A0827
Title: Spherical Poisson waves
Authors: Claudio Durastanti - Sapienza University of Rome (Italy) [presenting]
Domenico Marinucci - University of Rome Tor Vergata (Italy)
Anna Paola Todino - Sapienza University of Rome (Italy)
Solesne Bourguin - Boston University (United States)
Abstract: A model of Poisson random waves is discussed, defined in the sphere, to study Quantitative Central Limit Theorems when both the rate of the Poisson process (that is, the expected number of the observations sampled at a fixed time) and the energy (i.e., frequency) of the waves (eigenfunctions) diverge to infinity. Finite-dimensional distributions, harmonic coefficients and convergence in law in functional spaces are considered, and the interplay is investigated carefully between the rates of divergence of eigenvalues and Poisson governing measures.
