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.

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