Lamplighter graphs do not admit harmonic functions of finite energy
arXiv:0907.1398
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.
arXiv:0907.1398
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.