The quenched law of the iterated logarithm for one-dimensional random walks in a random environment

Mingzhi Mao, Ting Liu and Urszula Foryś

Statistics & Probability Letters, 2013, vol. 83, issue 1, 52-60

Abstract: In this work, we discuss the rate of convergence of one-dimensional random walks in a random environment. Using the hitting time decomposition, we prove that the speed of escape of random walks satisfies the quenched law of the iterated logarithm in a standard way.

Keywords: Random walk; Random environment; Law of the iterated logarithm; Hitting time decomposition (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:83:y:2013:i:1:p:52-60

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DOI: 10.1016/j.spl.2012.08.016

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