On the cycles of components of disconnected Julia sets

For any integers d ≥ 3 and n ≥ 1 , we construct a hyperbolic rational map of degree d such that it has n cycles of the connected components of its Julia set except single points and Jordan curves.

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Bibliographische Detailangaben
Veröffentlicht in:	Mathematische annalen 2021-10, Vol.381 (1-2), p.971-1003
Hauptverfasser:	Cui, Guizhen, Peng, Wenjuan
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	For any integers d ≥ 3 and n ≥ 1 , we construct a hyperbolic rational map of degree d such that it has n cycles of the connected components of its Julia set except single points and Jordan curves.
ISSN:	0025-5831 1432-1807
DOI:	10.1007/s00208-020-02073-7