This book offers a self-contained introduction to the theory of Lyapunov
exponents and its applications, mainly in connection with hyperbolicity,
ergodic theory and multifractal analysis. It discusses the foundations
and some of the main results and main techniques in the area, while also
highlighting selected topics of current research interest. With the
exception of a few basic results from ergodic theory and the
thermodynamic formalism, all the results presented include detailed
proofs. The book is intended for all researchers and graduate students
specializing in dynamical systems who are looking for a comprehensive
overview of the foundations of the theory and a sample of its
applications.