Two block gluing constructions
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2026
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866916065463762944 |
|---|---|
| author | Salo, Ville Törmä, Ilkka |
| author_facet | Salo, Ville Törmä, Ilkka |
| contents | We prove two existence results about block gluing in two-dimensional SFTs. First, a large class of functions between exponential and logarithmic can be realized as block gluing functions of two-dimensional SFTs. Second, there exists an aperiodic linearly block gluing two-dimensional SFT with entropy dimension 1. These solve respective open questions of Chandgotia, Gangloff, Hellouin de Menibus and Oprocha, and Gangloff and Sablik. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_31237 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Two block gluing constructions Salo, Ville Törmä, Ilkka Dynamical Systems 37B51 We prove two existence results about block gluing in two-dimensional SFTs. First, a large class of functions between exponential and logarithmic can be realized as block gluing functions of two-dimensional SFTs. Second, there exists an aperiodic linearly block gluing two-dimensional SFT with entropy dimension 1. These solve respective open questions of Chandgotia, Gangloff, Hellouin de Menibus and Oprocha, and Gangloff and Sablik. |
| title | Two block gluing constructions |
| topic | Dynamical Systems 37B51 |
| url | https://arxiv.org/abs/2605.31237 |