Random perturbations of Axiom A basic sets

被引：43

作者：

Liu, PD

机构：

[1] IHES, Bures Sur Yvette, France

[2] Univ Bremen, Inst Dynam Syst, D-28334 Bremen, Germany

来源：

JOURNAL OF STATISTICAL PHYSICS | 1998年 / 90卷 / 1-2期

关键词：

Axiom A basic set; bundle random dynamical system; equilibrium state; SRB measure;

D O I：

10.1023/A:1023280407906

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we study small, random, diffeomorphism-type perturbations of an Axiom A basic set. By means of the structural stability of such a basic set with respect to time-dependent perturbations and by means of the Markov partition of the basic set, we apply the thermodynamic formalism of random subshifts of finite type to this situation, obtaining some ergodic-theoretic results concerning equilibrium states.

引用

页码：467 / 490

页数：24

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