Iterations of Minkowski Valuations

Autor: Ortega-Moreno, Oscar
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