Generalized Iterated Function Systems with Place Dependent Probabilities

@article{Miculescu2014GeneralizedIF,
  title={Generalized Iterated Function Systems with Place Dependent Probabilities},
  author={Radu Miculescu},
  journal={Acta Applicandae Mathematicae},
  year={2014},
  volume={130},
  pages={135-150}
}
In the present paper we introduce the concept of generalized iterated function system with place dependent probabilities (GIFSpdp). In this framework, we provide sufficient conditions under which the Markov operator associated to a GIFSpdp is Lipschitz. We also prove, under certain conditions, the existence of an analogue of Hutchinson measure associated to a GIFSpdp and study its properties.