Fellow mathematicians honor the work of Anosov (1936-2014), one of the founders of the modern dynamical systems theory and associated most often with hyperbolic dynamics. Some of the contributors worked with him in Russia, others are Western mathematicians influenced by him, and still others are mathematicians too young to have known him personally but whose work extends his. Among the topics are escape from large holes in Anosov systems, isolated elliptic fixed points for smooth Hamiltonians, thermodynamic formalism for some systems with countable Markov structures, spectral boundary value problems for the Laplace-Beltrami operator: moduli of continuity in eigenvalues under domain deformation, and measure-theory properties of center foliations. Annotation ©2017 Ringgold, Inc., Portland, OR (protoview.com)
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
$\mathbb{Z}^k$ 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.
Anatole Katok, Pennsylvania State University, University Park, PA.
Yakov Pesin, Pennsylvania State University, University Park, PA.
Federico Rodriguez Hertz, Pennsylvania State University, University Park, PA.
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