Abstract
As in the Wright–Fisher and Moran models, the two configurations in which all the individuals have the same type or share the same opinion are absorbing states for the voter model. However, at least starting with infinitely many individuals of each type, the time to fixation to one of these absorbing states is almost surely infinite, which allows for the possibility of interesting transient or long-term behaviors. In fact, even though it does not depend on any parameter, the voter model exhibits very rich dynamics with various behaviors depending on the spatial dimension. This contrasts with the contact process that has behavior similar in any dimension.
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Lanchier, N. (2017). The voter model. In: Stochastic Modeling. Universitext. Springer, Cham. https://doi.org/10.1007/978-3-319-50038-6_16
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DOI: https://doi.org/10.1007/978-3-319-50038-6_16
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