2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/228103We prove that the hydrodynamic limit of a zero-range process evolving in graphs approximating the Sierpinski gasket is given by a nonlinear heat equation. We also prove existence and uniqueness of the hydrodynamic equation by considering a finite-difference scheme.24 pages, 1 figureMathematical PhysicsProbability60K35, 28A80, 35K55Hydrodynamic limit for a zero-range process in the Sierpinski gaskettext