Thermodynamic Formalism for Random Countable Markov Shifts
نویسنده
چکیده
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 RuellePerron-Frobenius theorem which enables us to construct a wealth of invariant Gibbs measures for locally fiber Hölder 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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تاریخ انتشار 2007