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On self-similar sets with overlaps and inverse theorems for entropy in $ Mathbb{R}^{d}$
The author studies self-similar sets and measures on \mathbb{R}^{d}. Assuming that the defining iterated function system \Phi does not preserve a proper affine subspace, he shows that one of the following holds: (1) the dimension is equal to the trivial bound (the minimum of d and the similarity dim...
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| Lenguaje: | eng |
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American Mathematical Society
2020
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| Acceso en línea: | http://cds.cern.ch/record/2744822 |