Analogues of Khintchine's theorem for random attractors

Simon Baker, Sascha Troscheit

Published 2020-10-14Version 1

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.