Abstract
In this paper we study the threshold voter models on homogeneous trees. We give the definition of the ‘critical density’ of the models and obtain an estimation of it. Furthermore, we study the exponential rate at which the process converges to an absorbed state δ 0 in the subcritical case. At the end of the paper, we propose two conjectures about the phase transition phenomenons of our models.
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Xue, X. Critical Density Points for Threshold Voter Models on Homogeneous Trees. J Stat Phys 146, 423–433 (2012). https://doi.org/10.1007/s10955-011-0405-6
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DOI: https://doi.org/10.1007/s10955-011-0405-6