Large Deviations and Applications - Brossura

Varadhan, S. R. S.

 
9780898711899: Large Deviations and Applications

Sinossi

This book's emphasis is on the behavior of solutions in special situations when certain parameters get large or small.

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Contenuti

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.

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