This is the second of two volumes dedicated to the scientific heritage of F. A. Berezin (1931-1980). Before his untimely death, Berezin had an important influence on physics and mathematics, discovering new ideas in mathematical physics, representation theory, analysis, geometry, and other areas of mathematics. His crowning achievements were the introduction of a new notion of deformation quantization and Grassmannian analysis ('supermathematics'). Collected here are papers by many of his colleagues and others who worked in related areas, representing a wide spectrum of topics in statistical and theoretical physics and allied areas of mathematics. In particular, several papers discuss various aspects of quantum field theory and related questions of supersymmetry, geometry, and representation theory. Other papers are devoted to problems of quasi-classical approximation and mathematical models of statistical physics.
Berezin quantization and unitary representations of Lie groups by D. Bar-Moshe and M. S. Marinov Generalized field-antifield formalism by I. A. Batalin and I. V. Tyutin Semiclassical integral equations on the semiaxis by A. M. Budylin and V. S. Buslaev Integrability of $N=3$ super Yang-Mills equations by Ch. Devchand and V. Ogievetsky Estimates of semi-invariants for the Ising model at low temperatures by R. L. Dobrushin Pseudoclassical theory of a relativistic spinning particle by D. M. Gitman Dual waves by R. Kallosh Geometric quantization in the Fock space by V. P. Maslov and O. Yu. Shvedov The three-body problem in radioactive decay: The case of one atom and at most two photons by R. Minlos and H. Spohn The moduli space of instantons in $N=2$ supersymmetrical $\sigma$-models by M. I. Monastyrsky and S. M. Natanzon Superanalogs of symplectic and contact geometry and their applications to quantum field theory by A. Schwarz Remarks on the delocalization transition for heteropolymers by Ya. G. Sinai and H. Spohn.