Tail Invariant Measures of the Dyck Shift
| dc.creator | Meyerovitch, Tom | |
| dc.date | 2004-06-02 | |
| dc.date | 2007-11-07 | |
| dc.date.accessioned | 2026-07-07T08:41:07Z | |
| dc.date.available | 2026-07-07T08:41:07Z | |
| dc.description | We show that the one-sided Dyck shift has a unique tail invariant topologically $σ$-finite measure (up to scaling). This invariant measure of the one sided Dyck turns out to be a shift-invariant probability. Furthermore, it is one of the two ergodic probabilities obtaining maximal entropy. For the two sided Dyck shift we show that there are exactly three ergodic double-tail invariant probabilities. We show that the two sided Dyck has a double-tail invariant probability, which is also shift invariant, with entropy strictly less than the topological entropy. | |
| dc.description | Replaces old version of this article and also of math.DS/0408201. To appear in Israel J. of Math. This article is a part of the author's M.Sc. thesis, written under the supervision of J. Aaronson, Tel-Aviv University | |
| dc.identifier | https://arxiv.org/abs/math/0406045 | |
| dc.identifier | http://arxiv.org/abs/math/0406045 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/141581 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37B10, 37C29 | |
| dc.title | Tail Invariant Measures of the Dyck Shift | |
| dc.type | text |