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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.

Transport theory. --- Stochastic processes. --- Random processes --- Probabilities --- Boltzmann transport equation --- Transport phenomena --- Mathematical physics --- Particles (Nuclear physics) --- Radiation --- Statistical mechanics --- Boltzmann Equation. --- Hamilton Dynamics. --- Ito-Louiville Equation Boundary Conditions. --- Stochastic Boltzmann Hierarchy. --- System of Hard Spheres.