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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
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: |
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| 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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