ON RANDOM TOPOLOGICAL MARKOV CHAINS WITH BIG IMAGES AND PREIMAGES

MANUEL STADLBAUER · Stochastics and Dynamics · 2010

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

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