Non-lacunary Gibbs Measures for Certain Fractal Repellers
Contribuinte(s) |
Universidade Estadual Paulista (UNESP) |
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Data(s) |
20/05/2014
20/05/2014
01/09/2009
|
Resumo |
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) In this paper, we study non-uniformly expanding repellers constructed as the limit sets for a non-uniformly expanding dynamical systems. We prove that given a Holder continuous potential phi satisfying a summability condition, there exists non-lacunary Gibbs measure for phi, with positive Lyapunov exponents and infinitely many hyperbolic times almost everywhere. Moreover, this non-lacunary Gibbs measure is an equilibrium measure for phi. |
Formato |
842-863 |
Identificador |
http://dx.doi.org/10.1007/s10955-009-9811-4 Journal of Statistical Physics. New York: Springer, v. 136, n. 5, p. 842-863, 2009. 0022-4715 http://hdl.handle.net/11449/22144 10.1007/s10955-009-9811-4 WOS:000270341500003 |
Idioma(s) |
eng |
Publicador |
Springer |
Relação |
Journal of Statistical Physics |
Direitos |
closedAccess |
Palavras-Chave | #Gibbs measures #Equilibrium states #Thermodynamical formalism #Non-uniform expansion |
Tipo |
info:eu-repo/semantics/article |