Small fluctuations for time-dependent spherical random fields
Probability
2024-04-11 v1
Abstract
We consider time-dependent space isotropic and time stationary spherical Gaussian random fields. We establish Chung's law of the iterated logarithm and solve the small probabilities problem. Our results depend on the high-frequency behaviour of the angular power spectrum: the speed of decay of the small ball probability is faster as either the memory parameter or the space-parameter decreases.
Cite
@article{arxiv.2404.06612,
title = {Small fluctuations for time-dependent spherical random fields},
author = {Marco Carfagnini and Anna Paola Todino},
journal= {arXiv preprint arXiv:2404.06612},
year = {2024}
}