RANDOMLY TRAPPED RANDOM WALKS

• 成果类型: Article
• 署名作者: Ben Arous, Gerard; Cabezas, Manuel; Cerny, Jiri; Royfman, Roman
• 署名单位: New York University; University of Vienna
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/14-AOP939
• 发表日期: 2015
• 页码: 2405-2457
• 关键词: scaling limit; CONVERGENCE; BEHAVIOR; MODEL

摘要

We introduce a general model of trapping for random walks on graphs. We give the possible scaling limits of these Randomly Trapped Random Walks on Z. These scaling limits include the well-known fractional kinetics process, the Fontes-Isopi-Newman singular diffusion as well as a new broad class we call spatially subordinated Brownian motions. We give sufficient conditions for convergence and illustrate these on two important examples.