Dimension functions of Cantor sets

  • Garcia I
  • Molter U
  • Scotto R
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Abstract

We estimate the packing measure of Cantor sets associated to nonincreasing 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. © 2007 American Mathematical Society.

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Garcia, I., Molter, U., & Scotto, R. (2007). Dimension functions of Cantor sets. Proceedings of the American Mathematical Society, 135(10), 3151–3161. https://doi.org/10.1090/s0002-9939-07-09019-3

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