The theory of Lyapunov exponents originated over a century ago in the study of the stability of solutions of differential equations. Written by one of the subje

Covers the fundamental aspects of the classical theory and introduces significant recent developments. Based on the author's graduate course.

A systematic introduction to the core of smooth ergodic theory. An expanded version of an earlier work by the same authors, it describes the general (abstract)

This volume consists of six articles covering different facets of the mathematical theory of dynamical systems. The topics range from topological foundations th

These lecture notes provide a unique introduction to Pesin theory and its applications.