Applications of a generalized metric in the analysis of iterated function systems

Niclas Carlsson ()

Economic Theory, 2003, vol. 23, issue 1, 73-84

Abstract: Iterated function systems make up an interesting class of stochastic processes which are useful for many types of stochastic modeling. In this paper we review and slightly generalize a contractivity condition guaranteeing uniqueness of invariant measures. Also, we examine how the invariant measure, and thus also the asymptotic behavior, of such a process is affected by perturbations of the defining functions and probabilities. Copyright Springer-Verlag Berlin/Heidelberg 2003

Keywords: Growth models; Iterated function systems; Invariant measures; Logistic map. (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1007/s00199-002-0341-4

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