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- SHINOHARA Katsutoshi
- Graduate School of Business Administration,Department of Business Administration
- SHINOHARA Katsutoshi
- Curriculum Vitae
- Research Work
Papers
| 1. | ESTIMATION OF MEAN SQUARED ERRORS OF NON-BINARY A/D ENCODERS THROUGH FREDHOLM DETERMINANTS OF PIECEWISE-LINEAR TRANSFORMATIONS II: GENERAL CASE
KATSUTOSHI SHINOHARA The ANZIAM Journal Vol.67 2025.3 
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| 2. | Aperiodic chain recurrence classes of $C^{1}$-generic diffeomorphisms (Peer-reviewed) Christian Bonatti, Katsutoshi Shinohara Inventiones mathematicae Vol.238,pp.637-689 2024.10
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| 3. | A mechanism for ejecting a horseshoe from a partially hyperbolic chain recurrence class (Peer-reviewed) CHRISTIAN BONATTI, KATSUTOSHI SHINOHARA Ergodic Theory and Dynamical Systems Vol.44,No.8,pp.2080-2142 2024
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| 4. | 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
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| 5. | 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
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| 6. | 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
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| 7. | 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
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| 8. | Volume hyperbolicity and wildness (Peer-reviewed) Christian Bonatti, Katsutoshi Shinohara Ergodic Theory and Dynamical Systems Vol.38,No.3,pp.886-920 2018.5
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| 9. | 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
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| 10. | 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
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| 11. | Flexible periodic points (Peer-reviewed) Christian Bonatti, Katsutoshi Shinohara ERGODIC THEORY AND DYNAMICAL SYSTEMS Vol.35,No.5,pp.1394-1422 2015.8
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| 12. | 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
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| 13. | 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
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| 14. | 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
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| 15. | 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
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| 16. | THE $C^{1+\alpha}$ 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
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| 17. | 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
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| 18. | 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 |
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| 1. | Constructing wild diffeomorphisms(Journée de l'équipe Géométrie, Algèbre, Dynamique et Topologie) |
Holding date :
Presentation date : 2022.4.5 |
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| 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 |
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| 3. | On A/D-converters and Fredholm determinants of piecewise linear maps(Zoominar in Dynamical Systems @ Porto) |
Holding date :
Presentation date : 2022.2.18 |
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| 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 |
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| 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 |
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| 6. | Super exponential divergence of the number of periodic points near heterodimensional cycles(Resistencia Dinamica) |
Holding date :
Presentation date : 2020.9.18 |
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| 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 |
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| 8. | ガボールレーダの特性評価 と数理
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Holding date :
Presentation date : 2019.12.12 |
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| 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 |
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| 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 |
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| 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 |
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| 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 |
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| 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)
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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)
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Holding date :
Presentation date : 2016.7.18 |
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| 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 |
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| 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 |
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| 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)
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Holding date :
Presentation date : 2014.11.3 |
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| 26. | An example of the failure of C<SUP>1</SUP> Pesin theory(Topological and geometric methods in low-dimensional dynamical systems)
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Holding date :
Presentation date : 2014.5.11 |
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| 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)
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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)
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Holding date :
Presentation date : 2013.7.8 |
Research Projects
| No. | Research subject | Research item(Awarding organization, System name) | Year |
|---|---|---|---|
| 1. | Development of Fundamental Theory for Communication and Sensing over a doubly selective channel in highly mobile environment
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Grant-in-Aid for Scientific Research (B)
( Awarding organization: Japan Society for the Promotion of Science System name: Grants-in-Aid for Scientific Research ) |
2023.4 - 2027.3 |
| 2. | Investigation of non-uniformly hyperbolic dynamical systems: collaoborative research between numerics and theories
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Grant-in-Aid for Scientific Research (C)
( Awarding organization: Japan Society for the Promotion of Science System name: Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C) ) |
2021.4 - 2024.3 |
| 3. | 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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戦略的情報通信研究開発推進事業
( Awarding organization: 総務省 ) |
2019.6 - 2020.3 |
| 4. | Eavesdropping-Resistant Sparse Code Division Multiple Access System using a random number sequence based on dynamical systems
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Grant-in-Aid for Scientific Research (C)
( Awarding organization: Japan Society for the Promotion of Science System name: Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C) ) |
2019.4 - 2022.3 |
| 5. | On the structure and the bifurcation of non-hyperbolic attracting regions: theory and numerics
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Grant-in-Aid for Scientific Research (C)
( Awarding organization: Japan Society for the Promotion of Science System name: Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C) ) |
2018.4 - 2022.3 |
| 6. | Universal random number generation robust to manufacturing error using AD converters based on beta map
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Grant-in-Aid for Scientific Research (C)
( Awarding organization: Japan Society for the Promotion of Science System name: Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C) ) |
2016.4 - 2019.3 |
| 7. | Analysis of non-hyperbolic systems through theories and numerical analysis
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Grant-in-Aid for Young Scientists (B)
( Awarding organization: Japan Society for the Promotion of Science System name: Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (B) ) |
2016.4 - 2018.3 |
| 8. | 野生的な力学系の研究
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特別研究員奨励費
( Awarding organization: 日本学術振興会 System name: 科学研究費助成事業 特別研究員奨励費 ) |
2014.4 - 2016.3 |
| 9. | 非双曲型力学系の通有的な性質について
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特別研究員奨励費
( Awarding organization: 日本学術振興会 System name: 科学研究費助成事業 ) |
2007.4 - 2010.3 |
