The asymptotic equivalence of the sample trispectrum and the nodal length for random spherical harmonics
From MaRDI portal
Publication:2179241
DOI10.1214/19-AIHP964zbMath1465.60044arXiv1705.05747MaRDI QIDQ2179241
Igor Wigman, Maurizia Rossi, Domenico Marinucci
Publication date: 12 May 2020
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.05747
spherical harmonicsBerry's cancellationnodal lengthquantitative central limit theoremsample trispectrum
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)
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