Proceedings of the Steklov Institute of Mathematics 1992; 243 pp; softcover Volume: 191 ISBN10: 0821831445 ISBN13: 9780821831441 List Price: US$194 Member Price: US$155.20 Order Code: STEKLO/191
 This volume contains articles covering a wide range of current directions in modern statistical mechanics and dynamical systems theory. Scientists, researchers, and students working in mathematical physics and statistical mechanics will find this book of great interest. Among the topics covered are: 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 equations and kinetic equations; algebraic aspects of quantumdynamical semigroups; the collective variables method; and qualitative properties of classical dynamical systems. Readership Scientists, researchers, and students working in mathematical physics and statistical mechanics. Table of Contents  N. N. Bogolyubov  On a new method in the theory of superconductivity
 N. N. Bogolyubov, Jr., A. N. Kireev, A. M. Kurbatov, and D. P. Sankovich  Some problems in polaron theory
 D. V. Anosov  How curves on the universal covering plane that cover nonselfintersecting curves on a closed surface can go to infinity
 N. M. Bogolyubov and V. E. Korepin  The mechanism of Cooper pairing in the onedimensional Hubbard model
 V. N. Popov  Quantum crystallization of a nonideal Bose gas
 Yu. A. Tserkovnikov  On the theory of a nonideal Bose gas
 N. N. Bogolyubov, Jr. and A. S. Shumovskiĭ  Collective quantum effects in the problem of interaction of electromagnetic radiation with a medium
 V. P. Kovrov and A. M. Kurbatov  The concept of Bogolyubov quasimeans in the theory of disordered systems
 V. A. Moskalenko and S. P. Kozhukar'  An axial model for quadrupolar glasses
 D. P. Sankovich  Infrared bounds in the theory of phase transitions
 Ya. G. Sinaĭ  On limit theorems for Weyl multiple trigonometric sums
 A. S. Kholevo  Stochastic representations of quantum dynamical semigroups
 D. N. Zubarev and V. G. Morozov  Nonequilibrium statistical ensembles in kinetic theory and hydrodynamics
 Yu. L. Klimontovich  Dynamical and statistical methods in the theory of nonequilibrium processes
 I. P. Pavlotskiĭ  Bogolyubov chains and the Vlasov and Wigner kinetic equations in postGalilean approximation
 S. V. Peletminskiĭ  Superfluidity in a model for a Fermi liquid
 D. Ya. Petrina  The thermodynamic limit of solutions of the Bogolyubov equations
 I. R. Yukhnovskiĭ  The grand partition function in the method of collective variables and its application to the investigation of the liquidgas phase transition
