Quasisymmetrically inequivalent hyperbolic Julia sets

We give explicit examples of pairs of Julia sets of hyperbolic rational maps which are homeomorphic but not quasisymmetrically homeomorphic.

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Revista matemática iberoamericana 2012-01, Vol.28 (4), p.1025-1034
Hauptverfasser:	Haïssinsky, Peter, Pilgrim, Kevin
Format:	Artikel
Sprache:	eng
Schlagworte:	Dynamical Systems Dynamical systems and ergodic theory Functions of a complex variable Group theory and generalizations Mathematics Measure and integration
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	We give explicit examples of pairs of Julia sets of hyperbolic rational maps which are homeomorphic but not quasisymmetrically homeomorphic.
ISSN:	0213-2230 2235-0616
DOI:	10.4171/RMI/701