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