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 proveâ€¦ (More)

We establish conditions for aperiodicity of cocycles (in the sense of [GH]), obtaining, via a study of perturbations of transfer operators, conditional local limit theorems and exactness ofâ€¦ (More)

This Article is brought to you for free and open access by the Mathematics & Statistics at ODU Digital Commons. It has been accepted for inclusion in Mathematics & Statistics Faculty Publications byâ€¦ (More)