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• W2020167312 abstract "Consider the tesselation of the hyperbolic plane by m-gons, l per vertex. In its 1-skeleton, we compute the growth series of vertices, geodesics, tuples of geodesics with common extremities. We also introduce and enumerate holly trees, a family of reduced loops in these graphs. We then apply Grigorchuk's result relating cogrowth and random walks to obtain lower estimates on the spectral radius of the Markov operator associated with a symmetric random walk on these graphs." @default.
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• W2020167312 date "2002-07-01" @default.
• W2020167312 modified "2023-09-26" @default.
• W2020167312 title "Growth Series and Random Walks on Some Hyperbolic Graphs" @default.
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• W2020167312 doi "https://doi.org/10.1007/s006050200043" @default.
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