How Vertex reinforced jump process arises naturally
Probability
2015-11-06 v2
Abstract
We prove that the only nearest neighbor jump process with local dependence on the occupation times satisfying the partial exchangeability property is the vertex reinforced jump process, under some technical conditions. This result gives a counterpart to the characterization of edge reinforced random walk given by Rolles.
Keywords
Cite
@article{arxiv.1311.2486,
title = {How Vertex reinforced jump process arises naturally},
author = {Xiaolin Zeng},
journal= {arXiv preprint arXiv:1311.2486},
year = {2015}
}
Comments
14 pages, 3 figures, version 2