Abstract
On a countable set of sites $S$, the zero range process is constructed when the stochastic matrix $p(x, y)$ determining the one particle motion satisfies a mild assumption. The set of invariant measures for this process is described in the following two cases: a) The system is attractive and $p(x, y)$ is recurrent. b) The system is attractive, $p(x, y)$ corresponds to a simple random walk on the integers and the rate at which particles leave any site is bounded.
Citation
Enrique Daniel Andjel. "Invariant Measures for the Zero Range Process." Ann. Probab. 10 (3) 525 - 547, August, 1982. https://doi.org/10.1214/aop/1176993765
Information