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Lamplighter graphs do not admit harmonic functions of finite energy

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Georgakopoulos, Agelos (2010) Lamplighter graphs do not admit harmonic functions of finite energy. Proceedings of the American Mathematical Society, Vol.138 (No.9). pp. 3057-3061. doi:10.1090/S0002-9939-2010-10279-4

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Official URL: http://dx.doi.org/10.1090/S0002-9939-2010-10279-4

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Abstract

We prove that a lamplighter graph of a locally finite graph over a finite graph does not admit a non-constant harmonic function of finite Dirichlet energy.

Item Type: Journal Article
Divisions: Faculty of Science > Mathematics
Journal or Publication Title: Proceedings of the American Mathematical Society
Publisher: American Mathematical Society
ISSN: 0002-9939
Official Date: 2010
Dates:
DateEvent
2010Published
Volume: Vol.138
Number: No.9
Page Range: pp. 3057-3061
DOI: 10.1090/S0002-9939-2010-10279-4
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access

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