| On the Monotonicity of the Speed of Random Walks on a Percolation Cluster of Trees |
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| 引用本文： | Da Yue CHEN Fu Xi ZHANG. On the Monotonicity of the Speed of Random Walks on a Percolation Cluster of Trees[J]. 数学学报(英文版), 2007, 23(11): 1949-1954. DOI: 10.1007/s10114-007-0975-z |
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| 作者姓名： | Da Yue CHEN Fu Xi ZHANG |
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| 作者单位： | LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, P. R. China |
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| 基金项目： | Supported in part by Grant G1999075106 from the Ministry of Science and Technology of China;Acknowledgements We would like to thank Yueyun Hu for stimulating discussions on Question A. This paper was completed while the first author was visiting MSRI; its generous support is gratefully acknowledged. |
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| 摘 要： | ![]()
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| 关 键 词： | 随机游动 单调性 随机过程 概率论 |
| 修稿时间： | 2005-04-15 |
On the Monotonicity of the Speed of Random Walks on a Percolation Cluster of Trees |
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| Dayue Chen,Fuxi Zhang. On the Monotonicity of the Speed of Random Walks on a Percolation Cluster of Trees[J]. Acta Mathematica Sinica(English Series), 2007, 23(11): 1949-1954. DOI: 10.1007/s10114-007-0975-z |
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| Authors: | Dayue Chen Fuxi Zhang |
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| Affiliation: | (1) LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, P. R. China |
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| Abstract: | ![]()
The authors consider the simple random walk on the infinite cluster of the Bernoulli bond percolation of trees, and investigate the relation between the speed of the simple random walk and the retaining probability p by studying three classes of trees. A sufficient condition is established for Galton-Watson trees. |
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| Keywords: | random walk percolation speed monotonicity tree |
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