Invariant Measures for the Zero Range Process
Andjel, Enrique Daniel
Ann. Probab., Tome 10 (1982) no. 4, p. 525-547 / Harvested from Project Euclid
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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.
Publié le : 1982-08-14
Classification:  Infinite particle systems,  invariant measures,  coupling,  60K35 
@article{1176993765,
     author = {Andjel, Enrique Daniel},
     title = {Invariant Measures for the Zero Range Process},
     journal = {Ann. Probab.},
     volume = {10},
     number = {4},
     year = {1982},
     pages = { 525-547},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176993765}
}

Andjel, Enrique Daniel. Invariant Measures for the Zero Range Process. Ann. Probab., Tome 10 (1982) no. 4, pp.  525-547. http://gdmltest.u-ga.fr/item/1176993765/