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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On roughly transitive amenable graphs and harmonic Dirichlet functions
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by Gábor Elek and Gábor Tardos PDF
Proc. Amer. Math. Soc. 128 (2000), 2479-2485 Request permission

Abstract:

We introduce the notion of rough transitivity and prove that there exist no non-constant harmonic Dirichlet functions on amenable roughly transitive graphs.
References
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Additional Information
  • Gábor Elek
  • Affiliation: Rényi Institute of the Hungarian Academy of Sciences, P. O. Box 127, H-1364 Budapest, Hungary
  • MR Author ID: 360750
  • Email: elek@math-inst.hu
  • Gábor Tardos
  • Affiliation: Rényi Institute of the Hungarian Academy of Sciences, P. O. Box 127, H-1364 Budapest, Hungary
  • Email: tardos@math-inst.hu
  • Received by editor(s): July 6, 1998
  • Received by editor(s) in revised form: September 8, 1998
  • Published electronically: February 25, 2000
  • Additional Notes: The first author was supported by OTKA grant T25004 and the Bolyai Fellowship.
    The second author was supported by OTKA grants F014919, T029255 and AKP grant 97-56.
  • Communicated by: Józef Dodziuk
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 128 (2000), 2479-2485
  • MSC (1991): Primary 58G05
  • DOI: https://doi.org/10.1090/S0002-9939-00-05288-6
  • MathSciNet review: 1657731