Joint ergodicity of actions of an Abelian group
SCIE
SCOPUS
- Title
- Joint ergodicity of actions of an Abelian group
- Authors
- SON, YOUNGHWAN
- Date Issued
- 2014-08
- Publisher
- Cambridge University Press
- Abstract
- Let be a countable abelian group and let be measure preserving -actions on a probability space. We prove that joint ergodicity of implies total joint ergodicity if each is totally ergodic. We also show that if , and the actions commute, then total joint ergodicity of follows from joint ergodicity. This can be seen as a generalization of Berend’s result for commuting -actions.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/104246
- DOI
- 10.1017/etds.2012.190
- ISSN
- 0143-3857
- Article Type
- Article
- Citation
- Ergodic Theory and Dynamical Systems, vol. 34, no. 4, page. 1353 - 1364, 2014-08
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