Manhattan property of geodesic paths on self-affine carpets (Q1660098)
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scientific article; zbMATH DE number 6924003
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Manhattan property of geodesic paths on self-affine carpets |
scientific article; zbMATH DE number 6924003 |
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Manhattan property of geodesic paths on self-affine carpets (English)
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23 August 2018
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The authors show that, unlike in the case of Bedford-McMullen self-affine carpets, the geodesic path on a self-similar carpet between point \((x_1,y_1)\) and \((x_2,y_2)\) does not have length \(L \geq |x_1-x_2|+|y_1-y_2|\).
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fractal
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self-affine carpet
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rectificable curve
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Manhattan distance
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0.8631786
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0.8550778
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0.84964776
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0.84749955
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0.84539175
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0.84382194
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