2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61251We describe one interpretation of the q-Catalan numbers in frameworks of random matrix theory and weighted partitions of the set of integers.7 pages, LaTeXCombinatoricsProbability15A52 (Primary) 05A18 (Secondary)Products of random matrices and q-Catalan numberstext