Displaying similar documents to “Large deviations and strong mixing”

Bounds on regeneration times and limit theorems for subgeometric Markov chains

Randal Douc, Arnaud Guillin, Eric Moulines (2008)

Annales de l'I.H.P. Probabilités et statistiques

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This paper studies limit theorems for Markov chains with general state space under conditions which imply subgeometric ergodicity. We obtain a central limit theorem and moderate deviation principles for additive not necessarily bounded functional of the Markov chains under drift and minorization conditions which are weaker than the Foster–Lyapunov conditions. The regeneration-split chain method and a precise control of the modulated moment of the hitting time to small sets are employed...

Process-level quenched large deviations for random walk in random environment

Firas Rassoul-Agha, Timo Seppäläinen (2011)

Annales de l'I.H.P. Probabilités et statistiques

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We consider a bounded step size random walk in an ergodic random environment with some ellipticity, on an integer lattice of arbitrary dimension. We prove a level 3 large deviation principle, under almost every environment, with rate function related to a relative entropy.