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

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

The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It cover

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

A self-contained, comprehensive account of modern smooth ergodic theory, the mathematical foundation of deterministic chaos.