On the open set condition for self-similar fractals
By Chstoph Bandt, N. V. Hung, Hui Rao. 2005
73 citations recorded by the source corpus.
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.
Subfields: Analytical Chemistry, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/9fd213cdd4604f3a31e6e686e585ec8569663ffc
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In Analytical Chemistry
In Mathematical Physics
Citations in the corpus
- Curvature measures and fractals (2008, methodology): “4 generated by 8 similarities Si each mapping the unit square [0, 1] 2 with contraction ratio 1 3 to one of the smaller outer squares.”