Dimensions and measures of quasi self-similar sets-Reference-Cited by-同舟云学术

Dimensions and measures of quasi self-similar sets

Published:1989 Issue:2 Volume:106 Page:543-554
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Falconer K. J.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1989-106-02/S0002-9939-1989-0969315-8/S0002-9939-1989-0969315-8.pdf

Reference9 articles.

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