Translator Disclaimer
2011 Pfaffian Formulae for One Dimensional Coalescing and Annihilating Systems
Roger Tribe, Oleg Zaboronski
Author Affiliations +
Electron. J. Probab. 16: 2080-2103 (2011). DOI: 10.1214/EJP.v16-942

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.

Citation

Download Citation

Roger Tribe. Oleg Zaboronski. "Pfaffian Formulae for One Dimensional Coalescing and Annihilating Systems." Electron. J. Probab. 16 2080 - 2103, 2011. https://doi.org/10.1214/EJP.v16-942

Information

Accepted: 4 November 2011; Published: 2011
First available in Project Euclid: 1 June 2016

zbMATH: 1244.60097
MathSciNet: MR2851057
Digital Object Identifier: 10.1214/EJP.v16-942

Subjects:
Primary: 60B20
Secondary: 60K35, 82C22

JOURNAL ARTICLE
24 PAGES


SHARE
Vol.16 • 2011
Back to Top