On Wednesday, March 29th, at 11h00 (change of usual time!) in Aula Dal Passo at Roma Tor Vergata, RoMaDS (https://www.mat.uniroma2.it/~rds/about.php) will host Francesco Grotto (Università di Pisa) with the seminar

"Random Waves, Oscillatory Integrals and Random Walks"

Abstract: We consider Random Wave models, that is probability distributions on Laplacian eigenfunctions, on homogeneous spaces such as Euclidean spaces, Hyperspheres and Hyperbolic spaces. Determining the asymptotic behavior at large frequency of functionals of these objects is complicated by the oscillatory nature of their covariance functions. Oscillatory integrals appearing in evaluating variances of said functionals turn out to be closely related to integral representations of densities of uniform random walks in Euclidean spaces, and this connection can be exploited to deduce results on fluctuations of integral functionals of Random Waves.

We encourage in-person partecipation. Should you be unable to come, here is the link to the event on Teams.

The seminar is part of the Excellence Project MatMod@TOV.

You can find a schedule with the next events at the following link: https://www.mat.uniroma2.it/~rds/events.php.