Harmonic models and spanning forests of residually finite groups |
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| Authors: | Lewis Bowen Hanfeng Li |
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| Affiliation: | 1. Department of Mathematics, Texas A&M University, College Station, TX 77843-3368, USA;2. Department of Mathematics, Chongqing University, Chongqing 401331, China;3. Department of Mathematics, SUNY at Buffalo, Buffalo, NY 14260-2900, USA |
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| Abstract: | We prove a number of identities relating the sofic entropy of a certain class of non-expansive algebraic dynamical systems, the sofic entropy of the Wired Spanning Forest and the tree entropy of Cayley graphs of residually finite groups. We also show that homoclinic points and periodic points in harmonic models are dense under general conditions. |
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