Abstract
We study the number of connected components of non-Gaussian random spherical harmonics on the two dimensional sphere . 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.
Funding Statement
This work was supported by the ISF Grant 1903/18 and the BSF Start up Grant no. 20183.
Acknowledgments
We would like to thank Mikhail Sodin for suggesting the question explored in this script and for many useful discussions. We also thank the anonymous referee for his thorough work and their comment which helped improving the presentation.
Citation
Andrea Sartori. "On the universality of the Nazarov-Sodin constant." Electron. J. Probab. 29 1 - 21, 2024. https://doi.org/10.1214/23-EJP1059
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