Overlapping Iterated Function Systems from the Perspective of Metric Number Theory

In this paper we develop a new approach for studying overlapping iterated function systems. This approach is inspired by a famous result due to Khintchine from Diophantine approximation which shows that for a family of limsup sets, their Lebesgue measure is determined by the convergence or divergenc...

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Bibliographische Detailangaben

1. Verfasser:	Baker, Simon
Format:	E-Book Buch
Sprache:	Englisch
Veröffentlicht:	Providence, Rhode Island American Mathematical Society 2023
Ausgabe:	1
Schriftenreihe:	Memoirs of the American Mathematical Society
Schlagworte:	Dynamics-Mathematical models Iterative methods (Mathematics) Number theory Overlapping iterated function systems self-similar measures Khintchine’s theorem
ISBN:	9781470464400, 1470464403
ISSN:	0065-9266, 1947-6221
Online-Zugang:	Volltext
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