| RENEWAL THEOREM FOR （L, 1）-RANDOM WALK IN RANDOM ENVIRONMENT |
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| 引用本文： | 洪文明,孙鸿雁.RENEWAL THEOREM FOR （L, 1）-RANDOM WALK IN RANDOM ENVIRONMENT[J].数学物理学报(B辑英文版),2013,33(6):1736-1748. |
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| 作者姓名： | 洪文明 孙鸿雁 |
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| 作者单位： | Laboratory of Mathematics and Complex Systems, School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China |
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| 基金项目： | The project is supported by NSFC（11131003）, 985-Project.The authors would like to thank Huarning Wang for the stimulat-ing discussions and his kind helps with the revised vision. The authors would like to thank Lin Zhang for the helpful discussions. |
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| 摘 要： | We consider a random walk on Z in random environment with possible jumps {-L,…, -1, 1}, in the case that the environment {ωi ： i ∈ Z} are i.i.d.. We establish the renewal theorem for the Markov chain of ＂the environment viewed from the particle＂ in both annealed probability and quenched probability, which generalize partially the results of Kesten （1977） and Lalley （1986） for the nearest random walk in random environment on Z, respectively. Our method is based on （L, 1）-RWRE formulated in Hong and Wang the intrinsic branching structure within the （2013）.
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| 关 键 词： | 随机环境 随机游动 定理 随机游走 马尔可夫链 分支结构 概率 跳跃 |
| 收稿时间： | 19 March 2012 |
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