53 citations · 235 across the 32 of their papers we have counts for
4 papers · 1 filter
Diagonal changes for surfaces in hyperelliptic components
Vincent Delecroix, Corinna Ulcigrai
We describe geometric algorithms that generalize the classical continued fraction algorithm for the torus to all translation surfaces in hyperelliptic components of translation sur…
Beyond substitutive dynamical systems: S-adic expansions
Valérie Berthé, Vincent Delecroix
An S-adic expansion of an infinite word is a way of writing it as the limit of an infinite product of substitutions (i.e., morphisms of a free monoid). Such a description is relate…
Balancedness of Arnoux-Rauzy and Brun words
Vincent Delecroix, Tomáš Hejda, Wolfgang Steiner
We study balancedness properties of words given by the Arnoux-Rauzy and Brun multi-dimensional continued fraction algorithms. We show that almost all Brun words on 3 letters and Ar…
Weak mixing directions in non-arithmetic Veech surfaces
Artur Avila, Vincent Delecroix
We show that the billiard in a regular polygon is weak mixing in almost every invariant surface, except in the trivial cases which give rise to lattices in the plane (triangle, squ…