Abstract: In the first part of my talk, I will present several recent limit theorems - say, obtained in the last decade - allowing one to describe the high-energy (or large domain) fluctuations of geometric quantities associated with smooth Gaussian random fields on manifolds. In the second part, based on a joint work with M. Stecconi, I will illustrate how one can characterize the absolute continuity of the law of these objects by using the Malliavin calculus of variations. One recurring example in my discussion will be the so-called "Berry's random wave model", whose conjectured universal nature is still an almost completely open question.
On the law of random nodal volumes
27.01.2025 15:45 - 16:45
Organiser:
M. Beiglböck, N. Berestycki, L. Erdös, J. Maas, F. Toninelli, E. Schertzer
Location:
HS 42, Hauptgebäude UNIVIE, 2. Stock, Stiege 7