A quantitative central limit theorem for the Euler-Poincaré characteristic of random spherical eigenfunctions

DOI10.1214/17-AOP1245zbMath1428.60067arXiv1603.09588OpenAlexW2964115494MaRDI QIDQ1621439

Valentina Cammarota, Domenico Marinucci

Publication date: 8 November 2018

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.09588

zbMATH Keywords

spherical harmonicsEuler-Poincaré characteristicGaussian kinematic formulaBerry'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 (30)

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