|
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2003, Number 2, Pages 87–94
(Mi basm200)
|
|
|
|
Research articles
Ergodic sets and mixing extensions of topological transformation semigroups
A. I. Gherco Faculty of Mathematics and Informatics, State University of Moldova, Chişinău, Moldova
Abstract:
We extend the concept of the ergodic set [1]–[2] from topological transformation groups to topological transformation semigroups. We investigate, in particular, connections between ergodicity, weak ergodicity, topological transitivity and minimality of the Whitney's sum of extensions of topological transformation semigroups.
Keywords and phrases:
ergodic, mixing, distal, transformation semigroup.
Received: 31.12.2002
Citation:
A. I. Gherco, “Ergodic sets and mixing extensions of topological transformation semigroups”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2003, no. 2, 87–94
Linking options:
https://www.mathnet.ru/eng/basm200 https://www.mathnet.ru/eng/basm/y2003/i2/p87
|
Statistics & downloads: |
Abstract page: | 152 | Full-text PDF : | 49 | References: | 22 | First page: | 1 |
|