Math @ Duke

Publications [#243546] of Richard T. Durrett
Papers Published
 Durrett, R; Mytnik, L; Perkins, E, Competing superbrownian motions as limits of interacting particle systems,
Electronic Journal of Probability, vol. 10
(January, 2005),
pp. 11471220, Institute of Mathematical Statistics, ISSN 10836489 [MR2164042 (2006f:60052)], [doi]
(last updated on 2019/06/25)
Abstract: We study twotype branching random walks in which the birth or death rate of each type can depend on the number of neighbors of the opposite type. This competing species model contains variants of Durrett’s predatorprey model and Durrett and Levin’s colicin model as special cases. We verify in some cases convergence of scaling limits of these models to a pair of superBrownian motions interacting through their collision local times, constructed by Evans and Perkins. © 2005 Applied Probability Trust.


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