The Critical Disordered Pinning Measure
发布时间：2023年11月09日
浏览次数：1603
发布者: He Liu
主讲人： 卫然（西安交通利物浦大学）
活动时间： 从 2023-11-16 10:00 到 11:30
场地： 北京国际数学研究中心，镜春园78号院（怀新园）78201室
The \textit{disordered pinning model} is a statistical mechanical model that depicts the interaction between a polymer chain and a membrane. The polymer chain is represented by a renewal process and the membrane is represented by a sequence of random variables (also called the \textit{disorder}) indexed by time. At each renewal time, the distribution of the renewal process is exponentially tilted by the disorder. In this talk, we first review some properties and known results for this model, and then we introduce our result. We show that when the disorder is marginally relevant and the temperature is in a critical window, then the partition functions of the model converge weakly to a random measure on time. This is a joint work with Jinjiong Yu.
