时 间：2026年10月20 日（周二）11：00 - 12：00
地 点：普陀校区理科大楼A1514室
报告人：宋健 山东大学教授
邀请人：俞锦炯 华东师范大学统计学院
摘 要：
We study the scaling limit of the disordered pinning model in correlated Gaussian environments. The tail probability of the underlying renewal process has a polynomial decay with exponent $\alpha>0$. The covariance of the Gaussian disorder $\{\omega_n\}_{n\in\mathbb N}$ is given by $\cov(\omega_n,\omega_m)=|n-m|^{2H-2}$ with $H\in(0,1)$. Assuming $\alpha\in(0,\frac12)$, $H\in(\frac12,1)$ and $\alpha+2H>2$, we show that the partition function of the disordered pinning model, under an appropriate scaling, converges in distribution to the $L^1$-solution of the fractional stochastic heat equation driven by noise colored in time and delta in space. In particular, it is known that the solution is not $L^2$-integrable. This talk is based on joint work with Le Chen, Meng Wang and Ran Wei.
报告人简介：
宋健，山东大学教授，博士研究生导师。2010.5 美国堪萨斯大学理学博士，2010.9-2012.12 美国Rutgers大学New Brunswick分校助理教授，2013.1-2018.8 香港大学助理教授，2018.9至今山东大学教授。主要研究方向为随机偏微分方程、统计物理模型、随机矩阵、随机分析及其应用等。