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