PATH PROPERTIES OF THE DISORDERED PINNING MODEL IN THE DELOCALIZED REGIME

• 成果类型: Article
• 署名作者: Alexander, Kenneth S.; Zygouras, Nikos
• 署名单位: University of Southern California; University of Warwick
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/13-AAP930
• 发表日期: 2014
• 页码: 599-615
• 关键词: polymer depinning transitions; critical-points; interfaces; copolymers; relevance

摘要

We study the path properties of a random polymer attracted to a defect line by a potential with disorder, and we prove that in the delocalized regime, at any temperature, the number of contacts with the defect line remains in a certain sense tight in probability as the polymer length varies. On the other hand we show that at sufficiently low temperature, there exists a.s. a subsequence where the number of contacts grows like the log of the length of the polymer.