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Dimension functions of Cantor sets |
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| Authors: | Ignacio Garcia Ursula Molter Roberto Scotto |
| Affiliation: | Departamento de Matemática, Facultad de Ingeniería Química, Universidad Nacional del Litoral, Santa Fe, Argentina and IMAL CONICET UNL ; Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, Capital Federal, Argentina and CONICET, Argentina ; Departamento de Matemática, Universidad Nacional del Litoral, Santa Fe, Argentina |
| 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. |
| Keywords: | Cantor sets packing measure Hausdorff dimension dimension function |
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