2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/169509We show that the only proper-holomorphic self-maps of bounded domains in C^k whose dynamics escape to a strictly pseudoconvex point of the boundary are automorphisms of the euclidean ball. This is a Wong-Rosay type result for a sequence of maps whose degrees are a priori unbounded.Complex Variables32H35, 32H50text