Corpus ID: 119642754

# Mean field limit for bias voter model on regular trees

@article{Xue2015MeanFL,
title={Mean field limit for bias voter model on regular trees},
author={Xiaofeng Xue},
journal={arXiv: Probability},
year={2015}
}
• Xiaofeng Xue
• Published 1 December 2015
• Mathematics
• arXiv: Probability
In this paper we are concerned with bias voter models on trees and lattices, where the vertex in state 0 reconsiders its opinion at a larger rate than that of the vertex in state 1. For the process on tree with product measure as initial distribution, we obtain a mean field limit at each moment of the probability that a given vertex is in state 1 as the degree of the tree grows to infinity. Furthermore, for our model on trees and lattices, we show that the process converges weakly to the… Expand

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