This is an introductory course on the methods of computing asymptotics of probabilities of rare events: the theory of large deviations. The book combines large

This book studies the large deviations for empirical measures and vector-valued additive functionals of Markov chains with general state space. Under suitable r

The aim of this monograph is to present a general method of proving continuity of Lyapunov exponents of linear cocycles. The method uses an inductive procedure

This book provides a self contained, thorough introduction to the analytic and probabilistic methods of number theory. The prerequisites being reduced to classi