摘要
随机环境中广义随机游动(GRWRE)是随机环境中随机游动(RWRE)的推广.该文构造了非负整数集上的GRWRE,证明了这种模型的存在性,并计算了灭绝概率.
Generalized random walks in random environments is the natural generalization of random walks in random environments. In this paper, the model with the set of non-negative integers as state space is constructed, its existence is proved, and explicit formula about its extinction probabilities is obtained.
出处
《数学物理学报(A辑)》
CSCD
北大核心
2006年第3期476-480,共5页
Acta Mathematica Scientia
基金
国家自然科学基金(10271020
10471012
10571051)湖南省中青年科技基金(00JZY2141)教育部留学回国人员科研启动基金([2005]564)资助
关键词
随机环境
广义随机游动
灭绝概率.
Random environment
Generalized random walk
Extinction probability.