Shinohara Katsutoshi

シノハラカツトシ | Shinohara Katsutoshi

Affiliation and department：
Job title： Professor

Research field (1)： Mathematical analysis

Research theme for competitive and other funds (9)：

2023 - 2027 Development of Fundamental Theory for Communication and Sensing over a doubly selective channel in highly mobile environment
2021 - 2024 Investigation of non-uniformly hyperbolic dynamical systems: collaoborative research between numerics and theories
2019 - 2022 Eavesdropping-Resistant Sparse Code Division Multiple Access System using a random number sequence based on dynamical systems
2018 - 2022 On the structure and the bifurcation of non-hyperbolic attracting regions: theory and numerics
2019 - 2020 ガウス波形による2次元BPSK変調信号を用いた最尤推定レーダの研究開発

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Papers (17)：

Christian Bonatti, Katsutoshi Shinohara. Aperiodic chain recurrence classes of $C^{1}$-generic diffeomorphisms. Inventiones mathematicae. 2024. 238. 637-689
CHRISTIAN BONATTI, KATSUTOSHI SHINOHARA. A mechanism for ejecting a horseshoe from a partially hyperbolic chain recurrence class. Ergodic Theory and Dynamical Systems. 2024. 44. 8. 2080-2142
Xiaolong Li, Katsutoshi Shinohara. On super-exponential divergence of periodic points for partially hyperbolic systems. Discrete & Continuous Dynamical Systems. 2022. 42. 4. 1707-1729
Masayuki Asaoka, Katsutoshi Shinohara, Dmitry Turaev. Fast growth of the number of periodic points arising from heterodimensional connections. Compositio Mathematica. 2021. 157. 9. 1899-1963
Stefanie Hittmeyer, Bernd Krauskopf, Hinke M. Osinga, Katsutoshi Shinohara. HOW TO IDENTIFY A HYPERBOLIC SET AS A BLENDER. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. 2020. 40. 12. 6815-6836

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Lectures and oral presentations (28)：

Constructing wild diffeomorphisms
(Journée de l'équipe Géométrie, Algèbre, Dynamique et Topologie 2022)
Constructing new kinds of aperiodic classes for C1-generic diffeomorphisms
(Groupe de travail "théorie ergodique et systèmes dynamiques" 2022)
On A/D-converters and Fredholm determinants of piecewise linear maps
(Zoominar in Dynamical Systems @ Porto 2022)
What I (don't) know about aperiodic classes of C1-generic diffeomoprhisms
(Seminar of $C^1$ dynamical systems, day 2 2021)
What I (don't) know about aperiodic classes of C1-generic diffeomoprhisms, day 1
(Seminar of C1 dynamical systems 2021)

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Association Membership(s) (1)：

The Mathematical Society of Japan

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