Thermodynamic formalism for random countable Markov shifts

Denker M; Kifer Y; Stadlbauer M

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Thermodynamic formalism for random countable Markov shifts

机译：Thermodynamic formalism for random countable Markov shifts

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摘要

We introduce a relative Gurevich pressure for random countable topologically mixing Markov shifts. It is shown that the relative variational principle holds for this notion of pressure. We also prove a relative Ruelle-Perron-Frobenius theorem which enables us to construct a wealth of invariant Gibbs measures for locally fiber Holder continuous functions. This is accomplished via a new construction of an equivariant family of fiber measures using Crauel's relative Prohorov theorem. Some properties of the Gibbs measures are discussed as well.

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来源
《Discrete and continuous dynamical systems》 |2008年第2期|131-164|共34页
作者
Denker M; Kifer Y; Stadlbauer M;
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作者单位

Univ Gottingen, Inst Math Stochastik, D-37073 Gottingen, Germany.;

Hebrew Univ Jerusalem, Einstein Inst Math, IL-91904 Jerusalem, Israel.;

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原文格式 PDF
正文语种英语
中图分类理论力学（一般力学）;
关键词
random countable shifts; variational principle; thermodynamic formalism; random transformations;

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Thermodynamic formalism for random countable Markov shifts

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