环面上Z_+~k-作用的Friedland熵的计算公式

A formula of Friedland's entropy for Z_+~k -actions on tori

本文对环面上Z_k^+-作用的Friedland熵进行研究.针对由两两不同的可交换非奇异整数矩阵诱导的环面上的Z_k^+-作用,运用与之相关联的斜积系统的相对变分原理和拓扑压等工具,得到Friedland熵的计算公式.

In this paper, Friedland’s entropy for Z_＋~k -actions on tori is investigated. For a Z_＋~k -action on torus generated by pairwise different, commuting non-singular integer matrices, a formula of Friedland’s entropy is obtained via the relative variational principle for the related skew product transformation and topological pressure.