physics. The chief purposes of that study were to demonstrate the connection and interrelation of these conceptual advances of the many-body physics and to try to show explicitly that those concepts, though different in details, have a certain common features. Several problems in the field of statistical physics of complex materials and systems (e.g. the chirality of molecules) and the foundations of the microscopic theory of magnetism and superconductivity were discussed in relation to these ideas. The notion of broken symmetry was presented also within the nonequilibrium statistical operator approach developed by D. N. Zubarev. The ensemble method, as it was formulated by J. W. Gibbs, have the great generality and the broad applicability to equilibrium statistical mechanics. Different macroscopic environmental constraints lead to different types of ensembles, with particular statistical characteristics. The nonequilibrium statistical operator method permits one to generalize the Gibbs ensemble method to the nonequilibrium case and to construct a nonequilibrium statistical operator which enables one to obtain the transport equations and calculate the transport coefficients in terms of correlation functions, and which, in the case of equilibrium, goes over to the Gibbs distribution. In the framework of the latter approach the derivation of kinetic equations for a system in a thermal bath was carried out. The problem about the appearance of a stochastic process in a dynamical system which is submitted to the influence of a "large" system was considered in notable paper, in the approach of the nonequilibrium statistical operator. The derivation of the equation which describes approximately the evolution of the state of the dynamic system interacting with the thermal bath was given. The Equation derived can be called a Schroedinger-type equation with damping for a dynamical system in a thermal bath. The results of investigation of the dynamic behavior of a particle in an environment, taking into account dissipative effects, were considered and applied to a variety of concrete problems. He formulated also a successive and notable statistical theory of spin relaxation and diffusion in solids based on the approach of the non-equilibrium statistical operator of Dmitry Zubarev. A. L. Kuzemsky is author of more than 210 scientific publications, including 20 review articles and 2 monographs. Among them there are the extensive review devoted to the works of D. I. Blokhintsev on quantum mechanics and solid state physics and review devoted to the methods of statistical mechanics developed by N. N. Bogoliubov His