2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59414We prove a factorization-concentration result for characters of symmetric groups. This is then applied to the asymptotic behaviour of the decomposition of the tensor representations. There are connections with the Pastur-Marcenko distribution of random matrix theory, and freely infinitely divisible distributions.12 pages, 2 figuresRepresentation TheoryProbabilitytext