Sumi Hiroki

スミヒロキ | Sumi Hiroki

Affiliation and department：
Other affiliations (1)：

総合人間学部教授

Homepage URL (1)： http://www.math.h.kyoto-u.ac.jp/~sumi/index-j.html

Research field (2)： Applied mathematics and statistics , Basic mathematics

Research keywords (4)：フラクタル , 複素力学系 , Fractal geometry , Complex dynamical systems

Research theme for competitive and other funds (29)：

2021 - 2026 Analysis of stochastic chaos in nonlinear stochastic differential equations and its applications
2021 - 2024 Study of Analysis and Geometry of complex spaces
2019 - 2024 ランダムな実および複素力学系、正則写像半群とフラクタル幾何学の研究
2019 - 2023 Theoretical study of random dynamical systems through the approach of stochastic processes
2018 - 2023 力学系:理論と応用の新展開

2018 - 2022 Stochastic chaos in random dynamical systems

2017 - 2020 Relation between structure of spaces and analysis

2016 - 2019 Remodelling Kleinin group theory using ergodic theory and complex analysis

2014 - 2018 Progress of fundamentals of excursion theory and development of its novel applications

2015 - 2018 正則写像半群・ランダム複素力学系ならびにフラクタル幾何学の研究

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

2013 - 2017 Combinatorial models of character varieties and the dynamics of group actions there

2010 - 2015 Rational manifolds and Calabi-Yau manifolds in the view of complex dymanics

2012 - 2015 ランダムな複素力学系および正則写像半群の力学系の研究

2010 - 2014 Ergodic-theoretical study of dynamical systems and stochastic processes related to the theory of Teichmuller spaces

2009 - 2012 正則写像半群とランダムな複素力学系の研究

2010 - 2012 Dynamics on curve complexes and asymptotic structure of mapping class groups

2009 - 2011 Indiscrete representations of discrete groups

2006 - 2009 正則写像半群、バンドル上の複素力学系、およびランダムな複素力学系の研究

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

2003 - 2006 正則写像半群ならびにバンドル上の複素力学系の研究

2004 - 2006 ASYMPTOTICAL ANALYSIS FOR EXPONENTIAL FUNCTIONALS IN INFINITE DIMENSIONAL STOCHASTIC MODELS

2001 - 2003 正則写像半群ならびにバンドル上の複素力学系の研究

2001 - 2003 Research on rigidity and finiteness for holomorphic mappings on complex hyperbolic manifolds

2001 - 2003 MATEMATICAL ANALYSIS OF INFINITE DIMENSIONAL STOCHASTIC MODELS

1999 - 2000 Mathematical Study of Critical Phenomena for Statistical Models in Probability

1999 - 2000 Analysis of Infinite-dimensional Markovian Models

1998 - 1998 Rational semigroopの力学系について

Dynamics of rational semigroups and fibered rational maps

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Papers (44)：

Hiroki Sumi, Takayuki Watanabe. Erratum: Non-i.i.d. random holomorphic dynamical systems and the generic dichotomy (2022 Nonlinearity 35 1857). Nonlinearity. 2023. 36. 5. C1-C2
Hiroki Sumi, Takayuki Watanabe. Non-i.i.d. random holomorphic dynamical systems and the generic dichotomy. Nonlinearity. 2022. 35. 4. 1857-1875
Hiroki Sumi. Negativity of Lyapunov Exponents and Convergence of Generic Random Polynomial Dynamical Systems and Random Relaxed Newton’s Methods. Communications in Mathematical Physics. 2021. 384. 3. 1513-1583
Johannes Jaerisch, Hiroki Sumi. Multifractal formalism for generalised local dimension spectra of Gibbs measures on the real line. Journal of Mathematical Analysis and Applications. 2020. 491. 2. 124246-124246
Johannes Jaerisch, Hiroki Sumi. Spectral Gap Property for Random Dynamics on the Real Line and Multifractal Analysis of Generalised Takagi Functions. Communications in Mathematical Physics. 2020. 377. 1. 1-36

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MISC (58)：

角大輝. フラクタル次元. 数理科学2018年2月号特集「幾何学と次元」. 2018. 45-51
Jaerisch Johannes, Sumi Hiroki. HOLDER REGULARITY OF LIMIT STATE FUNCTIONS IN RANDOM COMPLEX DYNAMICAL SYSTEMS (The Theory of Random Dynamical Systems and its Applications). RIMS Kokyuroku. 2015. 1942. 92-97
角大輝. ランダム複素力学系におけるランダム性誘起現象 (ランダム力学系理論とその応用). 数理解析研究所講究録. 2015. 1942. 78-91
Sumi Hiroki. Stability, Bifurcation and Classification of Minimal Sets in Random Complex Dynamics (Integrated Research on Complex Dynamics). RIMS Kokyuroku. 2012. 1807. 94-100
Cooperation principle, stability and bifurcation in random complex dynamics. 2011

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Books (2)：

どうして高校生が数学を学ばなければならないの?
大阪大学出版会 2017
この定理が美しい
数学書房 2009

Lectures and oral presentations (147)：

Random Dynamical Systems of Polynomial Automorphisms on C^{2}
(2023)
Complex two dimensional random relaxed Newton's methods
(ICIAM 2023 2023)
Random Dynamical Systems of Polynomial Automorphisms on C^{2}
(2023)
Random Dynamical Systems of Polynomial Automorphisms on C^{2}
(2023)
Random Dynamical Systems of Polynomial Automorphisms on
(2022)

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Education (5)：

- 1999 Kyoto University
- 1999 Kyoto University
- 1999 Kyoto University Graduate School, Division of Human and Environmental Studies
- 1994 Kyoto University Faculty of Science
- 1994 Kyoto University Faculty of Science

Professional career (2)：

Ph.D(Human and Environmental study) (Kyoto University)
博士(人間・環境学) (京都大学)

Work history (5)：

2017/04 - 現在 Kyoto University Graduate School of Human and Environmental Studies, Department of Human Coexistence
2007/04 - 2017/03 Osaka University Graduate School of Science, Department of Mathematics, Graduate School of Science and Engineering, Mathematics Associate Professor
2005/04 - 2007/03 - 大阪大学大学院理学研究科数学専攻助教授
2007 - - Graduate School of Science, Osaka University, Associate Professor
1999/04 - 2005/03 Tokyo Institute of Technology Graduate School of Science and Engineering, Department of Mathematics

Awards (4)：

2019/09 - Mathematical Society of Japan The 2019 MSJ Analysis Prize Study on semigroups and random dynamics of rational functions of one complex variable
2012/08 - Osaka University President Award (research)
2000 - 日本数学会建部賢弘奨励賞
2000 - Takebe Prize

Association Membership(s) (2)：

日本数学会 , Mathematical Society of Japan

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