2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119874We prove a multidimensional extension of Selberg's central limit theorem for the logarithm of the Riemann zeta function on the critical line. The limit is a totally disordered process, whose coordinates are all independent and Gaussian.ProbabilityNumber Theory60F05, 60G15, 11M06text