2 papers
math.CO2022
Colourings of aperiodic tilings
Molly Evans, Dylan Gawlak, Christopher Ramsey +2
We find explicit optimal vertex, edge and face coulourings for the chair tiling, the Ammann--Beenker tiling, the rational pinwheel tiling and the pinwheel tiling.
math.OA2021
Symbolic Substitutions, Bratteli Diagrams and Operator Algebras
Dylan Gawlak, Christopher Ramsey
In this paper we look at symbolic substitutions and their relationship to Bratteli diagrams and their associated operator algebras. In particular, we consider the equivalence relat…