2 citations · 2 across the 2 of their papers we have counts for
7 papers
On the correlation between critical points and critical values for random spherical harmonics
Valentina Cammarota, Anna Paola Todino
We study the correlation between the total number of critical points of random spherical harmonics and the number of critical points with value in any interval $I \subset \mathbb{R…
Nodal deficiency of random spherical harmonics in presence of boundary
Valentina Cammarota, Domenico Marinucci, Igor Wigman
We consider a random Gaussian model of Laplace eigenfunctions on the hemisphere satisfying the Dirichlet boundary conditions along the equator. For this model we find a precise asy…
Lipschitz-Killing Curvatures for Arithmetic Random Waves
Valentina Cammarota, Domenico Marinucci, Maurizia Rossi
In this paper, we show that the Lipschitz-Killing Curvatures for the excursion sets of Arithmetic Random Waves (toral Gaussian eigenfunctions) are dominated, in the high-frequency…
No repulsion between critical points for planar Gaussian random fields
Dmitry Beliaev, Valentina Cammarota, Igor Wigman
We study the behaviour of the point process of critical points of isotropic stationary Gaussian fields. We compute the main term in the asymptotic expansion of the two-point correl…
On the Correlation of Critical Points and Angular Trispectrum for Random Spherical Harmonics
Valentina Cammarota, Domenico Marinucci
We prove a Central Limit Theorem for the Critical Points of Random Spherical Harmonics, in the High-Energy Limit. The result is a consequence of a deeper characterizations of the t…
Boundary effect on the nodal length for Arithmetic Random Waves, and spectral semi-correlations
Valentina Cammarota, Oleksiy Klurman, Igor Wigman
We test M. Berry's ansatz on nodal deficiency in presence of boundary. The square billiard is studied, where the high spectral degeneracies allow for the introduction of a Gaussian…