Non-lacunary Gibbs Measures for Certain Fractal Repellers

被引：0

作者：

Horita, Vanderlei ^{[2
]}

Oliveira, Krerley ^{[1
]}

机构：

[1] Univ Fed Alagoas, Dept Matemat, BR-57072090 Maceio, Alagoas, Brazil

[2] IBILCE UNESP, Dept Matemat, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil

来源：

JOURNAL OF STATISTICAL PHYSICS | 2009年 / 136卷 / 05期

基金：

巴西圣保罗研究基金会;

关键词：

Gibbs measures; Equilibrium states; Thermodynamical formalism; Non-uniform expansion; NONHYPERBOLIC REPELLERS; HAUSDORFF DIMENSION; EQUILIBRIUM STATES; ROBUST CLASSES; UNIQUENESS; EXISTENCE;

D O I：

10.1007/s10955-009-9811-4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：842 / 863

页数：22

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