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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Hlavný autor:	Baker, Simon
Médium:	E-kniha Kniha
Jazyk:	English
Vydavateľské údaje:	Providence, Rhode Island American Mathematical Society 2023
Vydanie:	1
Edícia:	Memoirs of the American Mathematical Society
Predmet:	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
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