Cutoff for polymer pinning dynamics in the repulsive phase
报告专家：杨尚杰（以色列Bar-Ilan大学）
报告时间：2023年11月13日（星期一）下午16：00-17：00
报告地点：数学学院东409
报告摘要：We consider the Glauber dynamics for a model of polymer interacting with a substrate or wall. The state space is the set of one-dimensional nearest-neighbor paths with nonnegative integer coordinates, starting at the x-axis and coming back tothe x-axis after L steps and the Gibbs weight of a path is given by a#contacts, where a is a positive parameter which models the intensity of the interaction with the substrate. The dynamics proceeds by updating each coordinate with rate one in a heat-bath fashion. This model was introduced by Caputo et al with the aim of studying the relaxation to equilibrium of the system.
We present new results concerning the total variation mixing time for this dynamic when a<2, which corresponds to the phase where the effects of the wall's entropic repulsion dominates, improving results by Caputo et al.
专家简介：杨尚杰，2013年本科毕业于中山大学，2021年于IMPA在Lacoin教授的指导下获得博士学位。目前是以色列Bar-Ilan大学的博士后。他主要关心概率论和统计物理相关问题，研究工作主要围绕马氏链及其混合时间、随机聚合物模型、交互粒子系统、随机环境中的随机游走、高斯随机函数等展开。曾在《应用概率年鉴》、《随机过程及应用》、《亨利庞加莱研究所年鉴-概率和统计子刊》上发表多篇论文。
邀请人：常寅山
![1108常寅山[lecture]杨尚杰-01.png](http://tianyuan.scu.edu.cn/upload/default/20231108/1108%E5%B8%B8%E5%AF%85%E5%B1%B1%5Blecture%5D%E6%9D%A8%E5%B0%9A%E6%9D%B0-01.png "1108常寅山[lecture]杨尚杰-01.png")