Graduate School of Business Administration,Department of Business Administration

SHINOHARA Katsutoshi

Papers

1.	A mechanism for ejecting a horseshoe from a partially hyperbolic chain recurrence class (Peer-reviewed) Christian Bonatti, Katsutoshi Shinohara Ergodic Theory and Dynamical Systems 2023.11
2.	On super-exponential divergence of periodic points for partially hyperbolic systems (Peer-reviewed) Xiaolong Li, Katsutoshi Shinohara Discrete & Continuous Dynamical Systems Vol.42,No.4,pp.1707-1729 2022.4
3.	Fast growth of the number of periodic points arising from heterodimensional connections (Peer-reviewed) Masayuki Asaoka, Katsutoshi Shinohara, Dmitry Turaev Compositio Mathematica Vol.157,No.9,pp.1899-1963 2021.9
4.	HOW TO IDENTIFY A HYPERBOLIC SET AS A BLENDER (Peer-reviewed) Stefanie Hittmeyer, Bernd Krauskopf, Hinke M. Osinga, Katsutoshi Shinohara DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS Vol.40,No.12,pp.6815-6836 2020.12
5.	Existence of blenders in a Hénon-like family: Geometric insights from invariant manifold computations (Peer-reviewed) Hittmeyer, S., Krauskopf, B., Osinga, H.M., Shinohara, K. Nonlinearity Vol.31,No.10,pp.R239-R267 2018.8
6.	Volume hyperbolicity and wildness (Peer-reviewed) Christian Bonatti, Katsutoshi Shinohara Ergodic Theory and Dynamical Systems Vol.38,No.3,pp.886-920 2018.5
7.	Estimation of mean squared errors of non-binary A/D-encoders through Fredholm determinants of piecewise-linear transformations (jointly worked) (Peer-reviewed) 篠原 克寿, 小林 健太 Nonlinear Theory and Its Applications Vol.9,No.2,pp.243-258 2018.4
8.	Degenerate behavior in non-hyperbolic semigroup actions on the interval: fast growth of periodic points and universal dynamics (Peer-reviewed) Masayuki Asaoka, Katsutoshi Shinohara, Dmitry Turaev MATHEMATISCHE ANNALEN Vol.368,No.3-4,pp.1277-1309 2017.8
9.	Flexible periodic points (Peer-reviewed) Christian Bonatti, Katsutoshi Shinohara ERGODIC THEORY AND DYNAMICAL SYSTEMS Vol.35,No.5,pp.1394-1422 2015.8
10.	Rigorous estimates of quantization error for A/D converters based on beta-map (Peer-reviewed) Takaki Makino, Yukiko Iwata, Katsutoshi Shinohara, Yutaka Jitsumatsu, Masao Hotta, Hao San, Kazuyuki Aihara Nonlinear Theory and Its Applications, IEICE Vol.6,No.1,pp.99-111 2015
11.	On the minimality of semigroup actions on the interval which are C-1-close to the identity (Peer-reviewed) Katsutoshi Shinohara PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY Vol.109,No.5,pp.1175-1202 2014.11
12.	Some examples of minimal cantor sets for iterated function systems with overlap (Peer-reviewed) Katsutoshi Shinohara Tokyo Journal of Mathematics Vol.37,No.1,pp.225-236 2014.6
13.	Blenders in centre unstable Henon-like families: with an application to heterodimensional bifurcations (Peer-reviewed) Lorenzo J. Diaz, Shin Kiriki, Katsutoshi Shinohara NONLINEARITY Vol.27,No.3,pp.353-378 2014.3
14.	THE C1+alpha HYPOTHESIS IN PESIN THEORY REVISITED (Peer-reviewed) Christian Bonatti, Sylvain Crovisier, Katsutoshi Shinohara JOURNAL OF MODERN DYNAMICS Vol.7,No.4,pp.605-618 2013.12
15.	ON THE INDEX PROBLEM OF C-1-GENERIC WILD HOMOCLINIC CLASSES IN DIMENSION THREE (Peer-reviewed) Katsutoshi Shinohara DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS Vol.31,No.3,pp.913-940 2011.11
16.	An example of C-1-generically wild homoclinic classes with index deficiency Katsutoshi Shinohara NONLINEARITY Vol.24,No.7,pp.1961-1974 2011.7

