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The strong liouville property for a class of random walks

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Abstract

We prove that the positive harmonic functions for symmetric or centered probability measures on countable groups of polynomial growth are constant.

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Authors and Affiliations

  1. Department of Mathematics, University of Washington, 98195, Seattle, WA, USA

    K. Bruce Erickson

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  1. K. Bruce Erickson
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Bruce Erickson, K. The strong liouville property for a class of random walks. Monatshefte für Mathematik 109, 237–246 (1990). https://doi.org/10.1007/BF01297763

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  • DOI: https://doi.org/10.1007/BF01297763

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