53 citations · 235 across the 32 of their papers we have counts for
12 papers · 1 filter
Infinite Translation Surfaces in the Wild
Vincent Delecroix, Pascal Hubert, Ferrán Valdez
This book explores infinite-type translation surfaces and is intended as an introductory text for graduate and PhD students, as well as a reference for more advanced researchers. C…
Higher genus meanders and Masur-Veech volumes
Vincent Delecroix, Elise Goujard, Peter Zograf +1
A meander can be seen as a pair of transversally intersecting simple closed curves on a 2-sphere. We consider pairs of transversally intersecting simple closed curves on a closed o…
Around the combinatorial unit ball of measured foliations on bordered surfaces
Gaëtan Borot, Séverin Charbonnier, Vincent Delecroix +2
The volume of the unit ball -- with respect to the combinatorial length function -- of the space of measured foliations o…
Masur-Veech volumes, frequencies of simple closed geodesics and intersection numbers of moduli spaces of curves
Vincent Delecroix, Elise Goujard, Peter Zograf +1
We express the Masur-Veech volume and the area Siegel-Veech constant of the moduli space of genus meromorphic quadratic differentials with simple poles…
Large genus asymptotic geometry of random square-tiled surfaces and of random multicurves
Vincent Delecroix, Elise Goujard, Peter Zograf +1
We study the combinatorial geometry of a random closed multicurve on a surface of large genus and of a random square-tiled surface of large genus. We prove that primitive component…
Uniform Lower Bound for Intersection Numbers of -Classes
Vincent Delecroix, Élise Goujard, Peter Zograf +1
We approximate intersection numbers on Deligne-Mumford's moduli space of genus stable com…
Conjectural large genus asymptotics of Masur-Veech volumes and of area Siegel-Veech constants of strata of quadratic differentials
Amol Aggarwal, Vincent Delecroix, Elise Goujard +2
We state conjectures on the asymptotic behavior of the Masur-Veech volumes of strata in the moduli spaces of meromorphic quadratic differentials and on the asymptotics of their are…
Masur-Veech volumes, frequencies of simple closed geodesics and intersection numbers of moduli spaces of curves
Vincent Delecroix, Elise Goujard, Peter Zograf +1
We express the Masur-Veech volume and the area Siegel-Veech constant of the moduli space of meromorphic quadratic differential with simple poles as polynomials in the intersection…
Topological recursion for Masur-Veech volumes
Jørgen Ellegaard Andersen, Gaëtan Borot, Séverin Charbonnier +4
We study the Masur-Veech volumes of the principal stratum of the moduli space of quadratic differentials of unit area on curves of genus with punctures. We show…
Contribution of one-cylinder square-tiled surfaces to Masur-Veech volumes
Vincent Delecroix, Elise Goujard, Peter Zograf +1
We compute explicitly the absolute contribution of square-tiled surfaces having a single horizontal cylinder to the Masur-Veech volume of any ambient stratum of Abelian differentia…
Enumeration of meanders and Masur-Veech volumes
Vincent Delecroix, Elise Goujard, Peter Zograf +1
A meander is a topological configuration of a line and a simple closed curve in the plane (or a pair of simple closed curves on the 2-sphere) intersecting transversally. Meanders c…
Square-tiled surfaces of fixed combinatorial type: equidistribution, counting, volumes of the ambient strata
Vincent Delecroix, Elise Goujard, Peter Zograf +1
We prove that square-tiled surfaces having fixed combinatorics of horizontal cylinder decomposition and tiled with smaller and smaller squares become asymptotically equidistributed…