2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/161605We prove that a sequence of semi-discrete approximations converges to a multiplicative functional for reflected Brownian motion, which intuitively represents the Lyapunov exponent for the corresponding stochastic flow. The method of proof is based on a study of the deterministic version of the problem and the excursion theory.Probability60J65text