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math.PR2018★ 18 cited
Nodal Lengths in Shrinking Domains for Random Eigenfunctions on
Anna Paola Todino
We investigate the asymptotic behavior of the nodal lines for random spherical harmonics restricted to shrinking domains, in the 2-dimensional case: i.e., the length of the zero se…
math.PR2018★ 11 cited
A Quantitative Central Limit Theorem for the Excursion Area of Random Spherical Harmonics over Subdomains of
Anna Paola Todino
In recent years, considerable interest has been drawn by the analysis of geometric functionals for the excursion sets of random eigenfunctions on the unit sphere (spherical harmoni…