DCDS
Thermodynamic formalism for random countable Markov shifts
Manfred Denker Yuri Kifer Manuel Stadlbauer
Discrete & Continuous Dynamical Systems - A 2008, 22(1&2): 131-164 doi: 10.3934/dcds.2008.22.131
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 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.
keywords: variational principle random countable shifts thermodynamic formalism random transformations.
DCDS
Corrigendum to: Thermodynamic formalism for random countable Markov shifts
Manfred Denker Yuri Kifer Manuel Stadlbauer
Discrete & Continuous Dynamical Systems - A 2015, 35(1): 593-594 doi: 10.3934/dcds.2015.35.593
We correct a flaw in the proof of Proposition 6.3 in [1].
keywords: Random countable shifts random transformations. thermodynamic formalism variational principle

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