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arXiv · 2602.02889

Chebyshev centers and radius of the set of permutons

Balázs Maga
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Abstract

We study the metric geometry of the set of permutons under the rectangular distance $d_{\square}$. We determine the Chebyshev radius to be 1/4 and characterize all Chebyshev centers: a permuton is a center if and only if it is 1/2- periodic in each coordinate. We also describe permutons that attain the extremal distance 1/4 from a given center.

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Balázs Maga. 2026-05-19. Chebyshev centers and radius of the set of permutons. https://arxiv.org/abs/2602.02889

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