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Invariant Measure Associated with a Generalized Countable Iterated Function System

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Abstract

Generalized countable iterated function systems (GCIFS) are an extension of countable iterated function systems by considering contractions from X × X into X instead of contractions on the compact metric space X into itself. For a GCIFS endowed with a system of probabilities we associate an invariant and normalized Borel measure whose support is just the attractor of the respective GCIFS, extending the classical Hutchinson’s construction.

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  1. Department of Mathematics, Lucian Blaga University of Sibiu, str. Dr. Ion Ratiu, nr. 5-7, 550012, Sibiu, Romania

    Nicolae Adrian Secelean

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  1. Nicolae Adrian Secelean
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Correspondence to Nicolae Adrian Secelean.

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Secelean, N.A. Invariant Measure Associated with a Generalized Countable Iterated Function System. Mediterr. J. Math. 11, 361–372 (2014). https://doi.org/10.1007/s00009-013-0300-2

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  • DOI: https://doi.org/10.1007/s00009-013-0300-2

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