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Fractal Geometry and Stochastics II pp 109–123Cite as

Birkhäuser

Selfsimilar Fractals and Selfsimilar Random Fractals

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Part of the book series: Progress in Probability ((PRPR,volume 46))

Abstract

We survey the application of contraction mapping arguments to selfsimilar (nonrandom) fractal sets, measures and functions. We review the results for selfsimilar random fractal sets and measures and show how the method and extensions also work for selfsimilar random fractal functions.

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References

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Author information

Authors and Affiliations

  1. School of Mathematical Sciences, Australian National University, Canberra, ACT, 0200, Australia

    John E. Hutchinson

  2. Institut für Mathematische Stochastik, Universität Freiburg, Eckerstr. 1, D-79104, Freiburg, Germany

    Ludger Rüschendorf

Authors
  1. John E. Hutchinson
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  2. Ludger Rüschendorf
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Editor information

Editors and Affiliations

  1. Institut für Mathematik und Informatik, Ernst-Moritz-Arndt-Universität, Greifswald, 17487, Germany

    Christoph Bandt

  2. Fakultät für Mathematik und Informatik, Universität Passau, Passau, 94030, Germany

    Siegfried Graf

  3. Mathematisches Institut, Friedrich-Schiller-Universität, Jena, 07740, Germany

    Martina Zähle

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© 2000 Springer Basel AG

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Hutchinson, J.E., Rüschendorf, L. (2000). Selfsimilar Fractals and Selfsimilar Random Fractals. In: Bandt, C., Graf, S., Zähle, M. (eds) Fractal Geometry and Stochastics II. Progress in Probability, vol 46. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8380-1_5

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  • DOI: https://doi.org/10.1007/978-3-0348-8380-1_5

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9542-2

  • Online ISBN: 978-3-0348-8380-1

  • eBook Packages: Springer Book Archive

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