Remarks on limit sets of infinite iterated function systems

DOI10.1007/S00605-011-0357-6zbMath1272.28006OpenAlexW2050602086MaRDI QIDQ1762465

Martial R. Hille

Publication date: 27 November 2012

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-011-0357-6

zbMATH Keywords

invariant setlimit setHausdorff dimensioniterated function system

Mathematics Subject Classification ID

Fractals (28A80) Symbolic dynamics (37B10) Dynamical systems involving maps of the interval (37E05)

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Cites Work

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• Hausdorff measure of infinitely generated self-similar sets
• Multifractal formalism for infinite multinomial measures
• Teichmüller space for iterated function systems
• How to Transform and Filter Images Using Iterated Function Systems
• Dimensions and Measures in Infinite Iterated Function Systems
• Regularity properties of Hausdorff dimension in infinite conformal iterated function systems

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