Quenched limit theorems for nearest neighbour random walks in 1D random environment

Dmitry Dolgopyat; Ilya Goldsheid

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arXiv · 1012.2503

Quenched limit theorems for nearest neighbour random walks in 1D random environment

Dmitry Dolgopyat·Ilya Goldsheid

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Abstract

It is well known that random walks in one dimensional random environment can exhibit subdiffusive behavior due to presence of traps. In this paper we show that the passage times of different traps are asymptotically independent exponential random variables with parameters forming, asymptotically, a Poisson process. This allows us to prove weak quenched limit theorems in the subdiffusive regime where the contribution of traps plays the dominating role.

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BibTeX RIS

Dmitry Dolgopyat, Ilya Goldsheid. 2010-12-12. Quenched limit theorems for nearest neighbour random walks in 1D random environment. https://arxiv.org/abs/1012.2503

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