一类随机环境中半直线上的可逗留随机游动

Abstract

Abstract:

In this paper, the authors describe and analyze a class of random walks with resting state on halfline in random environments and have a recurrencetransience criterion (including positive recurrence, zero recurrence, transience); Furthermore, the authors derive an LIL law and L_pconvergence therom by using the approaches of Lyapunov function and martingale.

Key words: Random walks, Random environments, Recurrence; , Transience, L_p convergence.

CLC Number:

60J10

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LIU Xiang-Dong, DAI Yong-Long. A Class of Random Walks on Half line in Random Environments[J].Acta mathematica scientia,Series A, 2005, 25(1): 98-102.

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A Class of Random Walks on Half line in Random Environments

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