2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/125316We prove a non-equilibrium functional central limit theorem for the position of a tagged particle in mean-zero one-dimensional zero-range process. The asymptotic behavior of the tagged particle is described by a stochastic differential equation governed by the solution of the hydrodynamic equation.20 pagesProbabilityMathematical Physics60K35text