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J-GLOBAL ID：200901015658366357 Update date: Jan. 30, 2024

Shishikura Mitsuhiro

シシクラミツヒロ | Shishikura Mitsuhiro

Affiliation and department：
Job title： Professor
Homepage URL (1)： http://www.math.kyoto-u.ac.jp/~mitsu

Research field (1)： Mathematical analysis

Research keywords (5)： bifurcation , fractal , chaos , dynamical systems , Global Analysis

Research theme for competitive and other funds (41)：

2020 - 2025 Construction of new phase-parameter space correspondence for complex dynamics in dimension two
2021 - 2024 Study of Analysis and Geometry of complex spaces
2019 - 2024 Bifurcation and renormalization of real and complex dynamical systems
2017 - 2020 Relation between structure of spaces and analysis
2016 - 2019 Dynamics of transcendental and rational functions

2014 - 2019 カオス的力学系の分岐現象の研究

2015 - 2018 The structure of chaotic regions for area-preserving maps

2013 - 2018 Moduli spaces of algebraic varieties and self-morphisms

2014 - 2017 Relation between algebra, geometry and analysis on fractals

2010 - 2015 Analysis of degenerations and singularities of Kleinian groups and complex dynamics

2011 - 2014 Interaction between areas of Mathematics related to internal structures of fractals

2009 - 2014 Bidirectional research between complex dynamics of polynomials and transcendental entire functions

2010 - 2014 力学系の分岐とくりこみの研究

2006 - 2010 実および複素力学系の複素解析的研究

2008 - 2010 Aspects of Mathematics on Fractals

2005 - 2008 Study of Global Bifurcations of Dynamical Systems for Understandings of Chaos and Systems with Large Degrees of Freedom

2005 - 2008 Research on deformations of real and complex manifolds and variations of invariants

2005 - 2007 高次元放物型不動点の漸近解析の研究

2005 - 2007 Aspects of Mathematics on Fractals

2003 - 2005 複素力学系の研究

2005 - 2005 力学系に付随したコホモロジーと不変測度の研究

2002 - 2005 Study of ergodic properties of partially hyperbolic dynamical systems

2003 - 2004 多変数複素力学系に付随した固有カレントの研究

2002 - 2004 Bifurcation theoretical approach to chaotic dynamics and to systems with large degrees of freedom

2002 - 2004 Mathematical Fundation of Fractals

2001 - 2004 Integrated Study of Complex Analytic Structure

2002 - 2003 多変数複素力学系とフラクタル上のラプラシアンのスペクトル分布の接点

2001 - 2003 Research on Dynamical Systems, Chaos and Fractals Modeled by Billiard Systems in Aspect of Global Analysis

2000 - 2002 Global structure of dynamical systems and their bifurcations

1999 - 2002 Study of the Mathematical structure of singularities

1999 - 2001 複素力学系の研究

1997 - 1999 複素力学系の幾何学的研究

1997 - 1998 STUDY ON THE GROUPS OF DIFFEOMORPHISMS

1995 - 1997 カオス的力学系の研究

1996 - 1997 STUDY OF MODULI SPACE OF RIEMANN SURFACES

1992 - 1994 複素力学系の研究

1992 - 1992 複素多様体からの群の表現の解析

1991 - 1991 多様体上の特異点の研究

1991 - 1991 解析的集合の特異点の幾何構造の研究

1987 - 1989 Chaoticな力学系、特に複素力学系とその分岐現象の研究

complex and real dynamical systems

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Papers (19)：

SHISHIKURA Mitsuhiro. Conformality of quasiconformal mappings at a point, revisited. Ann. Acad. Sci. Fenn. 2018. 43. 981-990
Shishikura Mitsuhiro. Combinatorial representation of irrational rotations and invariant sets around irrationally indifferent fixed points (Dynamical Systems : with Hyperbolicity and with Large Freedom). RIMS Kokyuroku. 2010. 1688. 1-6
Shishikura, Mitsuhiro. The connectivity of the Julia set and fixed points. Complex dynamics, 257-276, A K Peters, Wellesley, MA, 2009. 2009
John Hubbard, Dierk Schleicher, Mitsuhiro Shishikura. Exponential Thurston maps and limits of quadratic differentials. JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY. 2009. 22. 1. 77-117
Kisaka, Masashi, Shishikura, Mitsuhiro. On multiply connected wandering domains of entire functions. Transcendental dynamics and complex analysis, 217-250, London Math. Soc. Lecture Note Ser., 348. 2008. 217-250

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MISC (28)：

KISAKA Masashi, SHISHIKURA Mitsuhiro. Smoothness of hairs for some transcendental entire functions (Research on Complex Dynamics and Related Fields). RIMS Kokyuroku. 2011. 1762. 30-38
KISAKA Masashi, SHISHIKURA Mitsuhiro. Smoothness of hairs for some entire functions (Dynamical Systems : Theories to Applications and Applications to Theories). RIMS Kokyuroku. 2011. 1742. 137-144
宍倉光広. おかしな分数の足し算と連分数. 数学通信. 2011. 15. 4. 5-15
宍倉光広. 複素力学系入門 (特集複素数--その奥深い魅力と広がり). 数理科学. 2009. 47. 8. 30-35
SHISHIKURA MITSUHIRO. PARABOLIC RENORMALIZATION AND ITS CONSEQUENCES(Complex Dynamics and its Related Topics). RIMS Kokyuroku. 2007. 1537. 55-59

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Books (4)：

On a theorem of M. Rees for the matings of polynomials
The Mandelbrot set, Theme and Variations, Cambridge Univ. Press,/,289 2000
Bifurcation of parabolic fixed Points
The Mandelbrot set, Theme and Variations, Cambridge Univ. Press,/,325 2000
An Alternative proof of Mane's theorem on non-expanding Julia sets(共著, with Tan lei)
The Mandelbrot set, Theme and Variations, Cambridge Univ. Press,/,265 2000
Topological, Geometric and Complex Analytic Properties of Julia sets
Proceedings of the International Congress of Mathematicians, Zurich 1994,2/,886 1995

Lectures and oral presentations (1)：

Topological, geometric and complex analytic properties of Julia sets
(International Congress of Mathematicians 1994)

Professional career (2)：

Doctor of Science
Master of Science

Work history (7)：

2001/04 - 現在 Kyoto University Graduate School of Science Professor
1999/04 - 2001/03 Hiroshima University Graduate School of Science Professor
1994/04 - 1999/02 University of Tokyo Graduate School of Mathematical Sciences Associate Professor
1992/06 - 1994/03 Tokyo Institute of Technology Faculty of Science Associate Professor
1989/04 - 1992/05 Tokyo Institute of Technology Faculty of Science Assistant

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Committee career (2)：

2008/04 - 2010/03 日本数学会評議員
2008/04 - 2010/03 日本数学会理事

Awards (4)：

1995 - 日本数学会賞春季賞
1995 - Spring Prize, Mathematical Society of Japan
1992 - サレム賞(Salem Prize)
1992 - Salem Prize

Association Membership(s) (2)：

日本数学会 , Mathematical Society of Japan

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