Large Deviations and Applications

Large Deviations Cramer's Theorem Multidimensional Version of Cramer's Theorem An Infinite Dimensional Example: Brownian Motion The Ventcel-Freidlin Theory The Exit Problem Empirical Distributions The Large Deviation Problem for Empirical Distributions of Markov Processes Some Properties of Entropy Upper Bounds Lower Bounds Contraction Principle Application to the Problem of the Wiener Sausage The Polaron Problem.