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J-GLOBAL ID：200901054980811337
Update date: Jan. 30, 2024
Inou Hiroyuki
イノウ ヒロユキ | Inou Hiroyuki
Affiliation and department：
Kyoto University Department of Mathematics, Graduate School of Science
About Kyoto University Department of Mathematics, Graduate School of Science
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Detailed information
Job title：
Associate professor
Homepage URL (1)：
http://www.math.kyoto-u.ac.jp/~inou/
Research field (1)：
Mathematical analysis
Research keywords (5)：
くりこみ
, 複素力学系
, connectedness locus
, renormalization
, complex dynamical system
Research theme for competitive and other funds (17)：
2022 - 2027 くりこみによる複素力学系のパラメータ空間の研究とその可視化
2019 - 2024 Bifurcation and renormalization of real and complex dynamical systems
2018 - 2023 Visualization of 4D space by VR and complex dynamics
2018 - 2023 複素力学系の分岐によるパラメータ空間の構造の研究とその可視化
2014 - 2020 Bifurcation of chaotic dynamical systems
2014 - 2018 Bifurcation in parameter spaces of holomorphic and anti-holomorphic dynamics and its visualization
2010 - 2015 Research on the bifurcation and renormalization of dynamical systems
2010 - 2014 Research on parameter spaces in complex dynamics
2009 - 2014 Bidirectional research between complex dynamics of polynomials and transcendental entire functions
2006 - 2009 Complex analytic study of real and complex dynamical systems
2005 - 2008 Study of Global Bifurcations of Dynamical Systems for Understandings of Chaos and Systems with Large Degrees of Freedom
2005 - 2007 くりこみ理論の再定式化を用いた複素力学系のパラメータ空間の研究
2003 - 2006 Research on Complex Dynamics
2002 - 2002 くりこみの理論の拡張による高次多項式の力学系の研究
1999 - 2001 複素力学系におけるくりこみと双曲型写像の稠密性
2000 - 多項式の力学系のパラメータ空間に関する研究
2000 - Study on the parameter space of dynamics of polynomials
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Papers (15)：
Hiroyuki Inou, Sabyasachi Mukherjee. On the support of the bifurcation measure of cubic polynomials. Mathematische Annalen. 2019
Hiroyuki Inou. Self-Similarity for the Tricorn. Experimental Mathematics. 2018. 1
Hiroyuki Inou, Sabyasachi Mukherjee. Non-landing parameter rays of the multicorns. INVENTIONES MATHEMATICAE. 2016. 204. 3. 869-893
Hiroyuki Inou, Jan Kiwi. Combinatorics and topology of straightening maps, I: Compactness and bijectivity. ADVANCES IN MATHEMATICS. 2012. 231. 5. 2666-2733
Hiroyuki Inou. Extending local analytic conjugacies. Transactions of the American Mathematical Society. 2011. 363. 1. 331-343
ｍore...
MISC (2)：
Hiroyuki Inou, Sabyasachi Mukherjee. Discontinuity of straightening in antiholomorphic dynamics. 2016
Hiroyuki Inou. Combinatorics and topology of straightening maps II: Discontinuity. 2009
Professional career (2)：
Master (Science) (Kyoto University)
Doctor (Science) (Kyoto University)
Work history (4)：
2018/11 - 現在 Kyoto University Graduate School of Science Division of Mathematics Associate professor
2009/10 - 2018/10 Kyoto University Graduate School of Science Division of Mathematics Senior lecturer
2007/04 - 2009/09 Kyoto University Graduate School of Science Division of Mathematics Assistant professor
2002/12 - 2007/03 Kyoto University Graduate School of Science Division of Mathematics Assistant
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