| 随机环境中有界跳幅随机游动常返性暂留性的另一证明 |
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| 引用本文： | 王士东,洪文明.随机环境中有界跳幅随机游动常返性暂留性的另一证明[J].数学物理学报(A辑),2010,30(2):289-296. |
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| 作者姓名： | 王士东 洪文明 |
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| 作者单位： | 北京师范大学教学科学学院数学与复杂系统实验室,北京,100875 |
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| 基金项目： | 国家自然科学基金，教育部新世纪优秀人才支持计划NCET |
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| 摘 要： | 假定环境是平稳遍历的,对具有有限跳幅的随机环境中的随机游动,该文给出了其常返性暂留性的另一证明.Bremont(2002)的文章中,通过计算逃逸概率的方法给出了证明,而该文的证明采用了鞅收敛定理的方法.
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| 关 键 词： | 随机环境中随机游动 鞅收敛定理 常返性 暂留性 |
| 收稿时间： | 2008-05-15 |
| 修稿时间： | 2009-12-29 |
Alternative Proof for the Recurrence and Transience of Random Walks in Random Environment with Bounded Jumps |
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| WANG Shi-Dong,HONG Wen-Ming.Alternative Proof for the Recurrence and Transience of Random Walks in Random Environment with Bounded Jumps[J].Acta Mathematica Scientia,2010,30(2):289-296. |
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| Authors: | WANG Shi-Dong HONG Wen-Ming |
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| Institution: | School of Mathematical Sciences &;|Laboratory of |Mathematics and Complex Systems, Beijing Normal University, Beijing 100875 |
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| Abstract: | The authors derive a new proof of a recurrence and transience criteria for a class of random walks in random environment with bounded jumps,where the environment is assumed to be stationary and ergodic.Martingale convergence method is used in this paper,comparing the original one(Bremont(2002)) by the method of computing the exit probability. |
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| Keywords: | Random walks in random environment Martingale convergence theorem Recur-rence Transience |
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