Quasisymmetries of the Basilica and the Thompson Group

We give a description of the group of all quasisymmetric self-maps of the Julia set of f ( z ) =  z 2 −1 that have orientation preserving homeomorphic extensions to the whole plane. More precisely, we prove that this group is the uniform closure of the group generated by the Thompson group of the un...

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Veröffentlicht in:	Geometric and functional analysis 2018-06, Vol.28 (3), p.727-754, Article 727
Hauptverfasser:	Lyubich, Mikhail, Merenkov, Sergei
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Cathedrals Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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