2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70591We study a model of directed polymers with an exponentially recurrent Markov chain and an indefinitely divisible random environment. We prove that the normalized partition function converges exponentially fast towards zero at all temperatures.16 pages, submitted to Journal of Theoretical ProbabilityProbabilityStrong disorder for a certain class of directed polymers in a random environmenttext