A Mixture of the Exclusion Process and the Voter Model

Details A Mixture of the Exclusion Process and the Voter Model A Mixture of the Exclusion Process and the Voter Model

2000-02-07

arxiv.org/abs/math/0002051v1

Bernoulli Volume 7, Number 1 (2001), 119-144

Mathematics

Probability

latex, 32 pages. Available online at: http://projecteuclid.org/euclid.bj/1080572342

Scientific paper

We consider a one-dimensional nearest-neighbor 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.

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