Analogues of Khintchine's theorem for random attractors
Dynamical Systems
2020-10-15 v1 Metric Geometry
Number Theory
Probability
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.
Keywords
Cite
@article{arxiv.2010.07197,
title = {Analogues of Khintchine's theorem for random attractors},
author = {Simon Baker and Sascha Troscheit},
journal= {arXiv preprint arXiv:2010.07197},
year = {2020}
}