1,552 research outputs found

    On conformal measures and harmonic functions for group extensions

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    We prove a Perron-Frobenius-Ruelle theorem for group extensions of topological Markov chains based on a construction of σ\sigma-finite conformal measures and give applications to the construction of harmonic functions.Comment: To appear in Proceedings of "New Trends in Onedimensional Dynamics, celebrating the 70th birthday of Welington de Melo

    On conformal measures and harmonic functions for group extensions

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    We prove a Perron-Frobenius-Ruelle theorem for group extensions of topological Markov chains based on a construction of σ\sigma-finite conformal measures and give applications to the construction of harmonic functions.Comment: To appear in Proceedings of "New Trends in Onedimensional Dynamics, celebrating the 70th birthday of Welington de Melo
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