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