|
|||||
|
|
Scaling limit of local time of Sinai’s random walk |
|
| Authors: | Wenming HONG Hui YANG Ke ZHOU |
| Institution: | 1. School of Mathematical Sciences & Laboratory of Mathematics and Complex Systems, Beijing Normal University, Beijing 100875, China2. School of Statistics, University of International Business and Economics, Beijing 100029, China |
| Abstract: | 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. |
| Keywords: | Sinai’s random walk random environment local time Brox’s diffusion branching process |
| 点击此处可从《Frontiers of Mathematics in China》浏览原始摘要信息 | |
| 点击此处可从《Frontiers of Mathematics in China》下载免费的PDF全文 | |