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.
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References
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Guo Junyi. Doctoral dissertation of Nankai University, 1995
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Research supported by Tianyuan Foundation and Postdoctoral Foundation
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Junyi, G., Rong, W. The behavior of super-Brownian motion near extinction. Acta Mathematica Sinica 14, 315–320 (1998). https://doi.org/10.1007/BF02580434
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DOI: https://doi.org/10.1007/BF02580434