On random topological Markov chains with big images and preimages

Mathematics – Dynamical Systems

Scientific paper

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Scientific paper

10.1142/S0219493710002863

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.

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