10586458.2016.1217443
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-16K05193
[Journal Article] Quatre applications du lemme de Zalcman a la dynamique complexe2014
- Author(s)
  Tomoki Kawahira
- Journal Title
  
  J.Anal.Math
  
  Volume: 124 Issue: 1 Pages: 309-334
- DOI
  10.1007/s11854-014-0034-5
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24740103
[Journal Article] Quatre application du lemme de Zalcman a la dynamique complexe2014
- Author(s)
  T.Kawahira
- Journal Title
  
  J. Anal. Math.
  
  Volume: 未定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740103
[Journal Article] On the natural extensions of dynamics with a Siegel or Cremer point2012
- Author(s)
  C. Cabrera and T. Kawahira
- Journal Title
  
  J. Diff. Equ. Appl
  
  Volume: 19 Issue: 5 Pages: 701-711
- DOI
  10.1080/10236198.2012.681780
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740092, KAKENHI-PROJECT-24740103
[Journal Article] Family of invariant Cantor sets as orbits of differential equations II : Julia sets.2011
- Author(s)
  Y-C Chen, T.Kawahira, H-L Li, J-M Yuan
- Journal Title
  
  Inter.J .Bifur.& Chaos. 21
  
  Pages: 77-99
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740092
[Journal Article] Family of invariant cantor sets as orbits of differential equations, II : Julia sets2011
- Author(s)
  Y-C.Chen, T.Kawahira, H-L.Li, J-M.Yuan
- Journal Title
  
  Inter.J.Bifur.& Chaos
  
  Volume: 21 Pages: 77-79
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740092
[Journal Article] Family of invariant Cantor sets as orbits of differential equations, II : Julia sets2011
- Author(s)
  Y.-C. Chen, T. Kawahira, H-L Li, and J-M Yuan
- Journal Title
  
  Inter. J. Bifur. & Chaos
  
  Volume: 21 Pages: 77-99
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740092
[Journal Article] Topology of the regular part for infinitely renormalizable quadratic polynomials2010
- Author(s)
  Kawahira Tomoki
- Journal Title
  
  Fund. Math
  
  Volume: 208 Pages: 35-56
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540041
[Journal Article] Toppology of the regular part for inifinitely renormalizable quadratic polynomials.2010
- Author(s)
  Kawahira Tomoki
- Journal Title
  
  Fund.Math. 208
  
  Pages: 35-56
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540041
[Journal Article] Some new applications of Zalcman's lemma to complex dynamics2010
- Author(s)
  T. Kawahira
- Journal Title
  
  RIMS Kokyuroku
  
  Volume: 1699 Pages: 44-61
- Data Source
  KAKENHI-PROJECT-20740092
[Journal Article] Topology of the regular part for infinitely renormalizable quadratic polynomials2010
- Author(s)
  T.Kawahira
- Journal Title
  
  Fund.Math.
  
  Volume: 208 Pages: 35-56
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540041
[Journal Article] Some new applications of Zalcman's lemma to complex dynamics.(In Japanese).2010
- Author(s)
  T.Kawahira.
- Journal Title
  
  RIMS Kokyuroku 1699
  
  Pages: 44-61
- Data Source
  KAKENHI-PROJECT-20740092
[Journal Article] Tessellation and Lyubich-Minsky laminations associated with quadratic maps I : Pinching semiconjugacies.2009
- Author(s)
  T.Kawahira.
- Journal Title
  
  Ergodic Theory Dynam.Systems 29,no 2
  
  Pages: 579-612
- NAID
  120002603244
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740092
[Journal Article] Tessellation and Lyubich-Minsky laminations associated with quadratic maps II.2009
- Author(s)
  Kawahira Tomoki
- Journal Title
  
  Topological structures of 3-laminations, Comform. Geom. Dyn.
  
