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“The celebrated work of Ventsel and Freidlin has proved to be a major contribution in this development, with their phenomenal text Random Perturbations of Dynamical Systems, now in its third edition, playing a unique role. … The book under review has evolved since its first English edition was published in 1984, a translation from the Russian original of 1979. … it will attract an ever growing population of applied mathematicians to the fascinating new frontier of stochastic dynamics.” (Hong Qian and Hao Ge, SIAM Review, Vol. 55 (3), 2013)