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- W2951853171 abstract "In this article, we develop the Yoccoz puzzle technique to study a family of rational maps termed McMullen maps. We show that the boundary of the immediate basin of infinity is always a Jordan curve if it is connected. This gives a positive answer to a question of Devaney. Higher regularity of this boundary is obtained in almost all cases. We show that the boundary is a quasi-circle if it contains neither a parabolic point nor a recurrent critical point. For the whole Julia set, we show that the McMullen maps have locally connected Julia sets except in some special cases." @default.
- W2951853171 created "2019-06-27" @default.
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- W2951853171 date "2012-04-09" @default.
- W2951853171 modified "2023-09-27" @default.
- W2951853171 title "Dynamics of McMullen maps" @default.
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