Dimension functions of Cantor sets

Garcia, Ignacio; Molter, Ursula; Scotto, Roberto

doi:10.1090/S0002-9939-07-09019-3

Dimension functions of Cantor sets
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by Ignacio Garcia, Ursula Molter and Roberto Scotto

Proc. Amer. Math. Soc. 135 (2007), 3151-3161

DOI: https://doi.org/10.1090/S0002-9939-07-09019-3

Published electronically: June 21, 2007

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Abstract:

We estimate the packing measure of Cantor sets associated to non-increasing sequences through their decay. This result, dual to one obtained by Besicovitch and Taylor, allows us to characterize the dimension functions recently found by Cabrelli et al for these sets.

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