Large deviations and stochastic homogenization

Abstract

A general theorem is stated providing large deviations estimates for a family of measures on a topological vector space. Applications are given in the second part, where large deviations problems arising in stochastic homogenization are discussed. Another application is given in similar problems connected with Donsker's invariance principle. © 1988 Fondazione Annali di Matematica Pura ed Applicata.