Multi angle Cancellations in random nodal sets
Auteurs : Peccati, Giovanni (Auteur de la Conférence)
CIRM (Editeur )
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Résumé : I will discuss second order results for the length of nodal sets and the number of phase singularities associated with Gaussian random Laplace eigenfunctions, both on compact manifolds (the flat torus) and on subset of the plane. I will mainly focus on 'cancellation phenomena' for nodal variances in the high-frequency limit, with specific emphasis on central and non-central second order results.Codes MSC :
Based on joint works with F. Dalmao, D. Marinucci, I. Nourdin, M. Rossi and I. Wigman.
35P20 - Asymptotic distribution of eigenvalues and eigenfunctions for PD operators
58J50 - Spectral problems; spectral geometry; scattering theory
60B10 - Convergence of probability measures
60D05 - Geometric probability and stochastic geometry
60F05 - Central limit and other weak theorems
60G60 - Random fields