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SELF-SIMILARITY AND PROBABILITY: PARAMETERS DESCRIBING THE GEOMETRY OF CANTOR SETS

Published online by Cambridge University Press:  01 March 1999

CHRISTOPH BANDT
CHRISTOPH BANDT
Affiliation:
Institut für Mathematik und Informatik, Arndt-Universität, 17487 Greifswald, Germany
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Abstract

A deterministic self-similar Cantor set F defines a natural probability space, the elements of which are neighbourhoods of various sizes of all points in F. Considering random variables on this probability space, some porosity and density parameters are explicitly calculated.

Type
Notes and Papers
Information
Bulletin of the London Mathematical Society , Volume 31 , Issue 2 , March 1999 , pp. 181 - 190
Copyright
© The London Mathematical Society 1999

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