Conférence de systèmes dynamiques.
Résumé
We show how recent equidistribution results allow to compute approximate values of Masur-Veech volumes of the strata in the moduli spaces of Abelian and quadratic dierentials by Monte Carlo method.
We also show how similar approach allows to count asymptotical number of meanders of fixed combinatorial type in various settings in all genera. Our formulae are particularly efficient for classical meanders in genus zero (joint work with V. Delecroix, E. Goujard, P. Zograf).
