id: 06100603 dt: j an: 06100603 au: Bowen, Lewis; Li, Hanfeng ti: Harmonic models and spanning forests of residually finite groups. so: J. Funct. Anal. 263, No. 7, 1769-1808 (2012). py: 2012 pu: Elsevier, Amsterdam la: EN cc: ut: harmonic model; algebraic dynamical system; wired spanning forest; WSF; tree entropy ci: li: doi:10.1016/j.jfa.2012.06.015 ab: Summary: 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. rv: