On random topological Markov chains with big images and preimages

Abstract

We introduce a relative notion of the 'big images and preimages'-property for random topological Markov chains. This then implies that a relative version of the Ruelle-Perron-Frobenius theorem holds with respect to summable and locally Hoelder continuous potentials.

Corrected and extended version of the article published in Stochastics and Dynamics 2010

Cited by in corpus (6)

• Thermodynamic formalism for random non-uniformly expanding maps
• Thermodynamic Formalism for Random Weighted Covering Systems
• Coupling methods for random topological Markov chains
• Countable Alphabet Random Subhifts of finite type with weakly positive transfer operator
• On the Lyapunov spectrum of relative transfer operators
• Multifractal analysis of the Lyapunov exponent for random graph directed Markov systems