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Analogues of Khintchine's theorem for random attractors.

Authors :
Baker, Simon
Troscheit, Sascha
Source :
Transactions of the American Mathematical Society. Feb2022, Vol. 375 Issue 2, p1411-1441. 31p.
Publication Year :
2022

Abstract

In this paper we study random iterated function systems. Our main result gives sufficient conditions for an analogue of a well known theorem due to Khintchine from Diophantine approximation to hold almost surely for stochastically self-similar and self-affine random iterated function systems. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*DIOPHANTINE approximation

Details

Language :
English
ISSN :
00029947
Volume :
375
Issue :
2
Database :
Academic Search Index
Journal :
Transactions of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
154825407
Full Text :
https://doi.org/10.1090/tran/8537