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Corpus ID: 119637743

Entrance laws for annihilating Brownian motions and the continuous-space voter model

@inproceedings{Hammer2018EntranceLF,
title={Entrance laws for annihilating Brownian motions and the continuous-space voter model},
author={M. Hammer and Marcel Ortgiese and F. Vollering},
year={2018}
}

Consider a system of particles moving independently as Brownian motions until two of them meet, when the colliding pair annihilates instantly. The construction of such a system of annihilating Brownian motions (aBMs) is straightforward as long as we start with a finite number of particles, but is more involved for infinitely many particles. In particular, if we let the set of starting points become increasingly dense in the real line it is not obvious whether the resulting systems of aBMs… CONTINUE READING