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A survey of average contractive iterated function systems
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Mathematical Statistics.
2012 (English)In: Journal of difference equations and applications (Print), ISSN 1023-6198, Vol. 18, no 8, 1355-1380 p.Article in journal (Refereed) Published
Abstract [en]

Iterated function systems (IFSs) are useful for creating fractals, interesting probability distributions and enable a unifying framework for analysing stochastic processes with Markovian properties. In this paper, we present a survey of some basic results within the theory of random iterations of functions from an IFS based on average contraction conditions.

Place, publisher, year, edition, pages
2012. Vol. 18, no 8, 1355-1380 p.
Keyword [en]
Markov chains, iterated function systems, fractals, coupling from the past
National Category
URN: urn:nbn:se:uu:diva-180299DOI: 10.1080/10236198.2011.610793ISI: 000306746300007OAI: oai:DiVA.org:uu-180299DiVA: diva2:549058
Available from: 2012-09-03 Created: 2012-09-03 Last updated: 2012-09-03Bibliographically approved

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Stenflo, Örjan
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Mathematical Statistics
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