SRB measures for non uniform hyperbolic endomorphisms

Orador: Anderson Cruz (Universidade do Porto). Data, hora e local: 23 de Outubro de 2015, às 14h na sala de reuniões do Departamento de Matemática.

Resumo: The concept of SRB measures arise in the 70′s with the works of Sinai, Ruelle and Bowen. They shown that for C^2 hyperbolic diffeomorphisms there exist a invariant probability measure which has absolute continuous conditional measures with respect to the Lebesgue measure along unstable manifolds. Often, the measure induced by a volume form on the manifold is not invariant and the map is volume decreasing. This property means that, in some sense, exist a invariant probability measure which is comparable to the volume measure.
In this talk, we study measures with the SRB property relatively to an endomorphism and present a way to construct them for a class of endomorphisms that has some non uniform hyperbolicity. Here we mean by a endomorphism a local diffeomorphism in a compact Riemannian manifold. 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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