随机环境中广义随机游动的灭绝概率

Calculating Extinction Probabilities for Generalized Random Walks in Random Environments

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.