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arXiv · 0907.1398

Lamplighter graphs do not admit harmonic functions of finite energy

Agelos Georgakopoulos
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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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Agelos Georgakopoulos. 2009-07-17. Lamplighter graphs do not admit harmonic functions of finite energy. https://arxiv.org/abs/0907.1398

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