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A Mixture of the Exclusion Process and the Voter Model | | Vladimir Belitsky
; Pablo A. Ferrari
; Mikhail V. Menshikov
; Serguei Yu. Popov
; | | Date: |
7 Feb 2000 | | Subject: | Probability; Mathematical Physics MSC-class: 60K35, 82C | math.PR math-ph math.MP | | Abstract: | 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. | | Source: | arXiv, math.PR/0002051 | | Services: | Forum | Review | PDF | Favorites | |
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