Entropy for endomorphisms of LCA groups
The author introduces a modified version of the entropy defined for locally compact abelian groups by \textit{J. Peters} [Pac. J. Math. 96, 475--488 (1981; Zbl 0478.28010)]. The advantage of this approach is that it allows one to work with endomorphisms instead of automorphisms. After studying some of the basic properties of this new entropy the author gives and proves some formulae to compute the entropy of endomorphisms of \(\mathbb{Z}^N\), \(\mathbb{R}^N\) and \(\mathbb{C}^N\), for every positive integer \(N\).
scientific article; zbMATH DE number 6047981