Stochastic Dynamics and Boltzmann Hierarchy

Explores stochastic Boltzmann hierarchy, a special type of initial-boundary value problems for first order systems of partial differential systems. This book describes the derivation of the classical Boltzmann equation, one of the important partial differential equations. The monograph is devoted to one of the most important trends in contemporary mathematical physics, the investigation of evolution equations of many-particle systems of statistical mechanics. The book systematizes rigorous results obtained in this field in recent years, and it presents contemporary methods for the investigation of evolution equations of infinite-particle systems. The book is intended for experts in statistical physics, mathematical physics, and probability theory and for students of universities specialized in mathematics and physics.