  Volume: 13 Pages: 6-75
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540041
[Journal Article] Tessellation and Lyubich-Minsky laminations associated with quadratic maps II : Topological structures of 3-laminations2009
- Author(s)
  T. Kawahira
- Journal Title
  
  Conformal Geom. Dyn
  
  Volume: 13 Pages: 6-75
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740092
[Journal Article] Topology of the regular part for infinitely renormalizable quadratic polynomials.2009
- Author(s)
  C.Cabrera, T.Kawahira.
- Journal Title
  
  Fund.Math. 208
  
  Pages: 35-56
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740092
[Journal Article] Tessellation and Lyubich-Minsky laminations associated with quadratic maps I : Pinching semiconjugacies2009
- Author(s)
  Tomoki Kawahira
- Journal Title
  
  Ergodic Th. & Dynam. Sys. 29
  
  Pages: 579-612
- NAID
  120002603244
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740092
[Journal Article] Tessellation and Lyubich-Minsky laminations associated with quadratic maps II : Topological structures of 3-laminations2009
- Author(s)
  Tomoki Kawahira
- Journal Title
  
  Conform. Geom. Dynam. 13
  
  Pages: 6-75
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740092
[Journal Article] Topology of the regular part for infinitely renormalizable quadratic polynomials2009
- Author(s)
  C.Cabrera, T.Kawahira
- Journal Title
  
  Fund.Math. 208
  
  Pages: 35-56
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740092
[Journal Article] Tessellation and Lyubich-Minsky laminations associated with quadratic maps I.2009
- Author(s)
  Kawahira Tomoki
- Journal Title
  
  Pinching semicomjugacies. Ergodic theory Dynam. Systems
  
  Volume: 29
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540041
[Journal Article] Tessellation and Lyubich-Minsky laminations associated with quadratic maps II: Topological structures of 3-laminations.2009
- Author(s)
  T.Kawahira.
- Journal Title
  
  Conformal Geom.Dyn. 13
  
  Pages: 6-75
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740092
[Journal Article] Tessellation and Lyubich-Minsky laminations associated with quadratic maps I : Pinching semiconjugacies2009
- Author(s)
  T. Kawahira
- Journal Title
  
  Ergodic Theory Dynam. Systems
  
  Volume: 29, no2 Pages: 579-612
- NAID
  120002603244
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740092
[Journal Article] Tessellation and Lyubich-Minsky laminations associated with quadratic maps I. Pinching semicomjugacies.2009
- Author(s)
  Kawahira Tomoki
- Journal Title
  
  Ergodic theory Dynam.Systems 29(有)
  
  Pages: 2-2
- Data Source
  KAKENHI-PROJECT-20540041
[Journal Article] Tessellation and Lyubich-Minsky laminations associated with quadratic maps II. Topological structures of 3-laminations2009
- Author(s)
  Kawahira Tomoki
- Journal Title
  
  Comform.Geom.Dyn. 13
  
  Pages: 6-75
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540041
[Journal Article] Topology of the regular part for infinitely renormalizable quadratic polynomials2009
- Author(s)
  C. Cabrera and T. Kawahira
- Journal Title
  
  Fund. Math
  
  Volume: 208 Pages: 35-56
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740092
[Journal Article] Tessellation and Lyubich-Minsky laminations associated with quadratic maps I: Pinching semiconjugacies.2008
- Author(s)
  Tomoki Kawahira
- Journal Title
  
  Ergodic Th. & Dynam. Sys. 未定(未定)
- NAID
  120002603244
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17740035
[Journal Article] Rigidity of Riemann surface laminations associated with infinitely renormalizable quadratic maps2008
- Author(s)
  Tomoki Kawahira
- Journal Title
  
  数理解析研究所講究録 1586
  
  Pages: 160-168
- Data Source
  KAKENHI-PROJECT-20740092
[Journal Article] A proof of simultaneous linearization with a polylog estimate2007
- Author(s)
  Tomoki Kawahira
- Journal Title
  
  Bull. Polish Acad. Sci. Math 55
  
  Pages: 43-52
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17740035
[Journal Article] Simultaneous linearization and its application.2007
- Author(s)
  Tomoki Kawahira
- Journal Title
  
  数理解析研究所講究録 1537
  
  Pages: 143-149
- Data Source
  KAKENHI-PROJECT-17740035
[Journal Article] A proof of simultaneous linearization with a polylog estimate2007
- Author(s)
  TomoKi Kawahira
- Journal Title
  
  Bull. Polish. Acad. Sci. Math. 55(未定)
- Data Source
  KAKENHI-PROJECT-17740035
[Journal Article] Semiconjugacies between the Julia set of geometrically finite rational maps II2006
- Author(s)
  Tomoki Kawahira
- Journal Title
  
