Scaling limit theorem for transient random walk in random environment  

作　　者：Wenming HONG Hui YANG 

机构地区：[1]School of Mathematical Sciences & Laboratory of Mathematics and Complex Systems,Beijing Normal University, Beijing 100875, China [2]College of Science, Minzu University of China, Beijing 100081, China

出　　处：《Frontiers of Mathematics in China》2018年第5期1033-1044,共12页中国高等学校学术文摘·数学（英文）

摘　　要：We construct a sequence of transient random walks in random environments and prove that by proper scaling, it converges to a diffusion process with drifted Brownian potential. To this end, we prove a counterpart of convergence for transient random walk in non-random environment, which is interesting itself.We construct a sequence of transient random walks in random environments and prove that by proper scaling, it converges to a diffusion process with drifted Brownian potential. To this end, we prove a counterpart of convergence for transient random walk in non-random environment, which is interesting itself.

关 键 词：Random walk random environment diffusion process Brownian motion with drift 

分 类 号：O174.22[理学—数学] TP393.08[理学—基础数学]