Generalized Iterated Function Systems with Place Dependent Probabilities

  • Authors:

  • Radu Miculescu

  • Affiliations:

  • Mathematics Department, Bucharest University, Bucharest, Romania 010014

  • Venue:
  • Acta Applicandae Mathematicae: an international survey journal on applying mathematics and mathematical applications
  • Year:
  • 2014

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Abstract

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.