题目：Renormalization of Hénon maps
报告人：Sylvain Crovisier (Universite de Paris-Sud)
时间：2020/07/23 16:00-18:00
线上讲座，Zoom会议信息见下
报告摘要：For surface diffeomorphisms, a strictly positive entropy is associated with the existence of 'horseshoes'. I will focus on surface diffeomorphisms with zero entropy: can the dynamics of these 'simple' systems be described? how does it bifurcate to positive entropy systems? These questions will be discussed for a class of volume-contracting surface diffeomorphisms whose dynamics is intermediate between one-dimensional dynamics and general surface dynamics. It includes the dynamics of any Hénon diffeomorphism with Jacobian smaller than 1/4. De Carvalho, Lyubich and Martens have built a renormalization for the (real) Hénon maps with Jacobian close to 0 and described the boundary of the parameters with zero entropy. With E. Pujals and C. Tresser we extend some of these results up to Jacobian 1/4: any Hénon map with zero entropy can be renormalized. As a consequence, we obtained a two-dimensional version of Sharkovsky’s theorem about the set of periods of interval maps.
欢迎参加！
邀请人：动力系统与微分方程中心
Zoom会议信息：
主题：Talk_Sylvain Crovisier
时间：2020年7月23日 04:00 下午 北京，上海
加入 Zoom 会议
//zoom.com.cn/j/3141591122
会议 ID：314 159 1122