On roughly transitive amenable graphs and harmonic dirichlet functions

Gábor Elek, Gábor Tardos

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We introduce the notion of rough transitivity and prove that there exist no non-constant harmonic Dirichlet functions on amenable roughly transitive graphs.

Original languageEnglish
Pages (from-to)2479-2485
Number of pages7
JournalProceedings of the American Mathematical Society
Volume128
Issue number8
Publication statusPublished - Dec 1 2000

Keywords

  • Amenable graphs
  • Harmonic functions

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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