  Dynamics on the Riemann Sphere"(A Bodil Branner Festschrift)
  
  Pages: 131-138
- Data Source
  KAKENHI-PROJECT-17740035
[Journal Article] Family of invariant cantor sets as orbits of differential equations, II : Julia sets
- Author(s)
  Y-C.Chen, T.Kawahira, H-L.Li, J-M.Yuan
- Journal Title
  
  Inter.J.Bifur.& Chaos (未定)(掲載決定済み)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740092
[Presentation] Zalcman's lemma in higher dimensions and applications in two dimensional complex dynamics2025
- Author(s)
  川平友規
- Organizer
  日本数学会・年会
- Data Source
  KAKENHI-PROJECT-24K00533
[Presentation] Zalcman's lemma in higher dimensions and applications in two dimensional complex dynamics2025
- Author(s)
  川平友規
- Organizer
  日本数学会・年会
- Data Source
  KAKENHI-PROJECT-22K18672
[Presentation] Toward numerical methods for global solutions of the Beltrami equations2025
- Author(s)
  川平友規
- Organizer
  「等角写像論・値分布論」合同研究集会
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K18672
[Presentation] Zalcman functions and hyperbolic 3-laminations in complex dynamics of dimension two2024
- Author(s)
  Tomoki Kawahira
- Organizer
  RIMS 共同研究(公開型)「複素力学系とその周辺分野の最近の進展」
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24K00533
[Presentation] Zalcmanの補題とその高次元化について2024
- Author(s)
  川平友規
- Organizer
  第58回函数論サマーセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-22K18672
[Presentation] Zalcman functions and hyperbolic 3-laminations in complex dynamics of dimension two2024
- Author(s)
  Tomoki Kawahira
- Organizer
  RIMS 共同研究(公開型)「複素力学系とその周辺分野の最近の進展」
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K18672
[Presentation] On trans-qc perturbations of parabolic points2024
- Author(s)
  Tomoki Kawahira
- Organizer
  2024 NCTS Workshop on Dynamical Systems
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24K00533
[Presentation] 複素力学系のアナロジー，あるいはアンソロジー2024
- Author(s)
  川平友規
- Organizer
  日本数学会秋季総合分科会
- Invited
- Data Source
  KAKENHI-PROJECT-24K00533
[Presentation] J-stability in complex and non-Archimedean dynamics2024
- Author(s)
  Tomoki Kawahira
- Organizer
  RIMS 共同研究(公開型)「力学系の理論と応用」
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24K00533
[Presentation] On trans-qc perturbations of parabolic points2024
- Author(s)
  Tomoki Kawahira
- Organizer
  2024 NCTS Workshop on Dynamical Systems
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K18672
[Presentation] Zalcmanの補題とその高次元化について2024
- Author(s)
  川平友規
- Organizer
  第58回函数論サマーセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-24K00533
[Presentation] 複素力学系のアナロジー，あるいはアンソロジー2024
- Author(s)
  川平友規
- Organizer
  日本数学会秋季総合分科会
- Invited
- Data Source
  KAKENHI-PROJECT-22K18672
[Presentation] Zalcman functions for holomorphic diffeomorphisms of C22023
- Author(s)
  Tomoki Kawahira
- Organizer
  Atelier franco-japonais de dynamiques reelles et complexes
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20KK0310
[Presentation] Derivatives of mildly degenerating holomorphic motions of the quadratic Julia sets2023
- Author(s)
  Tomoki Kawahira
- Organizer
  Workshop on Holomorphic Dynamics --- MLC and tools for studying it
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K18672
[Presentation] Derivatives of mildly degenerating holomorphic motions of the quadratic Julia sets2023
- Author(s)
  Tomoki Kawahira
- Organizer
  Workshop on Holomorphic Dynamics --- MLC and tools for studying it
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03535
[Presentation] Visualization of quasiconformal deformations of holomorphic dynamics2023
- Author(s)
  Tomoki Kawahira
- Organizer
  Holomorphic Day
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20KK0310
[Presentation] Derivatives of mildly degenerating holomorphic motions of the quadratic Julia sets2023
- Author(s)
  Tomoki Kawahira
- Organizer
  Workshop on Holomorphic Dynamics --- MLC and tools for studying it
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20KK0310
[Presentation] Similarity between the Mandelbrot set and the Julia sets, and more2023
- Author(s)
  Tomoki Kawahira
- Organizer
  Around the Mandelbrot set: A conference celebrating the 60th birthday of Mitsuhiro Shishikura
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K18672
[Presentation] Similarity between the Mandelbrot set and the Julia sets, and more2023
- Author(s)
  Tomoki Kawahira
- Organizer
  Around the Mandelbrot set: A conference celebrating the 60th birthday of Mitsuhiro Shishikura
