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...

Full description

Bibliographic Details

Main Author:	Baker, Simon
Format:	eBook Book
Language:	English
Published:	Providence, Rhode Island American Mathematical Society 2023
Edition:	1
Series:	Memoirs of the American Mathematical Society
Subjects:	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 Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!