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Presentations

No.	Name of subject/Conference Name	Year	Site
1.	Constructing wild diffeomorphisms(Journée de l'équipe Géométrie, Algèbre, Dynamique et Topologie)	Holding date : Presentation date : 2022.4.5
2.	Constructing new kinds of aperiodic classes for C1-generic diffeomorphisms(Groupe de travail "théorie ergodique et systèmes dynamiques")	Holding date : Presentation date : 2022.3.28
3.	On A/D-converters and Fredholm determinants of piecewise linear maps(Zoominar in Dynamical Systems @ Porto)	Holding date : Presentation date : 2022.2.18
4.	What I (don't) know about aperiodic classes of C1-generic diffeomoprhisms(Seminar of $C^1$ dynamical systems, day 2)	Holding date : Presentation date : 2021.2.3
5.	What I (don't) know about aperiodic classes of C1-generic diffeomoprhisms, day 1(Seminar of C1 dynamical systems)	Holding date : Presentation date : 2021.2.1
6.	Super exponential divergence of the number of periodic points near heterodimensional cycles(Resistencia Dinamica)	Holding date : Presentation date : 2020.9.18
7.	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基本復調特性 ,(電子情報通信学会 総合大会)	Holding date : Presentation date : 2020.3.18
8.	ガボールレーダの特性評価 と数理	Holding date : Presentation date : 2019.12.12
9.	２次元位相変調ガウス波に よるレーダ信号のツイン マルチキャリアフィルタバンク(信号処理シンポジウム（鳥取）（令)	Holding date : Presentation date : 2019.11.15
10.	Super exponential growth of number of periodic points for smooth generic partially hyperbolic diffeomorphisms(Dynamical Systems and Related Topics)	Holding date : Presentation date : 2018.8.13	Universidade Federal da Bahia
11.	Super exponential growth of number of periodic points for smooth generic partially hyperbolic diffeomorphisms(INTERNATIONAL CONFERENCE ON DYNAMICAL SYSTEMS)	Holding date : Presentation date : 2018.6.18
12.	Super exponential growth of number of periodic points for skew product maps(The Workshop on Dynamical Systems 2017)	Holding date : Presentation date : 2017.11.3
13.	Fredholm Determinants of Generalized β-Transformations and MSE Estimates of Corresponding AD-Converters(2016 International Symposium on Nonlinear Theory and Its Applications)	Holding date : Presentation date : 2016.11.28
14.	区分線形写像のフレドホルム行列式とアナログ・デジタル変換器の精度保証(京都力学系セミナー)	Holding date : Presentation date : 2016.11.11	京都大学 理学部数学教室
15.	Estimation of mean squared error of beta-encoders through their dynamical zeta functions(日本応用数理学会 2016年度 年会)	Holding date : Presentation date : 2016.9.12	北九州国際会議場（福岡県北九州市小倉）
16.	Volume hyperbolicity and wildness(Dynamics, Bifurcations, and Strange Attractors)	Holding date : Presentation date : 2016.7.18
17.	Volume Hyperbolicity and Wildness(4th Bremen Winter School and Symposium Dynamics, Chaos and Applications)	Holding date : Presentation date : 2016.3.14	UIniversitat Bremen
18.	beta-encoders and Fredholm determinant of generalized beta-maps(DynamIC Seminar)	Holding date : Presentation date : 2016.3.11
19.	区分線形写像のゼータ関数とアナログ・デジタル変換器の精度保証(関東力学系セミナー)	Holding date : Presentation date : 2016.1.22	東京大学大学院 数理科学研究科
20.	On the minimality of semigroup actions on the interval which are C<SUP>1</SUP>-close to the identity(School and Conference on Dynamical Systems)	Holding date : Presentation date : 2015.7.20	The Abdus Salam International Centre for Theoretical Physics
21.	Estimation of beta-values for beta-encoders and Fredholm determinants of generalized beta-maps(力学系とその諸分野への応用)	Holding date : Presentation date : 2015.6.29	数理解析研究所
22.	Robust Heterodimensional Cycles, Blenders and Iterated Function(Department of Mathematics Seminar)	Holding date : Presentation date : 2015.6.18
23.	Volume Hyperbolicity and Wildness(Kyoto Dynamical Systems seminar)	Holding date : Presentation date : 2015.5.29	Kyoto University
24.	Abundance of flexible periodic points in partially hyperbolic systems(京都力学系セミナー)	Holding date : Presentation date : 2015.4.24	京都大学
25.	Blenders in centre unstable Henon-like families: with an application to heterodimensional bifurcations(Dynamics Days South America 2014)	Holding date : Presentation date : 2014.11.3
26.	An example of the failure of C<SUP>1</SUP> Pesin theory(Topological and geometric methods in low-dimensional dynamical systems)	Holding date : Presentation date : 2014.5.11
27.	β変換器の性能に関する考察：β推定誤差の影響(電気学会 電子回路研究会)	Holding date : Presentation date : 2014.1.23	しいのき迎賓館
28.	Non-uniformly hyperbolic systems: looking through examples(Summer School on Dynamical Systems)	Holding date : Presentation date : 2013.7.8

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Research Projects

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