Abstract: This volume contains articles on the wide range of actual directions in modern statistical mechanics and dynamical systems theory. These articles are devoted to the following items: phase transition problems, including superconductivity and superfluidity; methods of nonequilibrium statistical mechanics and fluctuation theory; quantum collective phenomena, superradiance; spin glasses; polaron problems; chains of Bogolyubov's equations and kinetic equations; algebraic aspects of quantum-dynamical semigroups, collective variables
method, qualitative properties of classical dynamical systems.
The volume takes great interest for scientists, postgraduates and students, working in the field of mathematical physics and statistical mechanics.