"Around
total variation for Breuer-Major Theorem and nodal volume of Gaussian fields"
Abstract:
In
this talk, I will revisit the Breuer-Major Theorem from the perspective of total variation metric and will introduce some known results recently established in this framework. I will then explain how to break the limitations of these results and establish
unconditional criteria of convergence in total variation by using a specific gradient in Malliavin calculus (the sharp operator). Next, i will explain how this kind of ideas may be used in the framework of nodal volume of Gaussian fields in order to establish
CLT in the total variation topology. This talk is mainly based on ongoing research with J.Angst and F.Dalmao.
We encourage in-person partecipation. Should
you unable to come, here is the link to the event on Teams:
https://teams.microsoft.com/l/meetup-join/19%3arfsL73KX-fw86y1YnXq2nk5VnZFwPU-iIPEmqet8NCg1%40thread.tacv2/1666788053713?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 Math@TOV.
You can find a schedule with the next events at the following link: https://www.mat.uniroma2.it/~rds/events.php .