paper

Perturbation theory for Lyapunov exponents of a toral map: extension of a result of Shub and Wilkinson

arXiv:nlin/0107022

Abstract

Starting from a hyperbolic toral automorphism, we obtain, for a small volume preserving perturbation, an exact and rigorous second order perturbation expansion of the Lyapunov exponents.

15 pages, this new version has a few confusing misprints corrected