| 非齐次聚合分解过程的平稳分布 |
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| 引用本文： | 胡春华. 非齐次聚合分解过程的平稳分布[J]. 北京师范大学学报(自然科学版), 2012, 48(2): 119-122 |
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| 作者姓名： | 胡春华 |
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| 作者单位： | 北京师范大学珠海分校应用数学学院,广东珠海,519085 |
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| 摘 要： | 给出了非齐次聚合分解过程的平稳分布,证明了k-阶大小的粒子团数目在总粒子数N→∞时的极限服从参数h(k)rk为Poisson分布.
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| 关 键 词： | 非齐次聚合分解过程 平稳分布 Poisson多项式 |
STATIONARY DISTRIBUTION OF HETEROGENEOUS COAGULATION-FRAGMENTATION PROCESSES |
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| HU Chunhua. STATIONARY DISTRIBUTION OF HETEROGENEOUS COAGULATION-FRAGMENTATION PROCESSES[J]. Journal of Beijing Normal University(Natural Science), 2012, 48(2): 119-122 |
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| Authors: | HU Chunhua |
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| Affiliation: | HU Chunhua(School of Applied Mathematics,Beijing Normal University(Zhuhai),519085,Zhuhai,Guangdong,China) |
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| Abstract: | A closed form of stationary distribution of heterogeneous coagulation-fragmentation process(HCFP) was given to model coagulation,fragmentation and diffusion of clusters of particles on lattice.It was proved that distribution of number of k-clusters was asymptotically subjected to Poisson distribution,with parameter h(k)rk as the total number of particles N→∞. |
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| Keywords: | heterogeneous coagulation-fragmentation stationary distribution Poisson polynomial |
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