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

  title={Hitting Probability of a Distant Point for the Voter Model Started with a Single One},
  author={Mathieu Merle},
  • 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

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