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arXiv · 2208.04208

On the universality of the Nazarov-Sodin constant

Andrea Sartori
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Abstract

We study the number of connected components of non-Gaussian random spherical harmonics on the two dimensional sphere $\mathbb{S}^2$. We prove that the expectation of the nodal domains count is independent of the distribution of the coefficients provided it has a finite second moment.

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Andrea Sartori. 2022-08-08. On the universality of the Nazarov-Sodin constant. https://arxiv.org/abs/2208.04208

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