On the correlation between nodal and nonzero level sets for random spherical harmonics

D Marinucci, M Rossi - Annales Henri Poincaré, 2021 - Springer
We study the correlation between the nodal length of random spherical harmonics and the
length of a nonzero level set. We show that the correlation is asymptotically zero, while the …

[PDF][PDF] Reading group on random nodal lines at ETHZ and Zürich University, Autumn 2019, 1 st and 2 nd talks. Overview and concentration results for nodal lines.

H Vanneuville - hugo-vanneuville.perso.math.cnrs.fr
The function κ is called the covariance function. We assume that f is as C∞(which is
equivalent to the fact that κ is C∞) 1. We also assume that the law of f is invariant under …

[PDF][PDF] Reading group on random nodal lines at ETHZ, Autumn 2019, 1 st talk: introduction.

H Vanneuville - metaphor.ethz.ch
The function κ is called the covariance function. We assume that f is as C∞(which is
equivalent to the fact that κ is C∞) 1. We also assume that the law of f is invariant under …