Fluid limit of threshold voter models on tori
Probability
2015-06-19 v1
Abstract
In this paper, we are concerned with threshold voter models on tori. Assuming that the initial distribution of the process is product measure with density p, we obtain a fluid limit of the proportion of vertices in state 1 as the dimension of the torus grows to infinity. The fluid limit performs a phase transition phenomenon from p < 1/2 to p > 1/2.
Keywords
Cite
@article{arxiv.1405.2209,
title = {Fluid limit of threshold voter models on tori},
author = {Xiaofeng Xue},
journal= {arXiv preprint arXiv:1405.2209},
year = {2015}
}
Comments
18 pages