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On the open set condition for self-similar fractals |
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| Authors: | Christoph Bandt Nguyen Viet Hung Hui Rao |
| Affiliation: | Institute for Mathematics, Arndt University, 17487 Greifswald, Germany ; Institute for Mathematics, Arndt University, 17487 Greifswald, Germany ; Department of Mathematics, Tsinghua University, P.O. Box 100084, Beijing, People's Republic of China |
| 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. |
| Keywords: | Self-similar fractals iterated function system |
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