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math-ph2019★ 5 cited
On the correlation between nodal and boundary lengths for random spherical harmonics
Domenico Marinucci, Maurizia Rossi
We study the correlation between the nodal length of random spherical harmonics and the measure of the boundary for excursion sets at any non-zero level. We show that the correlati…
math-ph2015
Non-Universality of Nodal Length Distribution for Arithmetic Random Waves
Domenico Marinucci, Giovanni Peccati, Maurizia Rossi +1
"Arithmetic random waves" are the Gaussian Laplace eigenfunctions on the two-dimensional torus (Rudnick and Wigman (2008), Krishnapur, Kurlberg and Wigman (2013)). In this paper we…