One dimensional annihilating particle systems as extended Pfaffian point processes

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

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