## Header # Laplace approximations for large deviations of nonreversible Markov processes. The nondegenerate case

Bolthausen, E; Deuschel, J-D; Tamura, Y (1995). Laplace approximations for large deviations of nonreversible Markov processes. The nondegenerate case. The Annals of Probability, 23(1):236-267.

## Abstract

We are investigating Markov process expectations for large time of the form $\exp(TF(L_T))$, where $L_T$ is the empirical measure of a uniformly ergodic Markov process and $F$ is a smooth functional. Such expressions are evaluated to a factor which converges to 1. In contrast to earlier work on the subject, it is not assumed that the process is reversible.

## Abstract

We are investigating Markov process expectations for large time of the form $\exp(TF(L_T))$, where $L_T$ is the empirical measure of a uniformly ergodic Markov process and $F$ is a smooth functional. Such expressions are evaluated to a factor which converges to 1. In contrast to earlier work on the subject, it is not assumed that the process is reversible.

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## Additional indexing

Item Type: Journal Article, refereed, original work 07 Faculty of Science > Institute of Mathematics 510 Mathematics Large deviations, Markov processes, Laplace approximations English 1995 25 May 2010 13:54 29 Jul 2020 19:48 Institute of Mathematical Statistics 0091-1798 Hybrid https://doi.org/10.1214/aop/1176988385 http://www.zentralblatt-math.org/zmath/en/search/?q=an:0838.60023http://www.ams.org/mathscinet-getitem?mr=1330769

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