Minkowski content and local Minkowski content for a class of self-conformal sets (Q438947)
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scientific article; zbMATH DE number 6062602
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Minkowski content and local Minkowski content for a class of self-conformal sets |
scientific article; zbMATH DE number 6062602 |
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Minkowski content and local Minkowski content for a class of self-conformal sets (English)
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31 July 2012
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The authors study local Minkowski measurability of \(C^{1+\alpha}\) images of self-similar sets. They show that local Minkowski measurability of a self-similar set \(K\) implies local Minkowski measurability of its image \(F\) and give an explicit formula for the local Minkowski content in this case. They give a counterexample to show that the converse does not hold in general.
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Minkowski content
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conformal iterated function system
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self-conformal set
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fractal curvature measures
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