Szczegóły publikacji
Opis bibliograficzny
Quantified block gluing for multidimensional subshifts of finite type: aperiodicity and entropy / Silvere GANGLOFF, Mathieu Sablik // Journal d'Analyse Mathématique ; ISSN 0021-7670. — 2021 — vol. 144 iss. 1, s. 21–118. — Bibliogr. s. 117–118, Abstr.
Autorzy (2)
- AGHGangloff Silvere
- Sablik Mathieu
Dane bibliometryczne
| ID BaDAP | 138756 |
|---|---|
| Data dodania do BaDAP | 2022-01-14 |
| Tekst źródłowy | URL |
| DOI | 10.1007/s11854-021-0172-5 |
| Rok publikacji | 2021 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Journal d'Analyse Mathématique (Jerusalem) |
Abstract
It is possible to extend the notion of block gluing for subshifts studied in [PS15] adding a gap function which gives the distance which allows to concatenate two rectangular blocks of the language. In this article, we study the interplay between this intensity and computational properties. In particular, we prove that there exists block gluing SFTs with linear gap which are aperiodic and that all the non-negative right-recursively enumerable (pi(1)-computable) numbers can be realized as entropy of such subshifts of finite type. As block gluing with linear gap implies transitivity, this last point provides a solution to Problem 9.1 in [HM10] about the characterization of the entropies of transitive subshift of finite type.
