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Zbl 0974.60093
Handjani, Shirin J.
The complete convergence theorem for coexistent threshold voter models. (English)
[J] Ann. Probab. 27, No.1, 226-245 (1999). ISSN 0091-1798

The threshold voter model was introduced by {\it J. T. Cox} and {\it R. Durrett} [in: Random walks, Brownian motion, and interacting particle systems. Prog. Probab. 28, 189-201 (1991)] which conjectured that it converges to a stationary distribution. In the present paper one proves a generalization of this conjecture.
[Anton Ştefănescu (Bucureşti)]

MSC 2000:: *60K35 Interacting random processes
60J65 Brownian motion

Keywords: Markov process; invariant measure; limiting distribution

Citations: Zbl 0825.60053

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