Asymptotic Behavior for Random Walks in Time-Random Environment on $Z^1$ |
Received:October 27, 2005 Revised:July 13, 2007 |
Key Words:
Random walks in time-random environment recurrence-transience criteria strong law of large numbers central limit theorem.
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Fund Project:the Natural Science Foundation of Anhui Province (No. KJ2007B122); the Youth Teachers Aid Item of Anhui Province (No. 2007jql117). |
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Abstract: |
In this paper, we give a general model of random walks in time-random environment in any countable space. Moreover, when the environment is independently identically distributed, a recurrence-transience criterion and the law of large numbers are derived in the nearest-neighbor case on $Z^1$. At last, under regularity conditions, we prove that the RWIRE $\{X_n\}$ on $Z^1$ satisfies a central limit theorem, which is similar to the corresponding results in the case of classical random walks. |
Citation: |
DOI:10.3770/j.issn:1000-341X.2008.01.025 |
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