On extended entropy for independent maps

On extended entropy for independent maps

The goal of this paper is to develop the definition of topological entropy for two independent mappings. First, we would like to demonstrate such entropy-like value is conjugate invariant. Some basic dynamical propositions are also discussed in the paper. Finally, we also show the extended entropy f...

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Veröffentlicht in:Journal of mathematical analysis and applications 2023-11, Vol.527 (1), p.127347, Article 127347
1. Verfasser: Cheng, Wen-Chiao
Format: Artikel
Sprache:eng
Schlagworte:
Power rule
Product rule
Semi-conjugate
Topological entropy
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Zusammenfassung:The goal of this paper is to develop the definition of topological entropy for two independent mappings. First, we would like to demonstrate such entropy-like value is conjugate invariant. Some basic dynamical propositions are also discussed in the paper. Finally, we also show the extended entropy for the doubling map and the tripling map on the unit circle. This value is not equal to the value of the product rule.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2023.127347