Hitting Probability of a Distant Point for the Voter Model Started with a Single One

@inproceedings{Merle2006HittingPO,
title={Hitting Probability of a Distant Point for the Voter Model Started with a Single One},
author={Mathieu Merle},
year={2006}
}

Mathieu Merle

Published 2006

The goal of this work is to find the asymptotics of the hitting probability of a distant point for the voter model on the integer lattice started from a single 1 at the origin. In dimensions d = 2 or 3, we obtain the precise asymptotic behaviour of this probability. We use the scaling limit of the voter model started from a single 1 at the origin in terms of super-Brownian motion under its excursion measure. This invariance principle was stated by Bramson, Cox and Le Gall, as a consequence of a… CONTINUE READING