2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/102040We study translation-invariant determinantal random point fields on the real line. We prove, under quite general conditions, that the smallest nearest spacings between the particles in a large interval have Poisson statistics as the length of the interval goes to infinity.16 pagesProbabilityStatistics of Extreme Spacings in Determinantal Random Point Processestext