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Random dynamical systems arising from iterated function systems with place-dependent probabilities

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  • Kwiecinska, Anna A.
  • Slomczynski, Wojciech

Abstract

We show that if an iterated function system with place-dependent probabilities admits an invariant and attractive measure, then it has the structure of a random dynamical system (in the sense of Ludwig Arnold).

Suggested Citation

  • Kwiecinska, Anna A. & Slomczynski, Wojciech, 2000. "Random dynamical systems arising from iterated function systems with place-dependent probabilities," Statistics & Probability Letters, Elsevier, vol. 50(4), pages 401-407, December.
    • Handle: RePEc:eee:stapro:v:50:y:2000:i:4:p:401-407
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    Cited by:

    1. La Torre Davide & Rocca Matteo, 2002. "Approximating continuous functions by iterated function systems and optimization problems," Economics and Quantitative Methods qf0206, Department of Economics, University of Insubria.
    2. Stefano Maria Iacus & Davide La Torre, 2002. "Approximating distribution functions by iterated function systems," Departmental Working Papers 2002-03, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano.
    3. Davide La Torre & Matteo Rocca, 2002. "Approximating continuous functions by iterated function system and optimization," Departmental Working Papers 2002-11, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano.

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