Iterations of Minkowski valuations (Q2692705)
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scientific article; zbMATH DE number 7667107
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Iterations of Minkowski valuations |
scientific article; zbMATH DE number 7667107 |
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Iterations of Minkowski valuations (English)
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22 March 2023
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Considering a sufficiently smooth homogeneous valuation \(Phi\) that intertwines rigid motions and a convex body \(K\) in a smooth neighborhood of the unit ball \(B^n\) of \(\mathbb{R}^n\), the author proves the existence of a sequence of positive reals \(\{\gamma_m\}\) such that \(\{\gamma_m\Phi^{m}K\}\) Hausdorff converges to \(B_n\).
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convex geometry
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projection body
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valuation theory
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Minkowski valuations
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