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| ON THE RANGE OF RANDOM WALKS IN RANDOM ENVIRONMENT |
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Citation： |
Zhou Xianyin.ON THE RANGE OF RANDOM WALKS IN RANDOM ENVIRONMENT[J].Chinese Annals of Mathematics B,1995,16(1):131~138 |
| Page view： 889
Net amount： 645 |
Authors： |
Zhou Xianyin; |
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| Abstract： |
The range of random walk on Zd in symmetric random environment is investigated. As results, it is proved that the strong law of large numbers for the range of random walk on Zd in some random environments holds if d >= 3, and a weak law of large numbers holds for d = 1. |
Keywords： |
Law of large numbers, Ergodic theorem, Range of random walk,
Random environment, Effective resistance. |
Classification： |
60F99,60J15. |
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