85 citations · 168 across the 13 of their papers we have counts for
Showing math.DSShow all
3 papers · 1 filter
math.DS2020★ 2 cited
Tilings of the hyperbolic plane of substitutive origin as subshifts of finite type on Baumslag-Solitar groups
Nathalie Aubrun, Michael Schraudner
We present a technique to lift some tilings of the discrete hyperbolic plane -- tilings defined by a 1D substitution -- into a zero entropy subshift of finite type (SFT) on non-abe…
math.DS2016★ 85 cited
Simulation of Effective Subshifts by Two-dimensional Subshifts of Finite Type
Nathalie Aubrun, Mathieu Sablik
In this article we study how a subshift can simulate another one, where the notion of simulation is given by operations on subshifts inspired by the dynamical systems theory (facto…
math.DS2015★ 31 cited
Realization of aperiodic subshifts and uniform densities in groups
Nathalie Aubrun, Sebastián Barbieri, Stéphan Thomassé
A theorem of Gao, Jackson and Seward, originally conjectured to be false by Glasner and Uspenskij, asserts that every countable group admits a -coloring. A direct consequence of…