Electronic Communications in Probability

One dimensional annihilating and coalescing particle systems as extended Pfaffian point processes

Roger Tribe, Jonathan Yip, and Oleg Zaboronski

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We prove that the multi-time particle distributions for annihilating or coalescing Brownian motions, under the maximal entrance law on the real line, are extended Pfaffian point processes. <strong>There is an erratum in</strong> <a href="http://dx.doi.org/10.1214/ECP.v20-4302"><strong>ECP volume 20 paper 46</strong></a>.<br /><br />

Article information

Electron. Commun. Probab., Volume 17 (2012), paper no. 40, 7 pp.

Accepted: 6 September 2012
First available in Project Euclid: 7 June 2016

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 60K35: Interacting random processes; statistical mechanics type models; percolation theory [See also 82B43, 82C43]
Secondary: 60G55: Point processes

Extended Pfaffian point process annihilating Brownian motions coalescing Brownian motions

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Tribe, Roger; Yip, Jonathan; Zaboronski, Oleg. One dimensional annihilating and coalescing particle systems as extended Pfaffian point processes. Electron. Commun. Probab. 17 (2012), paper no. 40, 7 pp. doi:10.1214/ECP.v17-2133. https://projecteuclid.org/euclid.ecp/1465263173

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