Hausdorff measure and Assouad dimension of generic self-conformal IFS on the line

This paper considers self-conformal iterated function systems (IFSs) on the real line whose first level cylinders overlap. In the space of self-conformal IFSs, we show that generically (in topological sense) if the attractor of such a system has Hausdorff dimension less than 1 then it has zero appro...

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Veröffentlicht in:	Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2021-12, Vol.151 (6), p.2051-2081
Hauptverfasser:	Bárány, Balázs, Simon, Károly, Kolossváry, István, Rams, Michał
Format:	Artikel
Sprache:	eng
Schlagworte:	Cylinder liners Mathematics Self-similarity Topology
Online-Zugang:	Volltext
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