K-processes, scaling limit and aging for the trap model in the complete graph

• 成果类型: Article
• 署名作者: Fontes, L. R. G.; Mathieu, P.
• 署名单位: Aix-Marseille Universite
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/07-AOP360
• 发表日期: 2008
• 页码: 1322-1358
• 关键词: random energy-model; glauber dynamics; bouchauds model; DIFFUSIONS; dimension; rem

摘要

We study K-processes, which are Markov processes in a denumerable state space, all of whose elements are stable, with the exception of a single state, starting from which the process enters finite sets of stable states with uniform distribution. We show how these processes arise, in a particular instance, as scaling limits of the trap model in the complete graph, and subsequently derive aging results for those models in this context.