| ON THE RANGE OF RANDOM WALKS IN RANDOM ENVIRONMENT |
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| 引用本文： | Zhou Xianyin. ON THE RANGE OF RANDOM WALKS IN RANDOM ENVIRONMENT[J]. 数学年刊B辑(英文版), 1995, 16(1): 131-138 |
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| 作者姓名： | Zhou Xianyin |
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| 作者单位： | Department of Mathematics，Beijing Normal University，Beijing 100875，China. |
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| 摘 要： | ＯＮＴＨＥＲＡＮＧＥＯＦＲＡＮＤＯＭＷＡＬＫＳＩＮＲＡＮＤＯＭＥＮＶＩＲＯＮＭＥＮＴ￥ＺＨＯＵＸＩＡＮＹＩＮ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＢｅｉｊｉｎｇＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，Ｂｅｉｊｉｎｇ１００８７５，Ｃｈｉｎａ．Ｐｒ...
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| 关 键 词： | 大数法则 遍历定理 随机游动 有效电阻 |
| 收稿时间： | 1992-02-28 |
ON THE RANGE OF RANDOM WALKS IN RANDOM ENVIRONMENT |
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| Zhou Xianyin. ON THE RANGE OF RANDOM WALKS IN RANDOM ENVIRONMENT[J]. Chinese Annals of Mathematics,Series B, 1995, 16(1): 131-138 |
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| Authors: | Zhou Xianyin |
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| Affiliation: | DepartmentofMathematics,BeijingNormalUniversity,Beijing100875,China. |
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| Abstract: | The range of roaldom walk on Z^d in symmetric random environment is investigated. As results, it is proved that the strong law of large numbers for the range of random walk oil Z^d in some random environments holds if d > 3, and a weak law of large numbers holds for d = 1. |
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| Keywords: | Law of large numbers Ergodic theorem Range of random walk Random environment Effective resistance. |
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