Probabilities of randomly centered small balls and quantization in Banach spaces

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70158We investigate the Gaussian small ball probabilities with random centers, find their deterministic a.s.-equivalents and establish a relation to infinite-dimensional high-resolution quantization.Published at http://dx.doi.org/10.1214/009117905000000161 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)Probability60G35, 46F25, 94A15 (Primary)Probabilities of randomly centered small balls and quantization in Banach spacestext