2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/123799We give sufficient conditions for tightness in the space C([0,1]) for sequences of probability measures which enjoy a suitable decoupling between zero level set and excursions. Applications of our results are given in the context of (homogeneous, periodic and disordered) random walk models for polymers and interfaces.Probability60F17; 60K35; 82B41text