3 papers
math.CO2020
On non-repetitive complexity of Arnoux-Rauzy words
Kateřina Medková, Edita Pelantová, Élise Vandomme
The non-repetitive complexity and the initial non-repetitive complexity are functions which reflect the structure of the infinite w…
math.CO2019
Recurrence along directions in multidimensional words
Émilie Charlier, Svetlana Puzynina, Élise Vandomme
In this paper we introduce and study new notions of uniform recurrence in multidimensional words. A -dimensional word is called \emph{uniformly recurrent} if for all $(s_1,\ldot…
math.CO2018
Critical exponents of infinite balanced words
Narad Rampersad, Jeffrey Shallit, Élise Vandomme
Over an alphabet of size 3 we construct an infinite balanced word with critical exponent 2+sqrt(2)/2. Over an alphabet of size 4 we construct an infinite balanced word with critica…