A variational coupling for a totally asymmetric exclusion process with long jumps but no passing
Probability
2007-05-23 v1
Abstract
We 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.
Cite
@article{arxiv.math/9906192,
title = {A variational coupling for a totally asymmetric exclusion process with long jumps but no passing},
author = {Timo Seppalainen},
journal= {arXiv preprint arXiv:math/9906192},
year = {2007}
}
Comments
Proceedings of the workshop on hydrodynamic limits, The Fields Institute, Toronto (October 1998)