4 papers · 1 filter
Random Lipschitz-Killing curvatures: reduction principles, integration by parts and Wiener chaos
Anna Vidotto
In this survey we collect some recent results regarding the Lipschitz-Killing curvatures (LKCs) of the excursion sets of random eigenfunctions on the two-dimensional standard flat…
A Note on the Reduction Principle for the Nodal Length of Planar Random Waves
Anna Vidotto
Inspired by the recent work [MRW20], we prove that the nodal length of a planar random wave , i.e. the length of its zero set , is asymptotically equivalent,…
Non-Universal Fluctuations of the Empirical Measure for Isotropic Stationary Fields on
Domenico Marinucci, Maurizia Rossi, Anna Vidotto
In this paper, we consider isotropic and stationary real Gaussian random fields defined on and we investigate the asymptotic behavior, as $T\rightarr…
Gaussian Random Measures Generated by Berry's Nodal Sets
Giovanni Peccati, Anna Vidotto
We consider vectors of random variables, obtained by restricting the length of the nodal set of Berry's random wave model to a finite collection of (possibly overlapping) smooth co…