Non-lacunary Gibbs Measures for Certain Fractal Repellers
Nenhuma Miniatura disponível
Data
2009-09-01
Autores
Horita, Vanderlei [UNESP]
Oliveira, Krerley
Título da Revista
ISSN da Revista
Título de Volume
Editor
Springer
Resumo
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.
Descrição
Palavras-chave
Gibbs measures, Equilibrium states, Thermodynamical formalism, Non-uniform expansion
Como citar
Journal of Statistical Physics. New York: Springer, v. 136, n. 5, p. 842-863, 2009.