Abstract
Interest in voter models began at about the same time that people started working on the contact process — the mid 1970’s. As was the case for the contact process, these models provided a fertile ground for the use of some of the basic tools in the area of interacting particle systems. In fact, the main reason for their introduction was not so much a desire to model political systems, as the name might suggest, but rather the fact that voter models are exactly the class of spin systems to which duality can be applied most completely and successfully. After applying duality, one was often led to problems involving sustems of random walks, and that provided a close link to one of the most active areas of research in probability of the previous two decades.
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Liggett, T.M. (1999). Voter Models. In: Stochastic Interacting Systems: Contact, Voter and Exclusion Processes. Grundlehren der mathematischen Wissenschaften, vol 324. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03990-8_3
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DOI: https://doi.org/10.1007/978-3-662-03990-8_3
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