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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Dimensions and measures of quasi self-similar sets
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by K. J. Falconer
Proc. Amer. Math. Soc. 106 (1989), 543-554
DOI: https://doi.org/10.1090/S0002-9939-1989-0969315-8

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.
References
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Bibliographic Information
  • © Copyright 1989 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 106 (1989), 543-554
  • MSC: Primary 58F12; Secondary 28A75
  • DOI: https://doi.org/10.1090/S0002-9939-1989-0969315-8
  • MathSciNet review: 969315