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August, 1982 Invariant Measures for the Zero Range Process
Enrique Daniel Andjel
Ann. Probab. 10(3): 525-547 (August, 1982). DOI: 10.1214/aop/1176993765


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.


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Enrique Daniel Andjel. "Invariant Measures for the Zero Range Process." Ann. Probab. 10 (3) 525 - 547, August, 1982.


Published: August, 1982
First available in Project Euclid: 19 April 2007

zbMATH: 0492.60096
MathSciNet: MR659526
Digital Object Identifier: 10.1214/aop/1176993765

Primary: 60K35

Keywords: coupling , infinite particle systems , Invariant measures

Rights: Copyright © 1982 Institute of Mathematical Statistics

Vol.10 • No. 3 • August, 1982
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