Simple transient random walks in one-dimensional random environment: the central limit theorem (Q2641899)
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scientific article
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| English | Simple transient random walks in one-dimensional random environment: the central limit theorem |
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Simple transient random walks in one-dimensional random environment: the central limit theorem (English)
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17 August 2007
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The author deals with a simple random walk (dimension one, nearest neighbour jumps) in a quenced random environment. He provides sufficient conditions, stated in terms of properties of the environment, under which the central limit theorem holds for the position of the walk. In particular, these conditions allow for a complete solution of the problem for either i.i.d. or uniformly ergodic environments. For related comprehensive work see \textit{O. Zeitouni} [J. Phys. A, Math. Gen. 39, No. 40, R433--R464 (2006; Zbl 1108.60085)].
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central limit theorem
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quenced random environment
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simple random walk RWRE
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0.9243506
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0.92278194
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0.9051498
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0.9004647
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0.89858043
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