A reduction principle for the critical values of random spherical harmonics

DOI10.1016/j.spa.2019.07.006zbMath1457.60071arXiv1806.00245OpenAlexW2963817384WikidataQ127494384 ScholiaQ127494384MaRDI QIDQ1986032

Valentina Cammarota, Domenico Marinucci

Publication date: 7 April 2020

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.00245

zbMATH Keywords

spherical harmonicscritical pointsreduction principleBerry's cancellation phenomenonquantitative central limit theoremWiener-chaos expansion

Mathematics Subject Classification ID

Random fields (60G60) Inference from stochastic processes and spectral analysis (62M15) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Integral geometry (53C65) Spherical harmonics (33C55)

Related Items (8)

On the correlation between critical points and critical values for random spherical harmonics ⋮ Lipschitz-Killing curvatures for arithmetic random waves ⋮ Some recent developments on the geometry of random spherical eigenfunctions ⋮ Spherical Poisson waves ⋮ On the correlation between nodal and nonzero level sets for random spherical harmonics ⋮ A note on the reduction principle for the nodal length of planar random waves ⋮ Gaussian random measures generated by Berry's nodal sets ⋮ On the correlation of critical points and angular trispectrum for random spherical harmonics

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