On the number of SRB measures for Surface Endomorphisms

Let f be a C2 local diffeomorphism, of a closed surface M without zero Lyapunov exponents. We have proved that the number of ergodic hyperbolic measures of f with SRB property is less than equal to the number of homoclinic equivalence classes. We use an adaptation of Katok closing lemma for endomorp...

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Bibliographic Details
Main Author: Balagafsheh, Pouya Mehdipour
Other Authors: Tahzibi, Ali
Format: Others
Language:en
Published: Biblioteca Digitais de Teses e Dissertações da USP 2014
Subjects:
Online Access:http://www.teses.usp.br/teses/disponiveis/55/55135/tde-30092014-101422/