On Wednesday, October 9th, at 14h00 in Aula Dal Passo of Tor Vergata Math Department, RoMaDS (https://www.mat.uniroma2.it/~rds/events.php) will host

Andriy Olenko (La Trobe University Melbourne) with the seminar

"Limit theorems for multifractal products of random fields”

Abstract: We will discuss the asymptotic properties of multifractal products of random fields. The obtained limit theorems provide conditions for the convergence of cumulative fields in $L_q$ spaces. New results concerning the rate of convergence of cumulative fields will also be presented. Simple, unified conditions for the limit theorems and the calculation of the Rényi function are provided, which are even less restrictive than those found in existing one-dimensional results. The developed methodology is further applied to multidimensional multifractal measures. Finally, a new class of examples based on geometric sub-Gaussian random fields will be introduced. In this case, the general assumptions take a simple form and can be expressed solely in terms of covariance functions. This presentation is based on joint work with I. Donhauzer (La Trobe University).

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

https://teams.microsoft.com/l/meetup-join/19%3arfsL73KX-fw86y1YnXq2nk5VnZFwPU-iIPEmqet8NCg1%40thread.tacv2/1727868151031?context=%7b%22Tid%22%3a%2224c5be2a-d764-40c5-9975-82d08ae47d0e%22%2c%22Oid%22%3a%22650fc4a8-4cec-4bd2-87bc-90d134074fe6%22%7d

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