@article{article_716686, title={Hypercyclic operators for iterated function systems}, journal={Hacettepe Journal of Mathematics and Statistics}, volume={50}, pages={483–491}, year={2021}, DOI={10.15672/hujms.716686}, author={Salman, Mohammad and Das, Ruchi}, keywords={Iterated function systems, hypercyclic operators, sensitive operators, weakly mixing operators}, abstract={In this paper we introduce and study the notion of hypercyclicity for iterated function systems (IFS) of operators. We prove that for a linear IFS, hypercyclicity implies sensitivity and if an IFS is abelian, then hypercyclicity also implies multi-sensitivity and hence thick sensitivity. We also give some equivalent conditions for hypercyclicity as well as weakly mixing for an IFS of operators.}, number={2}, publisher={Hacettepe University}