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20KK0310
[Presentation] Similarity between the Mandelbrot set and the Julia sets, and more2023
- Author(s)
  Tomoki Kawahira
- Organizer
  Around the Mandelbrot set: A conference celebrating the 60th birthday of Mitsuhiro Shishikura
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03535
[Presentation] Visualization of quasiconformal deformations of holomorphic dynamics2023
- Author(s)
  Tomoki Kawahira
- Organizer
  Holomorphic Day
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03535
[Presentation] Visualization of quasiconformal deformations of holomorphic dynamics2023
- Author(s)
  Tomoki Kawahira
- Organizer
  Holomorphic Day
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K18672
[Presentation] Zalcman functions for holomorphic diffeomorphisms of C22023
- Author(s)
  Tomoki Kawahira
- Organizer
  Atelier franco-japonais de dynamiques reelles et complexes
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K18672
[Presentation] Zalcman functions for holomorphic diffeomorphisms of C22023
- Author(s)
  Tomoki Kawahira
- Organizer
  Atelier franco-japonais de dynamiques reelles et complexes
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03535
[Presentation] J-stability in complex and non-Archimedean dynamics2022
- Author(s)
  川平友規
- Organizer
  2022 NCTS Japan-Taiwan Joint Workshop on Dynamical Systems
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K18672
[Presentation] J-stability in complex and non-Archimedean dynamics2022
- Author(s)
  川平友規
- Organizer
  2022 NCTS Japan-Taiwan Joint Workshop on Dynamical Systems
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03535
[Presentation] Visualization of quasiconformal deformations of holomorphic dynamics2022
- Author(s)
  川平友規
- Organizer
  RIMS 共同研究「複素力学系と関連分野」
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03535
[Presentation] Visualization of quasiconformal deformations of holomorphic dynamics2022
- Author(s)
  川平友規
- Organizer
  RIMS 共同研究「複素力学系と関連分野」
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K18672
[Presentation] Derivatives of mildly degenerating holomorphic motions of the quadratic Julia sets2021
- Author(s)
  川平友規
- Organizer
  RIMS研究集会「複素力学系の諸相」
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03535
[Presentation] Derivatives of mildly degenerating holomorphic motions of the quadratic Julia sets2021
- Author(s)
  Tomoki Kawahira
- Organizer
  RIMS 共同研究「複素力学系の諸相」
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20F20024
[Presentation] 正則力学系の擬等角変形の可視化について2021
- Author(s)
  川平友規
- Organizer
  第64回函数論シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-19K03535
[Presentation] Visualizing quasiconformal deformations of the dynamics: a worked out example2020
- Author(s)
  Tomoki Kawahira
- Organizer
  RIMS 共同研究「複素力学系理論の総合的研究」
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20F20024
[Presentation] Visualizing quasiconformal deformations of the dynamics: a worked out example2020
- Author(s)
  Tomoki Kawahira
- Organizer
  RIMS研究集会「複素力学系理論の総合的研究」
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03535
[Presentation] The Riemann Hypothesis and Holomorphic Index in Complex Dynamics2019
- Author(s)
  Tomoki Kawahira
- Organizer
  TMS meeting at Taichung
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05193
[Presentation] Derivatives of mildly degenerating holomorphic motions of the quadratic Julia sets\\2019
- Author(s)
  Tomoki Kawahira
- Organizer
  NCTS Workshop on Dynamical Systems
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05193
[Presentation] Riemann hypothesis and complex dynamics.2019
- Author(s)
  Tomoki Kawahira
- Organizer
  Value distribution of zeta and L-functions and related topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05193
[Presentation] The Beltrami equations and its application to complex dynamics2019
- Author(s)
  Tomoki Kawahira
- Organizer
  The 6th Uppsala University -- Tokyo Tech Joint Symposium
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05193
[Presentation] The Riemann Hypothesis and Holomorphic Index in Complex Dynamics2019
- Author(s)
  Tomoki Kawahira
- Organizer
  TMS meeting at Taichung
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03535
[Presentation] The Beltrami equations and its application to complex dynamics2019
- Author(s)
  Tomoki Kawahira
- Organizer
