3 papers
math.NT2026
An aperiodic set of Wang tiles for every quadratic irrational
Jarkko Kari, Sébastien Labbé, Pieter Mostert
We propose a sufficient condition for the non-periodicity of a set of Wang tiles. It applies to sets of Wang tiles whose tiles have vertical or horizontal stripes. The proof is bas…
math.DS2022
Indistinguishable asymptotic pairs and multidimensional Sturmian configurations
Sebastián Barbieri, Sébastien Labbé
Two asymptotic configurations on a full -shift are indistinguishable if for every finite pattern the associated sets of occurrences in each configuration coincide up…
math.CO2021
The -analog of the Markoff injectivity conjecture over the language of a balanced sequence
Sébastien Labbé, Mélodie Lapointe
The Markoff injectivity conjecture states that is injective on the set of Christoffel words where is…