Otro
Non-lacunary Gibbs Measures for Certain Fractal Repellers
Registro en:
Journal of Statistical Physics. New York: Springer, v. 136, n. 5, p. 842-863, 2009.
0022-4715
10.1007/s10955-009-9811-4
WOS:000270341500003
0000-0002-9304-0655
Autor
Horita, Vanderlei
Oliveira, Krerley
Resumen
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. 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)