  The 6th Uppsala University -- Tokyo Tech Joint Symposium
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03535
[Presentation] Derivatives of mildly degenerating holomorphic motions of the quadratic Julia sets2019
- Author(s)
  Tomoki Kawahira
- Organizer
  NCTS Workshop on Dynamical Systems
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03535
[Presentation] Almost affine copies of the Julia sets in the Mandelbrot set2018
- Author(s)
  Tomoki Kawahira
- Organizer
  RIMS研究集会「複素力学系研究とその発展」
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05193
[Presentation] On dynamical and parametric Zalcman functions2018
- Author(s)
  Tomoki Kawahira
- Organizer
  Perspectives in Modern Analysis International Conference in honor of Dov Aharonov, Samuel Krushkal, Simeon Reich, and Lawrence Zalcman
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05193
[Presentation] Almost affine copies of the Julia sets in the Mandelbrot set2018
- Author(s)
  Tomoki Kawahira
- Organizer
  The Boston-Keio Workshop 2018
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05193
[Presentation] Almost conformal copies of the Julia sets in the Mandelbrot set2017
- Author(s)
  Tomoki Kawahira
- Organizer
  2017年度日本数学会秋季総合分科会・函数論分科会
- Data Source
  KAKENHI-PROJECT-16K05193
[Presentation] Almost conformal copies of the Julia sets in the Mandelbrot set2017
- Author(s)
  Tomoki Kawahira
- Organizer
  NTCS Workshop on Dynamical Systems 2017
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05193
[Presentation] On Dynamical and Parametric Zalcman Functions2017
- Author(s)
  Tomoki Kawahira
- Organizer
  CMTF 2017
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05193
[Presentation] On Dynamical and Parametric Zalcman Functions2017
- Author(s)
  Tomoki Kawahira
- Organizer
  RIMS Workshop on Complex Dynamics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05193
[Presentation] The Riemann hypothesis and holomorphic index in complex dynamics2017
- Author(s)
  Tomoki Kawahira
- Organizer
  Residues, Dynamics and Hyperfunctions
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05193
[Presentation] On dynamical and parametric Zalcman functions2017
- Author(s)
  Tomoki Kawahira
- Organizer
  平成28年度等角写像論・値分布論研究集会
- Place of Presentation
  千葉大学
- Year and Date
  2017-01-22
- Invited
- Data Source
  KAKENHI-PROJECT-16K05193
[Presentation] Similarity between the Mandelbrot set and the Julia sets2016
- Author(s)
  Tomoki Kawahira
- Organizer
  The 3rd UU-TT Symposium
- Place of Presentation
  Uppsala university
- Year and Date
  2016-09-13
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05193
[Presentation] From Cantor to Misiurewicz along parameter ray2016
- Author(s)
  Tomoki Kawahira
- Organizer
  2016 NCTS Workshop on Dynamical Systems and 2016
- Place of Presentation
  国立台湾大学
- Year and Date
  2016-08-15
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05193
[Presentation] From Cantor to Misiurewicz along parameter rays2016
- Author(s)
  川平友規
- Organizer
  日本数学会
- Place of Presentation
  筑波大学
- Year and Date
  2016-03-16
- Data Source
  KAKENHI-PROJECT-24740103
[Presentation] On the derivatives of degenerating holomorphic motions of hyperbolic quadratic Julia sets2016
- Author(s)
  Tomoki Kawahira
- Organizer
  複素力学系およびそのモヂュライ等の関連分野の研究
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2016-12-14
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05193
[Presentation] The Riemann hypothesis and holomorphic index in complex dynamics2016
- Author(s)
  Tomoki Kawahira
- Organizer
  函数論シンポジウム
- Place of Presentation
  静岡県男女共同参画センターあざれあ
- Year and Date
  2016-10-09
- Invited
- Data Source
  KAKENHI-PROJECT-16K05193
[Presentation] The Riemann hypothesis and holomorphic index in complex dynamics2016
- Author(s)
  川平友規
- Organizer
  日本数学会
- Place of Presentation
  筑波大学
- Year and Date
  2016-03-16
- Data Source
  KAKENHI-PROJECT-24740103
[Presentation] 複素力学系とリーマン予想，固定点の正則指数2016
- Author(s)
  川平友規
- Organizer
  冬の力学系研究集会
- Place of Presentation
  日大軽井沢研修所
- Year and Date
  2016-01-09
- Data Source
  KAKENHI-PROJECT-24740103
[Presentation] From Cantor to Misiurewicz along parameter ray2015
- Author(s)
  川平友規
- Organizer
  RIMS研究集会「複素力学系の深化」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2015-12-08
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24740103
[Presentation] From Cantor to Misiurewicz along parameter rays2015
- Author(s)
  川平友規
