A Contractivity Condition for Iterated Function Systems

Niclas Carlsson ()
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Niclas Carlsson: Åbo Akademi University

Journal of Theoretical Probability, 2002, vol. 15, issue 3, 613-630

Abstract: Abstract We prove a condition for long-term contractivity and the existence of a unique invariant measure for iterated function systems. We also give an intuitive interpretation of the condition in terms of weighted derivatives and weighted Wasserstein metrics. We use our condition in order to show some results for stochastic population models based on the logistic and Ricker maps.

Keywords: Markov processes; invariant measures; iterated function systems; population models; logistic map (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1023/A:1016215831096

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