动力系统与微分方程系列学术报告（四）：Symbolic extensions for 3-dimensional diffeomorphisms

讲座时间 Datetime: 

星期二, 2020/11/17 - 从 15:00 到 16:00

地点 Venue: 

腾讯会议 467 886 421

报告人 Speaker: 

廖刚 副教授

单位 Affiliation: 

苏州大学

报告摘要 Abstract: 

The coding of dynamical system is a way to simulate chaotic behavior by symbolic dynamics. We prove that every C^r diffeomorphism with r>1 on a three-dimensional manifold admits symbolic extensions, i.e. topological extensions which are subshifts over a finite alphabet. This answers positively a conjecture of Downarowicz and Newhouse in dimension three. This is a joint work with David Burguet.