Some recent developments on the geometry of random spherical eigenfunctions

DOI10.4171/8ecm/15zbMath1523.60094arXiv2107.09430OpenAlexW3186062804MaRDI QIDQ6064564

Publication date: 10 November 2023

Published in: European Congress of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.09430

zbMATH Keywords

spherical harmonics Lipschitz-Killing curvatures nodal lines kinematic formulae random eigenfunctions Wiener-Itô expansions

Mathematics Subject Classification ID

Random fields (60G60) Central limit and other weak theorems (60F05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Integral geometry (53C65)

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