Local generation of tilings

Abstract In this article, we investigate the possibility of generating all the configurations of a subshift in a local way. We propose two definitions of local generation, explore their properties and develop techniques to determine whether a subshift satisfies these definitions. We illustrate the results with several examples.

Authors

Mathieu Hoyrup (ORCID: https://orcid.org/0000-0003-1828-0699)
Tom Favereau

Institutions

Université de Lorraine (FR)
École Nationale Supérieure des Mines de Nancy (FR)

Publication Details

Journal: Ergodic Theory and Dynamical Systems
Published: 2025-07-18
DOI: https://doi.org/10.1017/etds.2025.10193
Primary Topic: Cellular Automata and Applications
Type: article
Field-Weighted Citation Impact: 0.00

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article

Local generation of tilings

Mathieu Hoyrup, Tom Favereau

Jul 18, 2025

Ergodic Theory and Dynamical Systems

Cellular Automata and Applications

article

Local generation of tilings

Mathieu Hoyrup, Tom Favereau

July 18, 2025article en

Abstract

Ergodic Theory and Dynamical SystemsVol. 45(11)

Université de Lorraine (FR), École Nationale Supérieure des Mines de Nancy (FR)

Openalex Percentile: Top 79%

Cellular Automata and Applications

DOI Open Access PDF OpenAlex

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Local generation of tilings — Mathieu Hoyrup, Tom Favereau · Ergodic Theory and Dynamical Systems (2025) | TGRS Research Map | TGRS