报告摘要：In this talk, I will present several results related to Lyapunov exponents, SRB measures, entropy, and horseshoes in the context of infinite-dimensional dynamical systems. I will also discuss recent work on the ergodicity and statistical dynamics of the 2D Navier-Stokes equation, driven by both time-dependent deterministic and stochastic forces. Additionally, I will explore the connection between SRB measures and turbulence. 

报告人简介：吕克宁教授是无穷维动力系统专家，曾任Brigham Young University和Michigan State University教授，现任四川大学教授，2005年获国家杰出青年科学基金（B类），2010年入选国家海外高层次人才计划，2017年获首届“张芷芬数学奖”，2020年入选AMS fellow，现任国际学术刊物JDE共同主编。他在不变流形和不变叶层，Sinai-Ruelle-Bowen测度，熵和Lyapunov指数以及随机动力系统的光滑共轭理论和随机偏微分方程的动力学方面做出了多个工作，相关论文发表在Inventiones mathematicae、Communications on Pure and Applied Mathematics、Memoirs of the American Mathematical Society、Annals of Probability等学术期刊上。