Physical measures for partially hyperbolic surface endomorphisms

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We consider dynamical systems generated by partially hyperbolic surface endomorphisms of class C^r with one-dimensional strongly unstable subbundle. As the main result, we prove that such a dynamical system generically admits finitely many ergodic physical measures whose union of basins of attraction has total Lebesgue measure, provided that r>= 19.
72pages, no figures

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Dynamical Systems, Probability, 37C40; 37E30

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http://salesiana.dossiersoluciones.com/handle/123456789/66320

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0301243
 http://arxiv.org/abs/math/0301243

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arXiv