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- W2231736279 abstract "We prove in this paper that, given a countable and dense set of directions $$Usubset {mathbb {R}}^N$$ , it can be ordered in such a way that if we iterate the Steiner symmetrization of any compact set K in that order, the sequence of Steiner symmetrizations of K converges in the Hausdorff distance to the ball $$K^*$$ centered at the origin and having the same volume as K. This result provides a generalization of a theorem from Bianchi et al. (Adv Appl Math 47:869–873, 2011) in two directions. On the one hand, the seed of the iteration is allowed to be compact rather than just convex, and on the other hand, the ordering of U is universal and does not depend on the seed." @default.
- W2231736279 created "2016-06-24" @default.
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- W2231736279 date "2015-11-03" @default.
- W2231736279 modified "2023-10-03" @default.
- W2231736279 title "On iterations of Steiner symmetrizations" @default.
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- W2231736279 doi "https://doi.org/10.1007/s10231-015-0539-2" @default.
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