38 citations · 170 across the 22 of their papers we have counts for
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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…
A Numerical Investigation on the High-Frequency Geometry of Spherical Random Eigenfunctions
Yabebal Fantaye, Valentina Cammarota, Domenico Marinucci +1
A lot of attention has been drawn over the last few years by the investigation of the geometry of spherical random eigenfunctions (random spherical harmonics) in the high frequency…
Two point function for critical points of a random plane wave
Dmitry Beliaev, Valentina Cammarota, Igor Wigman
Random plane wave is conjectured to be a universal model for high-energy eigenfunctions of the Laplace operator on generic compact Riemanian manifolds. This is known to be true on…
On the distribution of the critical values of random spherical harmonics
Valentina Cammarota, Domenico Marinucci, Igor Wigman
We study the limiting distribution of critical points and extrema of random spherical harmonics, in the high energy limit. In particular, we first derive the density functions of e…