One dimensional annihilating particle systems as extended Pfaffian point processes
Probability
2015-06-02 v2 Statistical Mechanics
Abstract
We prove that the multi-time particle distributions for annihilating Brownian motions, under the maximal entrance law on the real line, are extended Pfaffian point processes
Keywords
Cite
@article{arxiv.1207.0929,
title = {One dimensional annihilating particle systems as extended Pfaffian point processes},
author = {Roger Tribe and Siu Kwan Yip and Oleg Zaboronski},
journal= {arXiv preprint arXiv:1207.0929},
year = {2015}
}
Comments
An earlier version of this paper falsely stated that the multi-time distributions of coalescing Brownian motions (CBM's) were also an extended Pfaffian point process. This erroneous claim has been removed from the current version. We do not have a simple description of the multi-time distributions for CBMs