剩余有限群的调和模型与生成森林
Harmonic models and spanning forests of residually finite groups
摘要：
本文证明了一类非扩张代数动力系统的sofic熵、有线生成森林的sofic熵和剩余有限群的Cayley图的树熵之间的若干恒等式。我们还证明了调和模型中的同宿点和周期点在一般条件下是稠密的。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
