| 完备可分度量群上的齐次Levy过程的复合Poisson逼近 |
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| 引用本文： | 刘勇 龚光鲁. 完备可分度量群上的齐次Levy过程的复合Poisson逼近[J]. 数学物理学报(A辑), 1998, 18(2): 221-227 |
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| 作者姓名： | 刘勇 龚光鲁 |
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| 作者单位： | 北京大学数学学院!北京，100871，清华大学应用数学系!北京，100084 |
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| 摘 要： | 该文利用算子半群的方法给出了取值于具有左不变度量的完备可分群的齐次Levy过程是复合Poisson过程的弱极限这一结论．
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| 关 键 词： | 完备可分度量群 齐次Levy过程 复合Poisson过程 弱收敛 |
Approximation of Homogeneous Levy Processes by Compound Poisson Processes on Complete Separable Metric Groups |
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| Liu Yong. Approximation of Homogeneous Levy Processes by Compound Poisson Processes on Complete Separable Metric Groups[J]. Acta Mathematica Scientia, 1998, 18(2): 221-227 |
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| Authors: | Liu Yong |
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| Abstract: | Let G be a complete and separable group with a left invariant metric,and {X(t) } be a homogeneous Levy processes with values in G. By means of operator semigroups we prove:there is a sequence of compound Poisson processes with values in G that converges weakly to {X(t) }. |
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| Keywords: | : Complete separable metric group Homogeneous Levy Process Compound Poisson process Weak convergence |
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