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The behavior of super-Brownian motion near extinction
Authors:Guo Junyi  Wu Rong
Institution:(1) Department of Mathematics, Nankai University, 300071 Tianjin, China
Abstract:We start from a super-Brownian motion with the branching mechanism presented by Dawson and Vinogradov. Its behaviour near extinction is studied in this paper, and the main result is that the diameter of the support tends to zero almost surely at the time of extinction. Research supported by Tianyuan Foundation and Postdoctoral Foundation
Keywords:Super-Brownian motion  Extinction behaviour  Branching mechanism
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