Ergodicity and Gaussianity for spherical random fields

DOI10.1063/1.3329423zbMath1310.37022arXiv0911.2502OpenAlexW1997216305MaRDI QIDQ5249143

Giovanni Peccati, Domenico Marinucci

Publication date: 29 April 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.2502

Mathematics Subject Classification ID

Gaussian processes (60G15) Relativistic cosmology (83F05) Generation, random and stochastic difference and differential equations (37H10) Radiative transfer in astronomy and astrophysics (85A25)

Related Items (9)

Fisher information and the fourth moment theorem ⋮ Random Lipschitz–Killing curvatures: Reduction Principles, Integration by Parts and Wiener chaos ⋮ Models of space-time random fields on the sphere ⋮ Needlet-Whittle estimates on the unit sphere ⋮ Approximate normality of high-energy hyperspherical eigenfunctions ⋮ Gaussian semiparametric estimates on the unit sphere ⋮ Coordinates changed random fields on the sphere ⋮ Aliasing effects for random fields over spheres of arbitrary dimension ⋮ On the area of excursion sets of spherical Gaussian eigenfunctions

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