Dimensions and measures of quasi self-similar sets

K. J. Falconer

Source record

Source: Crossref

Published: Jun 1, 1989

DOI: 10.1090/s0002-9939-1989-0969315-8

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Source abstract

We show that sets with certain quasi self-similar properties have equal Hausdorff and box-packing dimensions and also have positive and finite Hausdorff measure at the dimensional value. A number of applications of these results to particular examples are given.

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