56 citations · 231 across the 19 of their papers we have counts for
Showing 2011 · math.COShow all
2 papers · 2 filters
math.CO2011
Selfdual Substitutions in Dimension One
Valérie Berthé, Dirk Frettlöh, Victor Sirvent
There are several notions of the 'dual' of a word/tile substitution. We show that the most common ones are equivalent for substitutions in dimension one, where we restrict ourselve…
math.CO2011★ 3 cited
Connectedness of fractals associated with Arnoux-Rauzy substitutions
Valérie Berthé, Timo Jolivet, Anne Siegel
Rauzy fractals are compact sets with fractal boundary that can be associated with any unimodular Pisot irreducible substitution. These fractals can be defined as the Hausdorff limi…