2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/125157We study the Circular and Jacobi $β$-Ensembles and prove Gaussian fluctuations for the number of points in one or more intervals in the macroscopic scaling limit.ProbabilityMathematical Physics15A52Gaussian fluctuations for βEnsemblestext