The defect variance of random spherical harmonics
From MaRDI portal
Publication:3173023
DOI10.1088/1751-8113/44/35/355206zbMath1232.60039arXiv1103.0232OpenAlexW2166063969MaRDI QIDQ3173023
Igor Wigman, Domenico Marinucci
Publication date: 10 October 2011
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1103.0232
Random fields (60G60) Gaussian processes (60G15) Geometric probability and stochastic geometry (60D05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Spherical harmonics (33C55)
Related Items (20)
Fluctuations of the number of excursion sets of planar Gaussian fields ⋮ On the correlation between critical points and critical values for random spherical harmonics ⋮ Random Lipschitz–Killing curvatures: Reduction Principles, Integration by Parts and Wiener chaos ⋮ Some recent developments on the geometry of random spherical eigenfunctions ⋮ Convergence in total variation for nonlinear functionals of random hyperspherical harmonics ⋮ Metric properties in the mean of polynomials on compact isotropy irreducible homogeneous spaces ⋮ On nonlinear functionals of random spherical eigenfunctions ⋮ On the correlation between nodal and nonzero level sets for random spherical harmonics ⋮ A quantitative central limit theorem for the excursion area of random spherical harmonics over subdomains of S2 ⋮ On the limiting behaviour of needlets polyspectra ⋮ A reduction principle for the critical values of random spherical harmonics ⋮ A note on the reduction principle for the nodal length of planar random waves ⋮ DomenicoMarinucci and GiovanniPeccati, Random Fields on the Sphere: Representation, Limit Theorems and Cosmological Applications London Mathematical Society Lecture Notes Series 389. Published by the Cambridge University Press, Cambridge, 2011. Number of pages: 341. Price £40.00, ISBN 978‐0‐521‐17561‐6 ⋮ Monochromatic Random Waves for General Riemannian Manifolds ⋮ Nodal area distribution for arithmetic random waves ⋮ Limiting behavior for the excursion area of band-limited spherical random fields ⋮ Diophantine Gaussian excursions and random walks ⋮ The defect of random hyperspherical harmonics ⋮ The defect of toral Laplace eigenfunctions and arithmetic random waves ⋮ On the correlation of critical points and angular trispectrum for random spherical harmonics
This page was built for publication: The defect variance of random spherical harmonics