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Examples of interacting particle systems on Z as Pfaffian point processes : coalescing-branching random walks and annihilating random walks with immigration
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Garrod, Barnaby and Zaboronski, Oleg V. (2020) Examples of interacting particle systems on Z as Pfaffian point processes : coalescing-branching random walks and annihilating random walks with immigration. Annales Henri Poincare, 21 . pp. 885-908. doi:10.1007/s00023-019-00877-1 ISSN 1424-0637.
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Official URL: https://doi.org/10.1007/s00023-019-00877-1
Abstract
Two classes of interacting particle systems on Z are shown to be Pfaffian point processes, at any fixed time and for all deterministic initial conditions. The first comprises coalescing and branching random walks, the second annihilating random walks with pairwise immigration. Various limiting Pfaffian point processes on R are found by diffusive rescaling, including the point set process for the Brownian web and Brownian net.
Item Type: | Journal Article | ||||||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
Library of Congress Subject Headings (LCSH): | Pfaffian systems, Random walks (Mathematics), Brownian motion processes, Mathematical physics | ||||||||
Journal or Publication Title: | Annales Henri Poincare | ||||||||
Publisher: | Springer Basel AG | ||||||||
ISSN: | 1424-0637 | ||||||||
Official Date: | March 2020 | ||||||||
Dates: |
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Volume: | 21 | ||||||||
Page Range: | pp. 885-908 | ||||||||
DOI: | 10.1007/s00023-019-00877-1 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||||
Date of first compliant deposit: | 15 January 2020 | ||||||||
Date of first compliant Open Access: | 24 February 2021 | ||||||||
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Open Access Version: |
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