Asymptotic behavior for random walk in random environment with holding times |
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| Authors: | Mao Mingzhi Li Zhimin |
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| Institution: | 1. School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China;2. Department of Applied Mathematics and Physics, Anhui Institute of Science and Technology, Wuhu 241000, China |
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| Abstract: | In this article, we mainly discuss the asymptotic behavior for multi-dimensional continuous-time random walk in random environment with holding times. By constructing a renewal structure and using the point “environment viewed from the particle”, under General Kalikow's Condition, we show the law of large numbers (LLN) and central limit theorem (CLT) for the escape speed of random walk. |
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| Keywords: | random walk random environment central limit theorem law of large numbers renewal structure |
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