@article{EJP942,
author = {Roger Tribe and Oleg Zaboronski},
title = {Pfaffian Formulae for One Dimensional Coalescing and Annihilating Systems},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {16},
year = {2011},
keywords = {annihilating/coalescing Brownian motions, real Ginibre ensemble, random matrices, Pfaffian point processes},
abstract = {The paper considers instantly coalescing, or instantly annihilating, systems of one-dimensional Brownian particles on the real line. Under maximal entrance laws, the distribution of the particles at a fixed time is shown to be Pfaffian point processes closely related to the Pfaffian point process describing one dimensional distribution of real eigenvalues in the real Ginibre ensemble of random matrices. As an application, an exact large time asymptotic for the $n$-point density function for coalescing particles is derived.},
pages = {no. 76, 2080-2103},
issn = {1083-6489},
doi = {10.1214/EJP.v16-942},
url = {http://ejp.ejpecp.org/article/view/942}}