2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78736We prove a weak law of large numbers for a tagged particle in a totally asymmetric exclusion process on the one-dimensional lattice. The particles are allowed to take long jumps but not pass each other. The object of the paper is to illustrate a special technique for proving such theorems. The method uses a coupling that mimics the Hopf-Lax formula from the theory of viscosity solutions of Hamilton-Jacobi equations.Proceedings of the workshop on hydrodynamic limits, The Fields Institute, Toronto (October 1998)Probability60K35text