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)

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

Since the predecessor to this volume (LNM 1186, Eds. L. Arnold, V. Wihstutz)appeared in 1986, significant progress has been made in the theory and applications