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On roughly transitive amenable graphs and harmonic Dirichlet functions |
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| Authors: | Gá bor Elek Gá bor Tardos |
| Institution: | Rényi Institute of the Hungarian Academy of Sciences, P. O. Box 127, H-1364 Budapest, Hungary ; Rényi Institute of the Hungarian Academy of Sciences, P. O. Box 127, H-1364 Budapest, Hungary |
| Abstract: | We introduce the notion of rough transitivity and prove that there exist no non-constant harmonic Dirichlet functions on amenable roughly transitive graphs. |
| Keywords: | Amenable graphs harmonic functions |
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