Spherical Poisson Waves
Probability
2023-04-20 v2
Abstract
We introduce a model of Poisson random waves in and we study Quantitative Central Limit Theorems when both the rate of the Poisson process and the energy (i.e., frequency) of the waves (eigenfunctions) diverge to infinity. We consider finite-dimensional distributions, harmonic coefficients and convergence in law in functional spaces, and we investigate carefully the interplay between the rates of divergence of eigenvalues and Poisson governing measures.
Cite
@article{arxiv.2203.04721,
title = {Spherical Poisson Waves},
author = {Solesne Bourguin and Claudio Durastanti and Domenico Marinucci and Anna Paola Todino},
journal= {arXiv preprint arXiv:2203.04721},
year = {2023}
}