Displaying similar documents to “Some continuity and approximation properties of a countable iterated function system.”

Invariant measures for iterated function systems

Tomasz Szarek (2000)

Annales Polonici Mathematici

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A new criterion for the existence of an invariant distribution for Markov operators is presented. Moreover, it is also shown that the unique invariant distribution of an iterated function system is singular with respect to the Hausdorff measure.

Stability of Markov processes nonhomogeneous in time

Marta Tyran-Kamińska (1999)

Annales Polonici Mathematici

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We study the asymptotic behaviour of discrete time processes which are products of time dependent transformations defined on a complete metric space. Our sufficient condition is applied to products of Markov operators corresponding to stochastically perturbed dynamical systems and fractals.