On the convex hull of several Gaussian random walks in higher dimensions

Date/heure
19 décembre 2019
10:45 - 11:45

Oratrice ou orateur
Julien Randon-Furling

Catégorie d'évènement
Séminaire Probabilités et Statistique


Résumé

We derive explicit formulae for the expected volume and the expected number of faces of the convex hull of several multidimensional Gaussian random walks, in terms of the Gaussian persistence probabilities. We generalize further our formulae to Gaussian random walks with random (Gaussian) starting points. Special cases include the d-dimensional Gaussian polytope with or without the origin.

Joint work with Dmitry Zaporozhets (Steklov Institute St Petersburg)