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ℤd-actions with prescribed topological and ergodic properties
| Content Provider | Scilit |
|---|---|
| Author | Lima, Yuri |
| Copyright Year | 2011 |
| Description | We extend constructions of Hahn and Katznelson [On the entropy of uniquely ergodic transformations. Trans. Amer. Math. Soc.126 (1967), 335–360] and Pavlov [Some counterexamples in topological dynamics. Ergod. Th. & Dynam. Sys.28 (2008), 1291–1322] to $ℤ^{d}$-actions on symbolic dynamical spaces with prescribed topological and ergodic properties. More specifically, we describe a method to build $ℤ^{d}$-actions which are (totally) minimal, (totally) strictly ergodic and have positive topological entropy. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/7087C8261FD458B5E41D09EDA30968DC/S0143385710000908a.pdf/div-class-title-span-class-sup-span-class-italic-d-span-span-actions-with-prescribed-topological-and-ergodic-properties-div.pdf |
| Ending Page | 209 |
| Page Count | 19 |
| Starting Page | 191 |
| ISSN | 01433857 |
| e-ISSN | 14694417 |
| DOI | 10.1017/s0143385710000908 |
| Journal | Ergodic Theory and Dynamical Systems |
| Issue Number | 1 |
| Volume Number | 32 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 2012-02-01 |
| Access Restriction | Open |
| Subject Keyword | Ergodic Theory and Dynamical Systems Applied Mathematics Unique Ergodicity Symbolic Dynamics. 1 Positive Topological Entropy actions Topological Entropy Dynamic System Symbolic Dynamics |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics |
