O. V. Gulinsky & A. Yu. Veretennikov 
Large Deviations for Discrete-Time Processes with Averaging [PDF ebook] 

Frontmatter — Contents — Preface — Chapter 1. Introduction to large deviations — Chapter 2. Large deviations for the non-markovian recursive scheme with additive svhite noise‘ — Chapter 3. Large deviations for the recursive scheme with stationary disturbances — Chapter 4. Generalization of cramer’s theorem — Chapter 5. Mixing for markov processes — Chapter 6. The averaging principle for some recursive stochastic schemes with state dependent noise — Chapter 7. Normal deviations — Chapter 8. Large deviations for markov processes — Chapter 9. Large deviations for stationary processes — Chapter 10. Large deviations for empirical measures — Chapter 11. Large deviations in averaging principle — Bibliography