Ishii Yutaka

イシイユタカ | Ishii Yutaka

Affiliation and department：
Job title： Professor
Homepage URL (1)： https://sites.google.com/site/webpageyutakaishii/

Research field (1)： Mathematical analysis

Research keywords (7)： dynamical systems , complex dynamics , 記号力学系 , virtual reality , fractals , chaos , 量子トンネル現象

Research theme for competitive and other funds (28)：

2022 - 2027 「かたち」と「うごき」を表す高次元データ記述子の開発
2022 - 2025 Singular limits in nearly integrable quantum systems and complex dynamical systems
2020 - 2025 Construction of new phase-parameter space correspondence for complex dynamics in dimension two
2019 - 2024 Bifurcation and renormalization of real and complex dynamical systems
2018 - 2023 Visualization of 4D space by VR and complex dynamics

2018 - 2023 On the creation of chaos in higher dimensions

2015 - 2020 Spectrum of transfer operators for hyperbolic dynamical systems

2013 - 2018 Dynamics of complex Henon maps: from dynamical space to parameter space

2013 - 2016 3D visualization of complex 2-dimensional dynamics

2009 - 2012 Dynamical studyof the parameter space for the complexHenon family

2009 - 2012 Dynamical Barrier and Quantum localization: Theory of Hamiltonian Dynamics with mixed phase space

2008 - 2012 Dynamics on algebraic varieties and Painleve equations

2008 - 2010 Multi-dimensional tunnelling and chaos in complexified phase space

2006 - 2009 Study of functional analytic methods in dynamical system theory

2006 - 2008 Complex dynamics on K3 surfaces as conservative systems

2005 - 2008 Topological and computational methods for dynamical systems basedon the theory of Conley index

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

2003 - 2005 パンルヴェ第VI走方程式の非線型モノドロミーと複素離散力学系

2002 - 2004 二次元複素力学系のコンビナトリアルな研究

2002 - 2004 Topological and computational methods for chaos and global structure of dynamical systems

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

2001 - 2004 Multidimensional Tunnelling Effect and Complexified Classical Dynamics

2000 - 2002 Global structure of dynamical systems and their bifurcations

1999 - 2000 二次元力学系のコンビナトリアルな研究

1998 - 2000 Analytical Problems of a Gaussian measure

量子トンネル現象

複素力学系

記号力学系

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Papers (18)：

Yutaro Himeki, Yutaka Ishii. M_4 is regular-closed. 2020. 40. 1. 213-220
Keigo Matsumoto, Nami Ogawa, Hiroyuki Inou, Shizuo Kaji, Yutaka Ishii, Michitaka Hirose. Polyvision: 4D space manipulation through multiple projections. SIGGRAPH Asia 2019 Emerging Technologies, SA 2019. 2019. 36-37
Zin Arai, Yutaka Ishii, Hiroki Takahasi. Boundary of the horseshoe locus for the H'enon family. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS. 2018. 17. 3. 2234-2248
Zin Arai, Yutaka Ishii. On parameter loci of the H'enon family. COMMUNICATIONS IN MATHEMATICAL PHYSICS. 2018. 361. 2. 343-414
Yutaka Ishii. Dynamics of polynomial diffeomorphisms of C^2: Combinatorial and topological aspects. 2017. 3. 1. 119-173

ｍore...

Education (5)：

Professional career (2)：

Work history (6)：

2018/12 - 現在 Kyushu University, Department of Mathematics, professor
2003/04 - 2018/11 Kyushu University, Department of Mathematics, associate professor
2006/05 - 2006/05 Université de Rennes, professeur invité
1998/01 - 2003/03 Kyushu University, Department of Mathematics, research associate
2002/03 - 2002/04 Université Paris-Sud (Orsay), maitre de conférence (mois d'invité)

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