On the number of SRB measures for Surface Endomorphisms

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 endo...

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Bibliographic Details
Main Author: Pouya Mehdipour Balagafsheh
Other Authors: Ali Tahzibi
Language:English
Published: Universidade de São Paulo 2014
Subjects:
Closing Iema
Expoentes de Lyapunov
Hiperbolicidade
Medidas SRB
Closing lemma
Hiperbolicity
Lyapunove exponents
SRB measures
Online Access:http://www.teses.usp.br/teses/disponiveis/55/55135/tde-30092014-101422/

Internet

http://www.teses.usp.br/teses/disponiveis/55/55135/tde-30092014-101422/

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