A note on iterated function systems with discontinuous probabilities

Joanna Jaroszewska

Chaos, Solitons & Fractals, 2013, vol. 49, issue C, 28-31

Abstract: We consider an example of an iterated function system with discontinuous probabilities. We prove that it posses an invariant probability measure. We also prove that it is asymptotically stable provided probabilities are positive.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:49:y:2013:i:c:p:28-31

DOI: 10.1016/j.chaos.2013.01.012

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