2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/27436The paper deals with exponential functionals of the linear Brownian motion which arise in different contexts such as continuous time finance models and one-dimensional disordered models. We study some properties of these exponential functionals in relation with the problem of a particle coupled to a heat bath in a Wiener potential. Explicit expressions for the distribution of the free energy are presented.18 pagesCondensed Mattertext