On Large Deviation Convergence of Invariant Measures
Authors:
Anatolii A. Puhalskii
Affiliation:
(1) Mathematics Department, University of Colorado at Denver, Campus Box 170, P.O. Box 173364, Denver, Colorado, 80217-3364;(2) Institute for Problems in Information Transmission, Moscow, Russia
Abstract:
We present new results on the connection between large deviation principles for trajectories of stochastic processes and the associated invariant measures. Applications to diffusion and queuing processes are provided.