LAPLACE APPROXIMATIONS FOR LARGE DEVIATIONS OF NONREVERSIBLE MARKOV-PROCESSES - THE NONDEGENERATE CASE

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 uniforml y ergodic Markov process and F is a smooth functional. Such expression s are evaluated up to a factor which converges to 1. In contrast to ea rlier work on the subject, it is not assumed that the process is rever sible.