Minimal Position of Branching Random Walks in Random Environment

被引：0
|
作者：
Makoto Nakashima
机构：
[1] Kyoto University,Division of Mathematics, Graduate School of Science
来源：
Journal of Theoretical Probability | 2013年 / 26卷
关键词：
Branching random walks; Random environment; Minimal position; 60J80; 60K37;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider branching random walks in random environment (BRWRE) on ℕ with only one particle starting at the origin. Particles reproduce according to offspring distribution (which depends on its locations) and move one step to the right (with a probability in (0,1] which may depend on the location) or stay in the same site. We give an estimate to the minimal displacement of BRWRE at time n in the case where the essential supremum of mean number of offsprings which stay in the same place is equal to 1.
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页码：1181 / 1217
页数：36
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