右半直线上依分布收敛独立随机环境中随机游动的吸收概率

J4 ›› 2013, Vol. 48 ›› Issue (1): 93-99.

右半直线上依分布收敛独立随机环境中随机游动的吸收概率

任敏1,2,张光辉1

1.宿州学院数学与统计学院, 安徽宿州 234000; 2.宿州学院智能信息处理实验室, 安徽宿州234000

收稿日期:2012-01-03 出版日期:2013-01-20 发布日期:2013-01-15
作者简介:任敏(1982- )，女,讲师,硕士研究生,现从事随机环境中马氏过程研究. Email:rm0107116@ 163.com
基金资助:
国家自然科学基金资助项目(10901003)；安徽省高等学校优秀青年人才基金资助项目(2012SQRL201)；宿州学院科研平台开放课题项目(2012YKF32, 2010YKF12, 2010YKF11)

Absorbing probabilities of random walks in an independent random environment convergence in distribution on the half-line

REN Min1,2, ZHANG Guang-hui1

1. School of Mathematics and Statistics, Suzhou University, Suzhou 234000, Anhui, China;
2. Intelligent Information Processing Laboratory of Suzhou University, Suzhou 234000, Anhui, China

Received:2012-01-03 Online:2013-01-20 Published:2013-01-15

摘要/Abstract

摘要：

主要讨论右半直线上独立随机环境中带有吸收壁的随机游动,在假定环境满足一定条件下证明了一个强大数定律,并应用该定律计算了其吸收概率。

关键词: 随机环境;随机游动;吸收概率

Abstract:

Random walk with absorbing barrier in an independent random environment on the half line was studied. Under some special conditions,a strong law of large number was proven, and then applied it to discuss its absorbing probabilities.

Key words: random environments; random walk; absorbing probabilities

任敏1,2,张光辉1. 右半直线上依分布收敛独立随机环境中随机游动的吸收概率[J]. J4, 2013, 48(1): 93-99.

REN Min1,2, ZHANG Guang-hui1. Absorbing probabilities of random walks in an independent random environment convergence in distribution on the half-line[J]. J4, 2013, 48(1): 93-99.

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