Analogues of Khintchine's theorem for random attractors

Simon Baker, Sascha Troscheit

Research output: Contribution to journalArticlepeer-review

50 Downloads (Pure)

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.
Original languageEnglish
JournalTransactions of the American Mathematical Society
Early online date2 Dec 2021
DOIs
Publication statusE-pub ahead of print - 2 Dec 2021

Fingerprint

Dive into the research topics of 'Analogues of Khintchine's theorem for random attractors'. Together they form a unique fingerprint.

Cite this