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

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  • Mao, Mingzhi
  • Liu, Ting
  • Foryś, Urszula
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    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.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0167715212003215
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    Bibliographic Info

    Article provided by Elsevier in its journal Statistics & Probability Letters.

    Volume (Year): 83 (2013)
    Issue (Month): 1 ()
    Pages: 52-60

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    Handle: RePEc:eee:stapro:v:83:y:2013:i:1:p:52-60

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    Related research

    Keywords: Random walk; Random environment; Law of the iterated logarithm; Hitting time decomposition;

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