Stability on {0,1,2,...}^S: birth-death chains and particle systems
Probability
2011-04-27 v2
Abstract
A strong negative dependence property for measures on {0,1}^n - stability - was recently developed in [5], by considering the zero set of the probability generating function. We extend this property to the more general setting of reaction-diffusion processes and collections of independent Markov chains. In one dimension the generalized stability property is now independently interesting, and we characterize the birth-death chains preserving it.
Cite
@article{arxiv.1009.4899,
title = {Stability on {0,1,2,...}^S: birth-death chains and particle systems},
author = {Thomas M. Liggett and Alexander Vandenberg-Rodes},
journal= {arXiv preprint arXiv:1009.4899},
year = {2011}
}
Comments
18 pages, with corrected/simplified argument for Theorem 1.1