POINTWISE ESTIMATES AND EXPONENTIAL LAWS IN METASTABLE SYSTEMS VIA COUPLING METHODS

• 成果类型: Article
• 署名作者: Bianchi, Alessandra; Bovier, Anton; Ioffe, Dmitry
• 署名单位: Leibniz Association; Weierstrass Institute for Applied Analysis & Stochastics; University of Bonn; Technion Israel Institute of Technology
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/10-AOP622
• 发表日期: 2012
• 页码: 339-371
• 关键词: small random perturbations; curie-weiss model; Stochastic dynamics; sharp asymptotics; markov-chains; exit times; glauber

摘要

We show how coupling techniques can be used in some metastable systems to prove that mean metastable exit times are almost constant as functions of the starting microscopic configuration within a meta-stable set. In the example of the Random Field Curie Weiss model, we show that these ideas can also be used to prove asymptotic exponentiallity of normalized metastable escape times.