Acta mathematica scientia, Series B >
ASYMPTOTIC BEHAVIOR FOR RANDOM WALK IN RANDOM |ENVIRONMENT WITH HOLDING TIMES
Received date: 2007-11-15
Revised date: 2009-04-11
Online published: 2010-09-20
Supported by
Project supported by National Natural Science Foundation of China (10531070) and Research Foundation for Outstanding Young Teachers of China University of Geoscience(Wuhan) (CUGQNL0816).
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.
MAO Ming-Zhi , LI Zhi-Min . ASYMPTOTIC BEHAVIOR FOR RANDOM WALK IN RANDOM |ENVIRONMENT WITH HOLDING TIMES[J]. Acta mathematica scientia, Series B, 2010 , 30(5) : 1696 -1708 . DOI: 10.1016/S0252-9602(10)60163-4
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