Operator Equations of Branching Random Walks

被引：0
|
作者：
E. Yarovaya
机构：
[1] Lomonosov Moscow State University,Department of Probability Theory
[2] Steklov Mathematical Institute of Russian Academy of Sciences,undefined
来源：
Methodology and Computing in Applied Probability | 2019年 / 21卷
关键词：
Branching random walks; Green function; Convolution-type operator; Multipoint perturbations; Positive eigenvalues; 60J80; 60J35; 62G32;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Consideration is given to the continuous-time supercritical branching random walk over a multidimensional lattice with a finite number of particle generation sources of the same intensity both with and without constraint on the variance of jumps of random walk underlying the process. Asymptotic behavior of the Green function and eigenvalue of the evolution operator of the mean number of particles under source intensity close to the critical one was established.
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页码：1007 / 1021
页数：14
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