Modern Theory of Dynamical Systems: A Tribute to Dmitry Victorovich Anosov

ISBN-13: 9781470425609 / Angielski

Anatole Katok;Yakov Pesin;Federico Rodriguez Hertz

Opis

This volume is a tribute to one of the founders of modern theory of dynamical systems, the late Dmitry Victorovich Anosov. It contains both original papers and surveys, written by some distinguished experts in dynamics, which are related to important themes of Anosov's work, as well as broadly interpreted further crucial developments in the theory of dynamical systems that followed Anosov's original work. Also included is an article by A. Katok that presents Anosov's scientific biography and a picture of the early development of hyperbolicity theory in its various incarnations, complete and partial, uniform and nonuniform.

Spis treści

• A. Katok, Dmitry Viktorovich Anosov: His life and mathematics
• M. Brin and Y. Pesin, D. V. Anosov and our road to partial hyperbolicity
• V. Afraimovich and L. Bunimovich, Escape from large holes in Anosov systems
• F. Beguin, S. Crovisier, and T. Jager, A dynamical decomposition of the torus into pseudo-circles
• A. Dudko and R. Grigorchuk, On irreducibility and disjointness of Koopman and quasi-regular representations of weakly branch groups
• B. Fayad and M. Saprykina, Isolated elliptic fixed points for smooth Hamiltonians
• T. Fisher, T. Petty, and S. Tikhomirov, Nonlocally maximal and premaximal hyperbolic sets
• J. Franks, Rotation numbers for $S^2$ diffeomorphisms
• A. Gorodetski and Y. Pesin, Path connectedness and entropy density of the space of hyperbolic ergodic measures
• V. Grines and E. Zhuzhoma, Around Anosov-Weil theory
• Y. Ilyashenko and I. Shilin, Attractors and skew products
• M. Jakobson, Thermodynamic formalism for some systems with countable Markov structures
• A. Katok and F. Rodriguez Hertz, Non-uniform measure rigidity for $\mathbb^k$ actions of symplectic type
• S. E. Newhouse, On a differentiable linearization theorem of Philip Hartman
• M. Ratner, Time change invariants for measure preserving flows
• A. M. Stepin and I. V. Tsylin, Spectral boundary value problems for Laplace-Beltrami operator: Moduli for continuity of eigenvalues under domain deformation
• M. Viana and J. Yang, Measure-theoretical properties of center foliations.