A vision for dynamics in the 21st century: the legacy of Anatole Katok

A large international conference celebrated the 50-year career of Anatole Katok and the body of research across smooth dynamics and ergodic theory that he touched. In this book many leading experts provide an account of the latest developments at the research frontier and together set an agenda for...

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Weitere Verfasser: Damjanovic, Danijela (HerausgeberIn), Gogolev, Andrey (HerausgeberIn), Hasselblatt, Boris 1961- (HerausgeberIn), Pesin, Yakov B. 1946- (HerausgeberIn)
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: Cambridge ; New York, NY Cambridge University Press 2024
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Online-Zugang:DE-12
DE-634
DE-92
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Zusammenfassung:A large international conference celebrated the 50-year career of Anatole Katok and the body of research across smooth dynamics and ergodic theory that he touched. In this book many leading experts provide an account of the latest developments at the research frontier and together set an agenda for future work, including an explicit problem list. This includes elliptic, parabolic, and hyperbolic smooth dynamics, ergodic theory, smooth ergodic theory, and actions of higher-rank groups. The chapters are written in a readable style and give a broad view of each topic; they blend the most current results with the developments leading up to them, and give a perspective on future work. This book is ideal for graduate students, instructors and researchers across all research areas in dynamical systems and related subjects
Beschreibung:Title from publisher's bibliographic system (viewed on 02 Feb 2024)
Rigidity of topological entropy of boundary maps associated to Fuchsian groups / Adam Abrams, Svetlana Katok, and Ilie Ugarcovici -- Open problems from 2020 Vision for Dynamics Conference in Bȩdlewo / Adam Abrams, Jairo Bochi, and Danijela Damjanović -- Flexibility of entropies for piecewise expanding unimodal Maps / Lluís Alseda, Michal Misiurewicz, and Rodrigo A. Pérez -- Recent results and open questions on pseudo-rotations / Barney Bramham and Zhiyuan Zhang -- SRB and equilibrium measures via dimension theory / Vaughn Climenhaga -- Abelian Livshits theorems and geometric applications / Andrey Gogolev and Federico Rodriguez Hertz -- A dynamical approach to validated numerics / O. Jenkinson and M. Pollicott -- Non-stationary normal forms for contracting extensions / Boris Kalinin -- Survey on entropy-type invariants of subexponential growth in dynamical Systems / Adam Kanigowski, Anatole Katok, Daren Wei -- On the smooth realization problem and the AbC method / Philipp Kunde -- On some spectral problems in ergodic theory / Mariusz Lemańczyk -- Area-preserving surface diffeomorphisms with polynomial decay of correlations are ubiquitous / Yakov Pesin, Samuel Senti, and Farruh Shahidi* -- Linear cocycles over hyperbolic systems / Philipp Kunde
Beschreibung:1 Online-Ressource (x, 434 Seiten)
ISBN:9781009278898
DOI:10.1017/9781009278898

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