Generalized Iterated Function Systems with Place Dependent Probabilities
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.
markov operator hutchinson measure generalized iterated function system with probabilities 28a80 37c70 54h25