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20112026
most citedBeyond substitutive dynamical systems: S-adic expansions

53 citations · 235 across the 32 of their papers we have counts for

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Showing 2019Show all

6 papers · 1 filter

math.GT2019★ 7 cited

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…

math.DS2019★ 1 cited

Coding Teichmüller flow using veering triangulations

Mark Bell, Vincent Delecroix, Vaibhav Gadre +2

We develop the theory of veering triangulations on oriented surfaces adapted to moduli spaces of half-translation surfaces. We use veering triangulations to give a coding of the Te…

math.GT2019★ 23 cited

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…

math.DS2019

Approximation of the Lagrange and Markov spectra

Vincent Delecroix, Carlos Matheus, Carlos Gustavo Moreira

The (classical) Lagrange spectrum is a closed subset of the positive real numbers defined in terms of diophantine approximation. Its structure is quite involved. This article descr…

math.GT2019★ 23 cited

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…

math.GT2019

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…