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 partial correlation after removing the effect of the random L-2-norm of the eigenfunctions is asymptotically one.
Marinucci, D., Rossi, M. (2021). On the correlation between nodal and nonzero level sets for random spherical harmonics. ANNALES HENRI POINCARE', 22(1), 275-307 [10.1007/s00023-020-00985-3].
On the correlation between nodal and nonzero level sets for random spherical harmonics
Domenico Marinucci;
2021-01-01
Abstract
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 partial correlation after removing the effect of the random L-2-norm of the eigenfunctions is asymptotically one.File in questo prodotto:
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