Strong localization and macroscopic atoms for directed polymers

• 成果类型: Article
• 署名作者: Vargas, Vincent
• 署名单位: Universite Paris Cite; Sorbonne Universite
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-006-0030-5
• 发表日期: 2007
• 页码: 391-410
• 关键词: random environment; diffusion; disorder; shape

摘要

In this article, we derive strong localization results for directed polymers in random environment. We show that at low temperature the polymer measure is asymptotically concentrated at a few points of macroscopic mass (we call these points is an element of-atoms). These results are derived assuming weak conditions on the tail decay of the random environment.