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Topological groups and recurrence of quasi transitive graphs

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Abstract

We present all steps which are necessary in order to classify all locally finite, infinite graphs which carry a quasi transitive random walk that is recurrent. Some new and/or simpler proofs are given. Most of them rely on the fact that autmomorphism groups of locally finite graphs are locally compact with respect to the topology of pointwise convergence—this allows the use of integration on these groups.

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Conferenza tenuta il 28 novembre 1994

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Woess, W. Topological groups and recurrence of quasi transitive graphs. Seminario Mat. e. Fis. di Milano 64, 185–213 (1994). https://doi.org/10.1007/BF02925198

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