Gibbs measures relative to Brownian motion

• 成果类型: Article
• 署名作者: Osada, H; Spohn, H
• 署名单位: Nagoya University; Technical University of Munich; Technical University of Munich; University of Munich
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• 发表日期: 1999
• 页码: 1183-1207
• 关键词: statistical-mechanics

摘要

We consider Brownian motion perturbed by the exponential of an action. The action is the sum of an external, one-body potential and a two-body interaction potential which depends only on the increments. Under suitable conditions on these potentials, we establish existence and uniqueness of the corresponding Gibbs measure. We also provide an example where uniqueness fails because of a slow decay in the interaction potential.