4 citations · 4 across the 1 of their papers we have counts for
5 papers
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…
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…
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…
Asymptotics of lieanders with fixed composition sizes
Vincent Delecroix
Lieanders are special cases of meanders and first appeared in connection with Lie algebras. Using the results from the author with E. Goujard, P. Zograf and A. Zorich, we prove a p…
Some monoids of Pisot matrices
Artur Avila, Vincent Delecroix
We show that several monoids of non-negative integer matrices enjoy a Pisot property: each matrix in that monoid has only one eigenvalue with absolute value larger than one. These…