Disjoint topological transitivity for weighted translations generated by group actions

Autor: Seyyed Mohammad Tabatabaie, Ali Mohammadi, Chung-Chuan Chen
Rok vydání: 2021
Předmět:
Zdroj: Mathematica Slovaca. 71:1229-1240
ISSN: 1337-2211
0139-9918
Popis: In this note, we give a sufficient and necessary condition for weighted translations, generated by group actions, to be disjoint topologically transitive in terms of the weights, the group element and the measure. The characterization of disjoint topological mixing is obtained as well. Moreover, we apply the results to the quotient spaces of locally compact groups and hypergroups.
Databáze: OpenAIRE