22 citations · 43 across the 13 of their papers we have counts for
3 papers · 2 filters
Functional Convergence of Berry's Nodal Lengths: Approximate Tightness and Total Disorder
Massimo Notarnicola, Giovanni Peccati, Anna Vidotto
We consider Berry's random planar wave model (1977), and prove spatial functional limit theorems - in the high-energy limit - for discretized and truncated versions of the random f…
Fluctuations of Level Curves for Time-Dependent Spherical Random Fields
Domenico Marinucci, Maurizia Rossi, Anna Vidotto
The investigation of the behaviour for geometric functionals of random fields on manifolds has drawn recently considerable attention. In this paper, we extend this framework by con…
Non-Universal Moderate Deviation Principle for the Nodal Length of Arithmetic Random Waves
Claudio Macci, Maurizia Rossi, Anna Vidotto
Inspired by the recent work [MRT21], we prove a non-universal non-central Moderate Deviation principle for the nodal length of arithmetic random waves (Gaussian Laplace eigenfuncti…