报告题目：Measure theory, invariant measures, and Gibbs measures for Hamiltonian systems
报 告 人：王玉昭 教授 英国伯明翰大学
报告时间：2024年11月2日，19：00-20：30
报告链接：Join Zoom Meeting ID: 869 1846 3254
https://bham-ac-uk.zoom.us/j/86918463254?pwd=y1zgd9MchFtGVo3qvI2mpPjruWJhkL.1
校内联系人：段犇 bduan@jlu.edu.cn
报告摘要：In this lecture, we will cover measure theory, with a particular focus on the Gaussian measure on infinite-dimensional Hilbert spaces, such as $H^s$. We will then proceed to discuss invariant measures. Following this, we will explore the Hamiltonian system and its associated Gibbs measures. The lecture will conclude with examples of linear and nonlinear finite-dimensional systems (both deterministic and stochastic) that preserve the Gibbs measure, offering valuable insights into the behaviour of their infinite-dimensional counterparts. In particular, these examples serve as prototypes for nonlinear Schrödinger equations, wave equations, and stochastic partial differential equations.
报告人简介：王玉昭，博士，英国伯明翰大学副教授, 博士生导师。 2005年获吉林大学数学与应用数学学士学位，2010年获北京大学数学博士学位。自2017年8月起在英国伯明翰大学任助理教授，副教授。王玉昭教授主要从事于无穷维动力系统，随机偏微分方程，调和分析的研究 —— 集中于无穷维动力系统的不变测度，随机波动方程的整体适定性相关问题
