Harmonic models and spanning forests of residually finite groups

Details Harmonic models and spanning forests of residually finite groups Harmonic models and spanning forests of residually finite groups

2011-08-21

arxiv.org/abs/1108.4192v1

Mathematics

Dynamical Systems

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Scientific paper

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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