Corpus ID: 119642754

Mean field limit for bias voter model on regular trees

  title={Mean field limit for bias voter model on regular trees},
  author={Xiaofeng Xue},
  journal={arXiv: Probability},
  • 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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