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Aspects of the Fractal Percolation Process

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Fractal Geometry and Stochastics

Part of the book series: Progress in Probability ((PRPR,volume 37))

Abstract

The fractal percolation process is reviewed in selective detail. Most of the foundational results in the field are recapitulated, however in many cases, new techniques are brought into play to establish the results. In addition, there is a survey of some related models which, at present time, are the focus of much of the activity in the field. Finally, several new results are presented. Interspaced in these notes are a number of entry-level (open) problems. These range in difficulty from a weekend excursion to a full-blown research project.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of California, Los Angeles, California, 90095-1555, USA

    Lincoln Chayes

Authors
  1. Lincoln Chayes
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Editor information

Editors and Affiliations

  1. Fachbereich Mathematik und Informatik, Ernst-Moritz-Arndt-Universität, D-17487, Greifswald, Deutschland

    Christoph Bandt

  2. Fakultät für Mathematik und Informatik, Universität Passau, D-94030, Passau, Deutschland

    Siegfried Graf

  3. Fakultät für Mathematik und Informatik, Friedrich-Schiller-Universität, D-07740, Jena, Deutschland

    Martina Zähle

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© 1995 Springer Basel AG

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Chayes, L. (1995). Aspects of the Fractal Percolation Process. In: Bandt, C., Graf, S., Zähle, M. (eds) Fractal Geometry and Stochastics. Progress in Probability, vol 37. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7755-8_6

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  • DOI: https://doi.org/10.1007/978-3-0348-7755-8_6

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-7757-2

  • Online ISBN: 978-3-0348-7755-8

  • eBook Packages: Springer Book Archive

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