8 papers
Statistics on Yau's conjecture: Variance asymptotics
Michele Stecconi, Anna Paola Todino
We investigate the probabilistic counterpart of Yau's conjecture on the nodal volume of Laplace eigenfunctions on compact manifolds, by studying the high-frequency variance asympto…
Scars in random waves and the FGF 1/2 universality class
Louis Gass, Giovanni Peccati, Michele Stecconi
We study the large-domain asymptotics of geometric observables in Berry's random wave model on . We show that, in sharp contrast with the behavior of stationary rando…
Expected Lipschitz-Killing curvatures for spin random fields and other non-isotropic fields
Francesca Pistolato, Michele Stecconi
Spherical spin random fields are used to model the Cosmic Microwave Background polarization, the study of which is at the heart of modern Cosmology and will be the subject of the L…
Zeros and critical points of Gaussian fields: cumulants asymptotics and limit theorems
Michele Ancona, Louis Gass, Thomas Letendre +1
Let be a smooth centered stationary Gaussian field and be a bounded Borel set. In this paper, we determine the…
Universal Cancellations in Uniform Random Waves
Louis Gass, Domenico Marinucci, Giovanni Peccati +2
A vast literature over the past fifteen years has been devoted to the study of the geometric properties of Gaussian random waves. In this work, we investigate the geometric behavio…
Level area of spin random fields: a chaos decomposition
Francesca Pistolato, Michele Stecconi
We study real left-invariant spin Gaussian fields on , a special class of non-isotropic random fields used to model the polarization of the Cosmic Microwave Background. Leve…