报告题目:On unstable entropy and preimage entropy
报告人:吴伟胜 副教授
主持人:糜泽亚 博士
报告地点:藕舫楼818室
报告时间:2020年1月3日上午10:00-11:00
报告摘要:Given a partially hyperbolic diffeomorphism, we introduce the notions ofunstable metric entropy and unstable topological entropy. These notions coincide with the entropy defined by Ledrappier-Young and unstable volume growth rate considered by Hua-Saghin-Xia respectively. A variational principle can be established which states that unstable topological entropy is the supremum of unstable metric entropy taken over all invariant measures. Other good properties such as upper semi-continuity of unstable entropy function can be obtained. We also a discuss relevant topic on preimage entropy and folding entropy.
报告人简介:吴伟胜,现为中国农业大学应用数学系副教授,2014年博士毕业于美国宾夕法尼亚州立大学,2014-2016北京大学博士后。研究方向为动力系统与遍历论。先后主持中国博士后科学基金特别资助项目和国家自然科学基金青年基金,在“Adv. Math.”,“Trans. Amer. Math. Soc.”,“Ergodic Theory Dynam. Systems”等学术期刊上发表论文十几篇。
数学与统计学院
2019年12月30日