- Volume 7, Number 1 (2001), 119-144.
A mixture of the exclusion process and the voter model
We consider a one-dimensional nearest-neighbour interacting particle system, which is a mixture of the simple exclusion process and the voter model. The state space is taken to be the countable set of the configurations that have a finite number of particles to the right of the origin and a finite number of empty sites to the left of it. We obtain criteria for the ergodicity and some other properties of this system using the method of Lyapunov functions.
Bernoulli, Volume 7, Number 1 (2001), 119-144.
First available in Project Euclid: 29 March 2004
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Belitsky, Vladimir; Ferrari, Pablo A.; Menshikov\2, Mikhail V.; Popov, Serguei YU. A mixture of the exclusion process and the voter model. Bernoulli 7 (2001), no. 1, 119--144. https://projecteuclid.org/euclid.bj/1080572342