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arxiv: 0904.4630 · v3 · pith:5QI3JEEBnew · submitted 2009-04-29 · 🧮 math.DS · math.PR

On random topological Markov chains with big images and preimages

classification 🧮 math.DS math.PR
keywords chainsimagesmarkovpreimagesrandomrelativetopologicalcontinuous
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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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