- Organizer
  RIMS研究集会「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
- Year and Date
  2015-07-02
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24740103
[Presentation] The Riemann hypothesis and holomorphic index in complex dynamics2015
- Author(s)
  川平友規
- Organizer
  RIMS研究集会「複素力学系の深化」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2015-12-09
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24740103
[Presentation] Denseness of repelling cycles in the Julia set and its parameter analogue2012
- Author(s)
  T. Kawahira
- Organizer
  Complex and P-adic Dynamics Tutorial Week
- Place of Presentation
  ICERM, Brown University, USA
- Year and Date
  2012-02-09
- Data Source
  KAKENHI-PROJECT-20740092
[Presentation] 複素力学系から生成されるリーマン面ラミネーション2012
- Author(s)
  川平友規
- Organizer
  複素力学系研究集会--複素力学系の総合的研究--
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2012-01-26
- Data Source
  KAKENHI-PROJECT-20740092
[Presentation] 複素力学系から生成されるリーマン面ラミネーション2012
- Author(s)
  川平友規
- Organizer
  2011年度複素力学系研究集会-複素力学系の総合的研究-
- Place of Presentation
  京都大学数理解析研究所420号室
- Year and Date
  2012-01-26
- Data Source
  KAKENHI-PROJECT-20740092
[Presentation] Zalcmanの補題が生成する複素力学系のリーマン面ラミネーション2011
- Author(s)
  川平友規
- Organizer
  研究集会「複素解析的ベクトル場・葉層構造とその周辺」
- Place of Presentation
  龍谷大学セミナーハウスともいき荘
- Year and Date
  2011-12-09
- Data Source
  KAKENHI-PROJECT-20740092
[Presentation] Zalcmanの補題:複素力学系への3つの応用2009
- Author(s)
  川平友規
- Organizer
  第52回函数論シンポジウム
- Place of Presentation
  大阪府立大
- Year and Date
  2009-10-23
- Data Source
  KAKENHI-PROJECT-20740092
[Presentation] Some new applications of Zalcman's lemma to complex dynamics.2009
- Author(s)
  川平友規
- Organizer
  RIMS研究集会「複素力学系とその関連分野の総合的研究」
- Place of Presentation
  京都大学
- Year and Date
  2009-12-15
- Data Source
  KAKENHI-PROJECT-20740092
[Presentation] Some new applications of Zalcman's lemma to complex dynamics2009
- Author(s)
  川平友規
- Organizer
  RIMS研究集会「複素力学系とその関連分野の総合的研究」
- Place of Presentation
  京都大学
- Year and Date
  2009-12-15
- Data Source
  KAKENHI-PROJECT-20740092
[Presentation] Zalcmanの補題:複素力学系への3つの応用2009
- Author(s)
  川平友規
- Organizer
  第52回函数論シンポジウム
- Place of Presentation
  大阪府立大学
- Year and Date
  2009-11-21
- Data Source
  KAKENHI-PROJECT-20740092
[Presentation] Topology of the Lyubich-Minsky lamination : Deformation and rigidity2008
- Author(s)
  川平友規
- Organizer
  Journe' es de Dynamique Complexe
- Place of Presentation
  Universite' de Paris VI
- Data Source
  KAKENHI-PROJECT-20740092
[Presentation] 複素力学系理論からみたゼータ関数共同研究企画2008
- Author(s)
  川平友規
- Organizer
  L関数の値分布と関係する数論的な諸関数の研究
- Place of Presentation
  京都大学
- Year and Date
  2008-07-03
- Data Source
  KAKENHI-PROJECT-20740092
[Presentation] Topology of the Lyubich-Minsky lamination : Deformation and rigidity.2008
- Author(s)
  川平友規
- Organizer
  Journe'es de Dynamique Complexe
- Place of Presentation
  Universite' de Paris VI.
- Data Source
  KAKENHI-PROJECT-20740092
[Presentation] 複素力学系理論からみたゼータ関数2008
- Author(s)
  川平友規
- Organizer
  共同研究企画「L関数の値分布と関係する数論的な諸関数の研究」
- Place of Presentation
  京都大学
- Year and Date
  2008-07-03
- Data Source
  KAKENHI-PROJECT-20740092
[Presentation] Topology of the Lyubichr-Minskylamination : Deformation and rigidity2008
- Author(s)
  Tomoki Kawahira
- Organizer
  Journees de Dynamique Complexe
- Place of Presentation
  Institut de Mathematique de Jussieu
- Data Source
  KAKENHI-PROJECT-20740092
[Presentation] Rigidity of Riemann surface laminations associated with infinitely renormalizable quadratic maps2007
- Author(s)
  川平友規
- Organizer
  複素力学系研究集会
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2007-09-06
- Data Source
  KAKENHI-PROJECT-17740035
[Presentation] Zalcmanの補題と複素力学系
- Author(s)
  川平友規
- Organizer
  2013年度日本数学会年会・函数論分科会
- Place of Presentation
  京都大学
- Invited
- Data Source
  KAKENHI-PROJECT-24740103
[Presentation] タイヒミュラー空間の基礎のキソ
- Author(s)
  川平友規
- Organizer
  第47回函数論サマーセミナー
- Place of Presentation
  かんぽの宿　鳥羽
- Invited
- Data Source
  KAKENHI-PROJECT-24740103
[Presentation] On dynamical and parametric Zalcman functoins
- Author(s)
  川平友規
- Organizer
  2012年度複素力学系研究集会 -- 複素力学系の新展開 --
- Place of Presentation
  京都大学
- Invited
- Data Source
  KAKENHI-PROJECT-24740103
[Presentation] 双曲型Riemann面のTeichmuller空間と複素力学系
- Author(s)
  川平友規
- Organizer
  複素解析的ベクトル場・葉層構造とその周辺
- Place of Presentation
  龍谷大学セミナーハウスともいき荘
- Invited
- Data Source
  KAKENHI-PROJECT-24740103

