Vladimir Belitsky, Pablo A. Ferrari, Mikhail V. Menshikov, Serguei Yu. Popov
Published 2000-02-07Version 1
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.
Comments: latex, 32 pages. Available online at: http://projecteuclid.org/euclid.bj/1080572342
Journal: Bernoulli Volume 7, Number 1 (2001), 119-144
Non-equilibrium scaling limit for a tagged particle in the simple exclusion process with long jumps
Hydrodynamic limit of simple exclusion processes in symmetric random environments via duality and homogenization
Spectral gap and cutoff of the simple exclusion process with IID conductances
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