Large Deviations for Stochastic Processes - Mathematical Surveys and Monographs

Examines the results on large deviations for a class of stochastic processes. Part 1 gives necessary and sufficient conditions for exponential tightness that are analogous to conditions for tightness in the theory of weak convergence. Part 2 focuses on Markov processes in metric spaces. Part 3 discusses methods for verifying the comparison principle for viscosity solutions.