## The Annals of Probability

### Invariant Measures for the Zero Range Process

Enrique Daniel Andjel

#### 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.

#### Article information

Source
Ann. Probab., Volume 10, Number 3 (1982), 525-547.

Dates
First available in Project Euclid: 19 April 2007

https://projecteuclid.org/euclid.aop/1176993765

Digital Object Identifier
doi:10.1214/aop/1176993765

Mathematical Reviews number (MathSciNet)
MR659526

Zentralblatt MATH identifier
0492.60096

JSTOR