Spherical Poisson waves

DOI10.1214/23-ejp1071arXiv2203.04721MaRDI QIDQ6186441

Solesne Bourguin, Claudio Durastanti, Anna Paola Todino, Domenico Marinucci

Publication date: 2 February 2024

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.04721

zbMATH Keywords

Poisson random fieldsquantitative central limit theoremsrandom spherical eigenfunctions

Mathematics Subject Classification ID

Random fields (60G60) Central limit and other weak theorems (60F05) Convergence of probability measures (60B10)

Cites Work

• Unnamed Item
• Unnamed Item
• Non-universality of nodal length distribution for arithmetic random waves
• On the distribution of the critical values of random spherical harmonics
• Fluctuations of the nodal length of random spherical harmonics
• Multi-dimensional Gaussian fluctuations on the Poisson space
• Normal approximation on Poisson spaces: Mehler's formula, second order Poincaré inequalities and stabilization
• Mean-square continuity on homogeneous spaces of compact groups
• Asymptotics for spherical needlets
• A quantitative central limit theorem for the Euler-Poincaré characteristic of random spherical eigenfunctions
• The fourth moment theorem on the Poisson space
• Fluctuations of the total number of critical points of random spherical harmonics
• Normal approximation for stabilizing functionals
• Fourth moment theorems on the Poisson space in any dimension
• Nodal length fluctuations for arithmetic random waves
• A reduction principle for the critical values of random spherical harmonics
• Limiting behavior of large correlated Wishart matrices with chaotic entries
• Approximation of Hilbert-valued gaussians on Dirichlet structures
• The asymptotic equivalence of the sample trispectrum and the nodal length for random spherical harmonics
• Boundary effect on the nodal length for arithmetic random waves, and spectral semi-correlations
• Local universality for zeros and critical points of monochromatic random waves
• Nodal lengths in shrinking domains for random eigenfunctions on \(S^2\)
• A note on the reduction principle for the nodal length of planar random waves
• Normal approximations for wavelet coefficients on spherical Poisson fields
• Nodal intersections for arithmetic random waves against a surface
• Nodal statistics of planar random waves
• On nonlinear functionals of random spherical eigenfunctions
• On the volume of nodal sets for eigenfunctions of the Laplacian on the torus
• New Berry-Esseen bounds for non-linear functionals of Poisson random measures
• Small scale CLTs for the nodal length of monochromatic waves
• On the area of excursion sets of spherical Gaussian eigenfunctions
• Normal Approximations with Malliavin Calculus
• Random Fields on the Sphere
• Topologies of Nodal Sets of Random Band‐Limited Functions
• Localized Tight Frames on Spheres
• On the number of nodal domains of random spherical harmonics
• Regular and irregular semiclassical wavefunctions
• Statistics of nodal lines and points in chaotic quantum billiards: perimeter corrections, fluctuations, curvature
• Nodal area distribution for arithmetic random waves
• On 3-dimensional Berry's model
• High-dimensional regimes of non-stationary Gaussian correlated Wishart matrices

This page was built for publication: Spherical Poisson waves