Laws of iterated logarithm for transient random walks in random environments

Fuqing GAO

Front. Math. China ›› 2015, Vol. 10 ›› Issue (4) : 857 -874.

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Front. Math. China ›› 2015, Vol. 10 ›› Issue (4) : 857 -874. DOI: 10.1007/s11464-015-0481-z
RESEARCH ARTICLE
RESEARCH ARTICLE

Laws of iterated logarithm for transient random walks in random environments

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Abstract

We consider laws of iterated logarithm for one-dimensional transient random walks in random environments. A quenched law of iterated logarithm is presented for transient random walks in general ergodic random environments, including independent identically distributed environments and uniformly ergodic environments.

Keywords

Laws of iterated logarithm / random walk / random environment

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Fuqing GAO. Laws of iterated logarithm for transient random walks in random environments. Front. Math. China, 2015, 10(4): 857-874 DOI:10.1007/s11464-015-0481-z

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