Gaussian random measures generated by Berry's nodal sets
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Publication:2302691
DOI10.1007/s10955-019-02477-zzbMath1447.60080arXiv1909.05549OpenAlexW3098221303WikidataQ125933935 ScholiaQ125933935MaRDI QIDQ2302691
Anna Vidotto, Giovanni Peccati
Publication date: 26 February 2020
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.05549
Random fields (60G60) Central limit and other weak theorems (60F05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)
Related Items (13)
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 ⋮ Fluctuations of nodal sets on the 3-torus and general cancellation phenomena ⋮ Lipschitz-Killing curvatures for arithmetic random waves ⋮ Functional convergence of Berry's nodal lengths: approximate tightness and total disorder ⋮ Asymptotic covariances for functionals of weakly stationary random fields ⋮ Spectral central limit theorem for additive functionals of isotropic and stationary Gaussian fields ⋮ Matrix Hermite polynomials, random determinants and the geometry of Gaussian fields ⋮ Small scale CLTs for the nodal length of monochromatic waves ⋮ Unnamed Item ⋮ Malliavin-Stein method: a survey of some recent developments ⋮ Non-universal fluctuations of the empirical measure for isotropic stationary fields on \(\mathbb{S}^2\times \mathbb{R} \) ⋮ A note on the reduction principle for the nodal length of planar random waves
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