报告题目：Nonhyperbolic ergodic measures

报告人：张金华 副教授 北京航空航天大学

报告时间：2025年8月21日 10：00am - 11:00am

报告地点：数学楼201

报告摘要：Hyperbolic dynamics are considered as well understood from the ergodic viewpoint, however such systems are not typical. Shub, Mane, Bonatti, Diaz et al built many robustly transitive non-hyperbolic systems, and these systems exhibit some hyperbolicity called partial hyperbolicity. We would like to characterize these examples from ergodic viewpoint, and thus it is inevitable to discuss non-hyperbolic ergodic measures. We will talk about the prevalence of non-hyperbolic ergodic measures and how such measures are embedded into the set of ergodic measures. This also allows us to discuss the Lyapunov spectrum. This talk is based on joint works with C.Bonatti, L.Diaz, K. Gelfert, M. Rams, D. Yang.

报告人简介：张金华，北京航空航天大学数学科学娱乐城准聘副教授。2017年博士毕业于北京大学数学科学娱乐城和法国勃艮第大学数学所，师从文兰院士和Christian Bonatti (CNRS研究员)，曾于巴黎萨克雷大学从事博士后研究，合作导师Sylvain Crovisier(CNRS研究员，欧洲科娱乐城院士)。研究领域为微分动力系统，研究成果分别发表在Comm. Math. Phys., Math.Ann., Comment. Math. Helv., Trans. Amer. Math. Soc., Ergodic Theory Dynam. Systems 等国际学术期刊上, 主持国家自然科学基金青年科学基金项目和面上项目各一项，参与两项科技部重点研发专项。