中国科学院数学与系统科学研究院
数学研究所
学术报告
动力系统研究中心
Speaker: 高延 教授（深圳大学）
Title: On the periodic connected components of the boundary of a fixed Fatou domain
Time&Venue: 2024.11.15 周五 9:30-10:30 & 腾讯会议：648-247-371
Abstract: Let U be a fixed attracting or parabolic Fatou domain of a rational map f. We are concerned with the dynamics of f on \partial U. In this talk, we investigate periodic connected components of \partial U. We prove that if E is a periodic connected component of \partial U and is locally connected, the map f:E\to E can be described by a circle-tree.
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