1. UMEMURA Hiroshi (40022678)

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2. 須川敏幸 (30235858)

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3. 田中亮吉 (80629759)

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4. 島内宏和 (90759200)

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5. 稲生啓行 (00362434)

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6. LEE JUNGHUN

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Kawahira Tomoki 川平 友規

KAWAHIRA Tomoki 川平 友規

Research Projects

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複素および非アルキメデス的力学系の安定性と無限次元軌道空間の解析Principal Investigator

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Analysis of mu-conformal mappings and its application to complex dynamicsPrincipal Investigator

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離散リーマン面の離散擬等角変形理論の基礎づけPrincipal Investigator

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非アルキメデス的体上の力学系とその安定性Principal Investigator

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Research on mu-conformal perturbations toward the solution to the Goldberg-Milnor conjecturePrincipal Investigator

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Goldberg-Milner conjecture and degenerate Beltrami equations in complex dynamicsPrincipal Investigator

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Laminations in complex dynamics generated by Zalcman's lemmaPrincipal Investigator

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General Galois theory for differential and difference equations and its applications to dynamical systems

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Hyperbolic geometric approaches to rigidity problems in complex dynamicsPrincipal Investigator

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正則力学系に付随するラミネーションPrincipal Investigator

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[Book] 入門複素関数2019

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[Book] レクチャーズ オン Mathematica2013

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[Journal Article] From hyperbolic to parabolic parameters along internal rays2024

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Kawahira Tomoki 川平友規

KAWAHIRA Tomoki 川平友規

[Book] レクチャーズオン Mathematica2013