Cover; Title page; Contents; Preface; Dmitry Viktorovich Anosov: His life and mathematics; 1. Personal recollections; 2. Mathematical legacy; References; D.V. Anosov and our road to partial hyperbolicity; References; Escape from large holes in Anosov systems; 1. Introduction; 2. Set up; 3. Induced open dynamical system; 4. Algebraic automorphism of the torus; 5. The survival probabilities and escape rates; 6. Multidimensional automorphisms; 7. Nonlinear systems; Acknowledgement; References; A dynamical decomposition of the torus into pseudo-circles; 1. Introduction
Summary
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
