RUELLES TRANSFER OPERATOR FOR RANDOM SUBSHIFTS OF FINITE-TYPE

被引：58

作者：

BOGENSCHUTZ, T ^{[1
]}

GUNDLACH, VM ^{[1
]}

机构：

[1] UNIV BREMEN, INST DYNAM SYST, D-28334 BREMEN, GERMANY

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 1995年 / 15卷

关键词：

D O I：

10.1017/S0143385700008464

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a Ruelle-Perron-Frobenius type of selection procedure for probability measures that are invariant under random subshifts of finite type. In particular we prove that for a class of random functions this method leads to a unique probability exhibiting properties that justify the names Gibbs measure and equilibrium states. In order to do this we introduce the notion of bundle random dynamical systems and provide a theory for their invariant measures as well as give a precise definition of Gibbs measures.

引用

页码：413 / 447

页数：35

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