ASYMPTOTIC BEHAVIOR FOR RANDOM WALK IN RANDOM ENVIRONMENT WITH HOLDING TIMES
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...
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| Published in | Acta mathematica scientia Vol. 30; no. 5; pp. 1696 - 1708 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.09.2010
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0252-9602 1572-9087 |
| DOI | 10.1016/S0252-9602(10)60163-4 |
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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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| AbstractList | 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. 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. |
| Author | 毛明志 李志民 |
| AuthorAffiliation | School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China Department of Applied Mathematics and Physics, Anhui Institute of Science and Technology, Wuhu 241000, China |
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| Cites_doi | 10.1002/cpa.10093 10.1214/aop/1176996444 10.1007/978-3-540-39874-5_2 10.1239/jap/1032374457 10.1214/aop/1176994306 10.1214/aop/1023481003 10.1214/aop/1055425786 10.1007/s100970050001 10.1214/aop/1176988607 10.1214/aoap/1026915612 10.1070/RM1985v040n02ABEH003558 10.1088/0305-4470/39/40/R01 10.1214/aop/1079021470 10.1214/aop/1022874818 10.1007/s004400000074 |
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| SubjectTerms | 60F15 60J10 60K37 82C41 Asymptotic properties central limit theorem Construction Environmental law Escape structures Escape velocity Law law of large numbers random environment Random walk renewal structure Theorems 中心极限定理 时间随机环境 渐近性质 渐近行为 连续时间 随机游动 随机游走 |
| Title | ASYMPTOTIC BEHAVIOR FOR RANDOM WALK IN RANDOM ENVIRONMENT WITH HOLDING TIMES |
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