| Properties of Super-Poisson Processes and Super-Random Walks with Spatially Dependent Branching Rates |
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| 作者姓名： | Yan Xia REN |
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| 作者单位： | LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, P.R. China |
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| 基金项目： | Supported by NNSF of China （Grant No. 10471003）, Foundation for Authors Awarded Excellent Ph. D. Dissertation |
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| 摘 要： | The global supports of super-Poisson processes and super-random walks with a branching mechanism ψ（z）=z^2 and constant branching rate are known to be noncompact. It turns out that, for any spatially dependent branching rate, this property remains true. However, the asymptotic extinction property for these two kinds of superprocesses depends on the decay rate of the branching-rate function at infinity.
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| 关 键 词： | 超泊松过程 超随机游动 渐近衰减 随机过程 |
| 文章编号： | 10.1007/s10114-007-1001-1 |
| 收稿时间： | 2005-10-28 |
| 修稿时间： | 2007-01-26 |
Properties of super-Poisson processes and super-random walks with spatially dependent branching rates |
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| Yan Xia REN.Properties of Super-Poisson Processes and Super-Random Walks with Spatially Dependent Branching Rates[J].Acta Mathematica Sinica,2008,24(2):275-284. |
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| Authors: | Yan Xia Ren |
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| Institution: | (1) LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, P.R. China |
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| Abstract: | The global supports of super-Poisson processes and super-random walks with a branching mechanism ϕ(z) = z
2 and constant branching rate are known to be noncompact. It turns out that, for any spatially dependent branching rate, this
property remains true. However, the asymptotic extinction property for these two kinds of superprocesses depends on the decay
rate of the branching-rate function at infinity.
Supported by NNSF of China (Grant No. 10471003), Foundation for Authors Awarded Excellent Ph. D. Dissertation |
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| Keywords: | super-Poisson process super-random walk global support asymptotic extinction |
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