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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Bibliographic Details
Published in	Acta mathematica scientia Vol. 30; no. 5; pp. 1696 - 1708
Main Author	毛明志李志民
Format	Journal Article
Language	English
Published	Elsevier Ltd 01.09.2010
Subjects	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 60J10 random walk central limit theorem law of large numbers renewal structure random environment 82C41 60K37 60F15
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ISSN	0252-9602 1572-9087
DOI	10.1016/S0252-9602(10)60163-4

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Summary:	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.
Bibliography:	random walk; random environment; central limit theorem; law of large numbers renewal structure random walk law of large numbers renewal structure O212.1 central limit theorem random environment 42-1227/O O211.62 ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23
ISSN:	0252-9602 1572-9087
DOI:	10.1016/S0252-9602(10)60163-4