On the open set condition for self-similar fractals-Reference-Cited by-同舟云学术

On the open set condition for self-similar fractals

Published:2005-10-06 Issue:5 Volume:134 Page:1369-1374
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Bandt Christoph,Hung Nguyen,Rao Hui

Abstract

For self-similar sets, the existence of a feasible open set is a natural separation condition which expresses geometric as well as measure-theoretic properties. We give a constructive approach by defining a central open set and characterizing those points which do not belong to feasible open sets.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2006-134-05/S0002-9939-05-08300-0/S0002-9939-05-08300-0.pdf

Reference6 articles.

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3. Dynamical boundary of a self-similar set;Morán, Manuel;Fund. Math.,1999

4. Additive functions of intervals and Hausdorff measure;Moran, P. A. P.;Proc. Cambridge Philos. Soc.,1946

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