Abstract
We study the majority vote process on a two-dimensional torus in which every voter adopts the minority of opinion with small probability δ. We identify the exponent that the mean of consensus time is asymptotically (1/δ) with that exponent as δ goes to 0. The proof is by a formula for mean exit time and by the metastable theory of Markov chains developed in the study of the stochastic Ising model.
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Chen, D. The consensus times of the majority vote process on a torus. J Stat Phys 86, 779–802 (1997). https://doi.org/10.1007/BF02199120
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DOI: https://doi.org/10.1007/BF02199120