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Bowen topological entropy of subsets for amenable group actions.
- Source :
-
Journal of Mathematical Analysis & Applications . Apr2019, Vol. 472 Issue 2, p1678-1715. 38p. - Publication Year :
- 2019
-
Abstract
- Abstract We extend the definition of Bowen topological entropy of subsets to continuous action of amenable groups on a compact metrizable space. We investigate how Bowen topological entropy behaves for restricted actions of finite-index subgroups and verify the validity of the subgroup formula. We also show that the Bowen topological entropy of subsets for amenable group actions can be determined via the local entropies of measures. As applications, we compute the Bowen topological entropy of a subset for Bernoulli shift over amenable groups. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 472
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 133665616
- Full Text :
- https://doi.org/10.1016/j.jmaa.2018.12.017