Scaling limit of local time of Sinai＇s random walk  

作　　者：Wenming HONG Hui YANG Ke ZHOU 

机构地区：[1]School of Mathematical Sciences & Laboratory of Mathematics and Complex Systems, Beijing Normal University, Beijing 100875, China [2]School of Statistics, University of International Business and Economics, Beijing 100029,China

出　　处：《Frontiers of Mathematics in China》2015年第6期1313-1324,共12页中国高等学校学术文摘·数学（英文）

基　　金：Acknowledgements The authors thank the anonymous referees for their very careful reading of the manuscript. This work was supported in part by the National Natural Science Foundation of China （Grant No. 10721091） and the 985-project.

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.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.

关 键 词：Sinai＇s random walk random environment local time Brox＇s diffusion branching process 

分 类 号：O412.1[理学—理论物理] V241.558[理学—物理]