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arXiv · 1712.02041

On conformal measures and harmonic functions for group extensions

Manuel Stadlbauer
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Abstract

We prove a Perron-Frobenius-Ruelle theorem for group extensions of topological Markov chains based on a construction of $\sigma$-finite conformal measures and give applications to the construction of harmonic functions.

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Manuel Stadlbauer. 2017-12-06. On conformal measures and harmonic functions for group extensions. https://doi.org/10.1007/978-3-030-16833-9_15

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