报告题目:Mean dimension and Bernstein spaces
报告人:乔艺晓 (华南师范大学437ccm必赢国际首页欢迎您)
报告时间:2021年1月15日(星期五)下午14:30-15:30
报告地点:腾讯视频会议(线上)
会议 ID:504 627 418会议密码:210115
校内联系人:江永乐 联系电话:84708351-8209
报告摘要:Mean dimension is a newly emerging topological invariant of dynamical systems, which originates with Misha Gromov around 2000 with a view towards geometric analysis, and which is closely connected to the embedding problem. I will present in my talk a brief introduction to mean dimension and recent progress of the embedding problem. Further, as well as giving the exact value of their mean dimension I shall provide complete classification, under the action of translation, for Bernstein spaces, which were heavily used in signal analysis and which have deep application to the embedding problem.
报告人简介:乔艺晓,女,现任华南师范大学特聘副研究员;2018年分别获得中国科学技术大学和波兰科学院数学研究所 (IMPAN) 基础数学博士学位。其研究方向是拓扑动力系统,尤其是平均维数 (mean dimension) 理论中的一些基本问题以及与其相关的动力学嵌入问题;研究论文发表于 GAFA, ETDS, Fund. Math., Nonlinearity, JDE 等学术期刊,曾担任 Trans. Amer. Math. Soc., ETDS, DCDS-A, Acta Math. Sinica 等学术期刊审稿人。