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

Article ID Journal Published Year Pages File Type
1152038 Statistics & Probability Letters 2013 9 Pages PDF
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
60F1582C4160J10Law of the iterated logarithmRandom environment
Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
Preview
The quenched law of the iterated logarithm for one-dimensional random walks in a random environment
Authors
Mingzhi Mao, Ting Liu, Urszula Foryś,
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Journal
Statistics & Probability Letters
Journal: Statistics & Probability Letters
Related Categories
60F15
82C41
60J10
Law of the iterated logarithm
Random environment
Algebra and Number Theory
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