Abstract
Threshold voter models are certain nonlinear voter models for which the constant configurations η ≡ 0 and η ≡ 1 are traps. We describe recent results which give sufficient conditions for the existence and for the nonexistence of nontrivial invariant measures.
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References
Andjel, E.D., Liggett, T.M. and Mountford, T.: 1992, ‘Clustering in one dimensional threshold voter models’, Stoch. Proc. Appl., 42, 73.
Cox, J.T. and Durrett, R.: 1991 ‘Nonlinear voter models’, Festschrift in Honor of Frank Spitzer, Birkhäuser, 189.
Liggett, T.M.: 1985, Interacting Particle Systems, Springer.
Liggett, T.M.: 1992, ‘Coexistence in threshold voter models’, to appear
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© 1993 Springer Science+Business Media Dordrecht
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Liggett, T.M. (1993). Clustering and Coexistence in Threshold Voter Models. In: Boccara, N., Goles, E., Martinez, S., Picco, P. (eds) Cellular Automata and Cooperative Systems. NATO ASI Series, vol 396. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1691-6_32
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DOI: https://doi.org/10.1007/978-94-011-1691-6_32
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4740-1
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