2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76198Let S_1(n),...,S_p(n) be independent symmetric random walks in Z^d. We establish moderate deviations and law of the iterated logarithm for the intersection of the ranges #{S_1[0,n]\cap... \cap S_p[0,n]} in the case d=2, p\ge 2 and the case d=3, p=2.Published at http://dx.doi.org/10.1214/009117905000000035 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)Probability60D05, 60F10, 60F15, 60G50 (Primary)text