Extremal Reversible Measures for the Exclusion Process
Probability
2007-05-23 v1
Abstract
We give a characterization of the invariant measures for the exclusion process on the integers with certain reversible transition kernels. Some examples include all nearest-neighbor kernels with asymptotic mean zero. One tool used is a necessary and sufficient condition for reversible measures to be extremal in the set of all invariant measures which is an interesting result in its own right.
Cite
@article{arxiv.math/0309235,
title = {Extremal Reversible Measures for the Exclusion Process},
author = {Paul Jung},
journal= {arXiv preprint arXiv:math/0309235},
year = {2007}
}