收稿日期: 2015-12-30
修回日期: 2016-05-20
网络出版日期: 2017-01-15
基金资助
国家自然科学基金（11171342）资助
Classification of states for a biased random walk on a branching tree in the varying environment
Received date: 2015-12-30
Revised date: 2016-05-20
Online published: 2017-01-15
张志洋 , 胡晓予 . 变化环境中分枝树上有偏随机游动的状态分类[J]. 中国科学院大学学报, 2017 , 34(1) : 1 -7 . DOI: 10.7523/j.issn.2095-6134.2017.01.001
In this study we investigate biased random walk on branching trees in the varying environment. We have obtained the sufficient conditions for transience, positive recurrence, and null recurrence. Our main result enables the further study on the central limit theory for this kind of random walks.
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