Existence and regularity of the quasi-potential function in LDP
发布时间：2025年10月15日
浏览次数：200
发布者: Qiuye Huang
主讲人： Weiwei Qi (AMSS, CAS)
活动时间： 从 2025-10-23 16:00 到 17:00
场地： 北京国际数学研究中心，全斋全29教室
Abstract: Real systems are often subject to noises due to internal uncertainties and complexity as well as external randomness. Even small noises can lead to intriguing dynamics across multiple timescales including transient dynamics and long-term dynamics captured by quasi-stationary distributions and stationary distributions, respectively. Understanding the asymptotic behaviors of (quasi-)stationary distributions in the small noise limit is of fundamental importance. However, this analysis presents a singular limit, posing significant challenges. A powerful approach is to establish the large deviation principle (LDP) for (quasi-)stationary distributions. In this talk, I will present our recent results on the existence and regularity of the quasi-potential function in LDP, which have broad and impactful applications across various disciplines. Specifically, we will discuss its applications in non-equilibrium thermodynamics.
