Simplicity of Lyapunov Spectra for Cocycle over Hyperbolic Flows

Orador: Marcus Morro (Universidade do Porto). Data, hora e local: 23 de Outubro de 2015, às 15h na sala de reuniões do Departamento de Matemática.

Resumo: Avila and Viana exhibit an explicit sufficient condition for the Lyapunov exponents of a linear cocycle over a Markov map to have multiplicity 1. We use this result to show the simplicity of Lyapunov spectra for cocycles over hyperbolic ows preserving an ergodic, hyperbolic measure with local product structure. We also show that there is a open and dense set of infinitesimal generator that satisfy this property, and the complementary set has infinite codimension. Here we use the topology of the infinitesimal generators.
This is joint work with P. Varandas (UFBA)

FCT_V_positivo
Funded by the Portuguese Government through the FCT – Fundação para a Ciência e a Tecnologia under the project UID/MAT/00212/2013

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