Palestras e Seminários
02/08/2019
12:00
Sala de aula 3-011
Palestrante: Davi Obata
Responsável: Ali Tahzibi (Este endereço de email está sendo protegido de spambots. Você precisa do JavaScript ativado para vê-lo.)
Seminários de Sistemas Dinâmicos
In this seminar we will study the existence (and uniqueness) of SRB measures for certain partially hyperbolic systems. In particular, we obtain C^2-open sets of dissipative, partially hyperbolic skew products having an unique hyperbolic SRB measure. These partially hyperbolic systems have a two dimensional center which presents both expansion and contraction, and no domination between expanding/contracting directions.
These systems are dissipative perturbations of an example introduced by Berger-Carrasco. The proof uses a combination of recent results: a measure rigidity result by Brown-Rodriguez Hertz, the invariance principle by Tahzibi-Yang, and some techniques developed by the author to prove the stable ergodicity of the same example in the conservative setting. In particular, in a neighborhood of the example we obtain a rigidity result for u-Gibbs measures, that is, we can classify all the possible $u$-Gibbs measures that may appear.
