2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/111670We introduce a geometric condition of Bloch type which guarantees that a subset of a bounded convex domain in several complex variables is degenerate with respect to every iterated function system. Furthermore we discuss the relations of such a Bloch type condition with the analogous hyperbolic Lipschitz condition.6 pagesComplex VariablesDynamical Systems32H50; 70K99A note on random holomorphic iteration in convex domainstext