Wednesday, January 19, 2022 - 14:00 in ZOOM - Video Conference
Nonlinear Statistics of Hyperbolic Random Waves
A talk in the Bielefeld Stochastic Afternoon series by
Francesco Grotto
| Abstract: |
Berry's model is a Gaussian random field on Euclidean space describing the high-frequency behaviour of Laplacian eigenfunctions, and it was originally introduced in the study of chaotic quantum billiards on flat domains. We will describe how it is possible to define an analogue model on hyperbolic space, and outline how high-frequency and large-domain limiting behaviours in this new setting mirror the ones on Euclidean space, notwithstanding the different underlying geometry. We will in particular discuss excursion areas and the length of nodal sets, their moments, their Wiener chaos expansions and CLTs they satisfy.
(Joint work with Giovanni Peccati).
This talk will be held via Zoom (for details email stochana(at)math.uni-bielefeld.de).
Within the CRC this talk is associated to the project(s): B8 |
Back
