The behavior of super-Brownian motion near extinction |
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Authors: | Guo Junyi Wu Rong |
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Institution: | (1) Department of Mathematics, Nankai University, 300071 Tianjin, China |
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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 |
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Keywords: | Super-Brownian motion Extinction behaviour Branching mechanism |
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