A quantitative central limit theorem for the excursion area of random spherical harmonics over subdomains of S2
A quantitative central limit theorem for the excursion area of random spherical harmonics over subdomains of S2
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 harmonics). In this paper, we extend those results to proper subsets of the sphere $\mathbb{S}^2$, i.e., spherical caps, focussing in particular on the excursion …