53 citations · 235 across the 32 of their papers we have counts for
Showing 2013 · math.DSShow all
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math.DS2013★ 2 cited
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…
math.DS2013★ 53 cited
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…
math.DS2013★ 4 cited
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…