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Doctoral Thesis
DOI
https://doi.org/10.11606/T.55.2014.tde-30092014-101422
Document
Author
Full name
Pouya Mehdipour Balagafsheh
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2014
Supervisor
Committee
Tahzibi, Ali (President)
Andersson, Nils Martin
Oliveira, Krerley Irraciel Martins
Varandas, Paulo César Rodrigues Pinto
Title in English
On the number of SRB measures for Surface Endomorphisms
Keywords in English
Closing lemma
Hiperbolicity
Lyapunove exponents
SRB measures
Abstract in English
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 endomorphisms and prove ergodic criterion, introduced in [HHTU], for endomorphisms. We also prove some folklore results on uniqueness of SRB measures, in the presence of topological transitivity
Title in Portuguese
Sobre números das medidas SRB para endomorfismos da superfície
Keywords in Portuguese
Closing Iema
Expoentes de Lyapunov
Hiperbolicidade
Medidas SRB
Abstract in Portuguese
Seja f um endomorfismo C2 non-singular (difeomorfismo local), de uma superfície fechada M e µ uma medida probabilidade Borel f-invariante e ergódica com expoentes de Lyapunov Não nulo. Nós provamos que o número de medidas hiperbólicas com propriedade SRB é para f so menor ou igual ao número de classes equivalentes homoclínicos. Usamos uma adaptaão do closing lema de Katok por endomorfismos e provamos critrio ergódico, introduzido em [HHTU], para endomorfismos. Também provamos alguns resultados folclóricos em unicidade de medidas SRB, na presena de transitividade topológica vii
 
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Pouya_teseRev.pdf (1.05 Mbytes)
Publishing Date
2014-09-30
 
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