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Fractal Geometry and Stochastics IV pp 269–284Cite as

Random Cantor Sets and Their Projections

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Part of the book series: Progress in Probability ((PRPR,volume 61))

Abstract

We discuss two types of random Cantor sets, M-adic random Cantor sets, and Larsson’s random Cantor sets. We will discuss the properties of their ninety and fortyfive degree projections, and for both we give answers to the question whether the algebraic difference of two independent copies of such sets will contain an interval or not.

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Author information

Authors and Affiliations

  1. Delft Institute of Applied Mathematics, Technical University of Delft, The Netherlands

    Michel Dekking

Authors
  1. Michel Dekking
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Editor information

Editors and Affiliations

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

    Christoph Bandt

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

    Martina Zähle

  3. Department of Mathematical Sciences, University of Bath, Bath, BA2 7AY, UK

    Peter Mörters

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© 2009 Birkhäuser Verlag Basel/Switzerland

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Dekking, M. (2009). Random Cantor Sets and Their Projections. In: Bandt, C., Zähle, M., Mörters, P. (eds) Fractal Geometry and Stochastics IV. Progress in Probability, vol 61. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0030-9_10

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