Random nodal lengths and Wiener chaos
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Publication:3295940
DOI10.1090/conm/739/14898zbMath1458.60058arXiv1803.09716OpenAlexW2990182808MaRDI QIDQ3295940
Publication date: 3 July 2020
Published in: Probabilistic Methods in Geometry, Topology and Spectral Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.09716
Random fields (60G60) Geometric probability and stochastic geometry (60D05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Convergence of probability measures (60B10)
Related Items (12)
Random Lipschitz–Killing curvatures: Reduction Principles, Integration by Parts and Wiener chaos ⋮ Some recent developments on the geometry of random spherical eigenfunctions ⋮ No smooth phase transition for the nodal length of band-limited spherical random fields ⋮ Gaussian complex zeroes are not always normal: limit theorems on the disc ⋮ Nodal lengths in shrinking domains for random eigenfunctions on \(S^2\) ⋮ On the absolute continuity of random nodal volumes ⋮ On the correlation between nodal and nonzero level sets for random spherical harmonics ⋮ Malliavin-Stein method: a survey of some recent developments ⋮ Non-universal fluctuations of the empirical measure for isotropic stationary fields on \(\mathbb{S}^2\times \mathbb{R} \) ⋮ Monochromatic Random Waves for General Riemannian Manifolds ⋮ Roots of Kostlan polynomials: moments, strong law of large numbers and central limit theorem ⋮ Asymptotic behaviour of level sets of needlet random fields
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