Small Fluctuations for time-dependent spherical random fields

Carfagnini Marco, University of California San Diego
Todino Anna Paola, Università del Piemonte Orientale

The aim of this talk is to establish Chung’s law of the iterated logarithm for isotropic Gaussian sphere-cross-time random fields based on the high-frequency behaviour of the angular power spectrum. Further, as an application of this result, we establish a small ball principle for these fields. This is a joint work with Anna Paola Todino.

Area: IS8 - Random Fields (Maurizia Rossi)

Keywords: Sphere-cross-time random fields, small ball probability, Chung’s law of the iterated loga

Il paper è coperto da copyright.