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Modern Theory of Dynamical Systems: A Tribute to Dmitry Victorovich Anosov
About this Title
Anatole Katok, Pennsylvania State University, University Park, PA, Yakov Pesin, Pennsylvania State University, University Park, PA and Federico Rodriguez Hertz, Pennsylvania State University, University Park, PA, Editors
Publication: Contemporary Mathematics
Publication Year:
2017; Volume 692
ISBNs: 978-1-4704-2560-9 (print); 978-1-4704-4119-7 (online)
DOI: https://doi.org/10.1090/conm/692
Table of Contents
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Front/Back Matter
Articles
- Anatole Katok – Dmitry Viktorovich Anosov: His life and mathematics
- Michael Brin and Yakov Pesin – D. V. Anosov and our road to partial hyperbolicity
- Valentin Afraimovich and Leonid Bunimovich – Escape from large holes in Anosov systems
- François Béguin, Sylvain Crovisier and Tobias Jäger – A dynamical decomposition of the torus into pseudo-circles
- Artem Dudko and Rostislav Grigorchuk – On irreducibility and disjointness of Koopman and quasi-regular representations of weakly branch groups
- Bassam Fayad and Maria Saprykina – Isolated elliptic fixed points for smooth Hamiltonians
- T. Fisher, T. Petty and S. Tikhomirov – Nonlocally maximal and premaximal hyperbolic sets
- John Franks – Rotation numbers for $S^2$ diffeomorphisms
- Anton Gorodetski and Yakov Pesin – Path connectedness and entropy density of the space of hyperbolic ergodic measures
- V. Grines and E. Zhuzhoma – Around Anosov-Weil Theory
- Yu. Ilyashenko and I. Shilin – Attractors and skew products
- Michael Jakobson – Thermodynamic formalism for some systems with countable Markov structures
- Anatole Katok and Federico Rodriguez Hertz – Non-uniform measure rigidity for $\mathbb {Z}^k$ actions of symplectic type
- Sheldon E. Newhouse – On a differentiable linearization theorem of Philip Hartman
- Marina Ratner – Time change invariants for measure preserving flows
- A. M. Stepin and I. V. Tsylin – Spectral boundary value problems for Laplace–Beltrami operator: Moduli of continuity of eigenvalues under domain deformation
- Marcelo Viana and Jiagang Yang – Measure-theoretical properties of center foliations