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Clustering and coexistence in threshold voter models. (English) Zbl 0869.60086
Boccara, Nino (ed.) et al., Cellular automata and cooperative systems. Proceedings of the NATO Advanced Study Institute held in Les Houches, France, June 22-July 2, 1992. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 396, 403-410 (1993).
From the introduction: The purpose of this note is to discuss recent results on the class of threshold voter models which was introduced by J. T. Cox and R. Durrett [in: Random walks, Brownian motion, and interacting particle systems. Prog. Probab. 28, 189-201 (1991)]. These results are proved in papers of E. D. Andjel, the author and T. Mountford [Stochastic Processes Appl. 42, No. 1, 73-90 (1992; Zbl 0752.60086)] and the author [Ann. Probab. 22, No. 2, 764-802 (1994; Zbl 0814.60094)].
For the entire collection see [Zbl 0811.00025].
MSC:
60K35 Interacting random processes; statistical mechanics type models; percolation theory
Keywords:
voter models
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