Szczegóły publikacji
Opis bibliograficzny
Transitive sofic spacing shifts / John Banks, Piotr OPROCHA, Brett Stanley // Discrete and Continuous Dynamical Systems. Series A ; ISSN 1078-0947. — 2015 — vol. 35 no. 10, s. 4743–4764. — Bibliogr. s. 4764, Abstr.
Autorzy (3)
- Banks John
- AGHOprocha Piotr
- Stanley Brett
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 90751 |
|---|---|
| Data dodania do BaDAP | 2015-08-03 |
| Tekst źródłowy | URL |
| DOI | 10.3934/dcds.2015.35.4743 |
| Rok publikacji | 2015 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Discrete and Continuous Dynamical Systems, Series A |
Abstract
Spacing shifts were introduced by Lau and Zame in the 1970's to provide accessible examples of maps that are weakly mixing but not mixing. In previous papers by the authors and others, it has been observed that the problem of describing when spacing shifts are topologically transitive appears to be quite difficult in general. In the present paper, we give a characterization of sofic spacing shifts and begin to investigate which sofic spacing shifts are topologically transitive. We show that the canonical graph presentation of such a shift has a rather simple form, for which we introduce the terminology hereditary bunched cycle and discuss the apparently difficult problem of determining which hereditary bunched cycles actually present spacing shifts.
