Lyapunov Spectrum of volume preserving partially hyperbolic maps
Mauricio Poletti (UFC, Brasil)

Given an invariant measure and a dieomorphism, the Lyapunov spectrum is said to be simple if for almost every point there is the maximal quantity of dierent exponents possible, (or equivalently the Oseledets decomposition is given by one dimensional spaces). K. Marin proved that conservative partially hyperbolic dieomorphisms with two dimensional center (with some technical conditions) generically have two dierent center exponents. In this work we study the simplicity of the full Lyapunov spectrum of these maps. This is a joint work with K. Marin and D. Obata.