Non-lacunary Gibbs Measures for Certain Fractal Repellers

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Data

2009-09-01

Autores

Horita, Vanderlei [UNESP]
Oliveira, Krerley

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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.

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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.