A formula with some aplications to the theory of Lyapunov exponents

Jairo Bochi | Avila, Artur

Keywords: Lyapunov Exponents

We prove an elementary formula about the average expansion of certain products of matrices. This permits us to quickly reobtain an inequality by M. Herman and a theorem by Dedieu and Shub, both concerning Lyapunov exponents. Indeed, we show that equality holds in Herman's result.

Anexos:

• abu.ps