The provided text is the preface and table of contents for the second edition of the book "Random Perturbations of Dynamical Systems" by M.I. Freidlin and A.D. Wentzell, translated by Joseph Szücs. The book is part of the "Grundlehren der mathematischen Wissenschaften" series, published by Springer Science+Business Media, LLC. It covers various asymptotic problems arising from small random perturbations of dynamical systems, focusing on large-deviation theory and its applications. The preface highlights the importance of asymptotic investigations in probability theory, particularly in the context of random processes, and discusses the book's structure and content. The table of contents outlines the chapters, which cover topics such as random perturbations, small perturbations on finite time intervals, action functionals, Gaussian perturbations, Markov perturbations, the averaging principle, stability under random perturbations, and sharpenings and generalizations of the main results.The provided text is the preface and table of contents for the second edition of the book "Random Perturbations of Dynamical Systems" by M.I. Freidlin and A.D. Wentzell, translated by Joseph Szücs. The book is part of the "Grundlehren der mathematischen Wissenschaften" series, published by Springer Science+Business Media, LLC. It covers various asymptotic problems arising from small random perturbations of dynamical systems, focusing on large-deviation theory and its applications. The preface highlights the importance of asymptotic investigations in probability theory, particularly in the context of random processes, and discusses the book's structure and content. The table of contents outlines the chapters, which cover topics such as random perturbations, small perturbations on finite time intervals, action functionals, Gaussian perturbations, Markov perturbations, the averaging principle, stability under random perturbations, and sharpenings and generalizations of the main results.