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Rarefaction indices

Published online by Cambridge University Press:  26 February 2010

Claude Tricot Jr
Affiliation:
Université de Genève, 2–4, rue du Lièvre, Case postale 124, 1211 Genève24, Switzerland
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Extract

There are at least two indices used to measure the size of bounded sets of ℝn of zero measure—Hausdorff dimension (see [4] for a definition), and the density index [7].

Type
Research Article
Copyright
Copyright © University College London 1980

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References

1.Billingsley, P.. “Hausdorff dimension in probability theory II”, Illinois J. Math., 5 (1961), 291298.CrossRefGoogle Scholar
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4.Kahane, J.-P. and Salem, R.. Ensembles parfaits et séries trigonometriques (Hermann, Paris, 1963).Google Scholar
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6.Rogers, C. A.. Hausdorff measures (Cambridge University Press, 1970).Google Scholar
7.Tricot, C.. Sur la notion de densité (Cahiers du Département d'econométrie, Gèneve, 1973).Google Scholar