Packing topological entropy for amenable group actions

• Published in: Ergodic theory and dynamical systems Vol. 43; no. 2; pp. 480 - 514
• Main Authors: DOU, DOU, ZHENG, DONGMEI, ZHOU, XIAOMIN
• Format: Journal Article
• Language: English
• Published: Cambridge, UK Cambridge University Press 01.02.2023
• Subjects: Dynamical systems; Entropy; Metric space; Original Article; Topology; packing topological entropy; variational principle; 37B40; generic point; 28D20; 37A15; amenable group

Packing topological entropy is a dynamical analogy of the packing dimension, which can be viewed as a counterpart of Bowen topological entropy. In the present paper we give a systematic study of the packing topological entropy for a continuous G-action dynamical system $(X,G)$ , where X is a compact...