A Contractivity Condition for Iterated Function Systems |
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Authors: | Niclas Carlsson |
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Institution: | (1) Department of Mathematics, Åbo Akademi University, 20500 Åbo, Finland |
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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. |
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Keywords: | Markov processes invariant measures iterated function systems population models logistic map |
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