Scaling limit of local time of Sinai’s random walk

被引：0

作者：

Wenming Hong

Hui Yang

Ke Zhou

机构：

[1] Beijing Normal University,School of Mathematical Sciences & Laboratory of Mathematics and Complex Systems

[2] University of International Business and Economics,School of Statistics

来源：

Frontiers of Mathematics in China | 2015年 / 10卷

关键词：

Sinai’s random walk; random environment; local time; Brox’s diffusion; branching process; 60J60; 60G50;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove that the local times of a sequence of Sinai’s random walks converge to those of Brox’s diffusion by proper scaling. Our proof is based on the intrinsic branching structure of the random walk and the convergence of the branching processes in random environment.

引用

页码：1313 / 1324

页数：11

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