Stability and Instability of Steady States for a Branching Random Walk

被引：0
|
作者：
Yaqin Feng
Stanislav Molchanov
Elena Yarovaya
机构：
[1] Ohio University,Department of Mathematics
[2] University of North Carolina at Charlotte,Department of Mathematics and Statistics
[3] Higher School of Economics,National Research University
[4] Lomonosov Moscow State University,Department of Probability Theory, Faculty of Mathematics and Mechanics
来源：
Methodology and Computing in Applied Probability | 2021年 / 23卷
关键词：
Branching random walk; Local perturbation; Steady state; Limit theorems; 60J80; 60J35; 60G32;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider the time evolution of a lattice branching random walk with local perturbations. Under certain conditions, we prove the Carleman type estimation for the moments of a particle subpopulation number and show the existence of a steady state.
引用
收藏
页码：207 / 218
页数：11
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