Iterations of Minkowski Valuations
Autor: | Ortega-Moreno, Oscar |
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Rok vydání: | 2021 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | It is shown that for any sufficiently regular even Minkowski valuation $\Phi$ which is homogeneous and intertwines rigid motions, and for any convex body $K$ in a smooth neighborhood of the unit ball, there exists a sequence of positive numbers $(\gamma_m)_{m=1}^\infty$ such that $(\gamma_m\Phi^m K)_{m=1}^\infty$ converges to the unit ball with respect to the Hausdorff metric. |
Databáze: | arXiv |
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