2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/139661We consider solutions of a scalar reaction-diffusion equation of the ignition type with a random, stationary and ergodic reaction rate. We show that solutions of the Cauchy problem spread with a deterministic rate in the long time limit. We also establish existence of generalized random traveling waves and of transition fronts in general heterogeneous media.27 pagesAnalysis of PDEsProbabilityTraveling waves in a one-dimensional random mediumtext