Local Limit Theorems for random walks in a 1D random environment

被引：0
|
作者：
D. Dolgopyat
I. Goldsheid
机构：
[1] University of Maryland,Department of Mathematics, Institute of Physical Science and Technology
[2] Queen Mary University of London,School of Mathematical Sciences
来源：
Archiv der Mathematik | 2013年 / 101卷
关键词：
Primary 60K37; Secondary 60F05; RWRE; Quenched random environments; Local Limit Theorem; Environment viewed from the particle;
D O I：
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摘要：
We consider random walks in a one-dimensional i.i.d. random environment with jumps to the nearest neighbours. For almost all environments, we prove a quenched Local Limit Theorem (LLT) for the position of the walk if the diffusivity condition is satisfied. As a corollary, we obtain the annealed version of the LLT and a new proof of the theorem of Lalley which states that the distribution of the environment viewed from the particle has a limit for a. e. environment.
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页码：191 / 200
页数：9
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