Scaling limit for trap models on zd

• 成果类型: Article
• 署名作者: Ben Arous, Gerard; Cerny, Jiri
• 署名单位: New York University; Swiss Federal Institutes of Technology Domain; Ecole Polytechnique Federale de Lausanne
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/009117907000000024
• 发表日期: 2007
• 页码: 2356-2384
• 关键词: random-walks; diffusion

摘要

We give the quenched scaling limit of Bouchaud's trap model in d >= 2. This scaling limit is the fractional-kinetics process, that is the time change of a d-dimensional Brownian motion by the inverse of an independent alpha-stable subordinator.