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ISSN 1088-6826(e) ISSN 0002-9939(p)

Lamplighter graphs do not admit harmonic functions of finite energy

Author(s): Agelos Georgakopoulos
Journal: Proc. Amer. Math. Soc. 138 (2010), 3057-3061.
MSC (2010): Primary 05C25
Posted: May 14, 2010
MathSciNet review: 2653930
Retrieve article in: PDF

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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.

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