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The Optimal Scaling Parameter in Metric Cotype for Alexandrov Spaces of Nonnegative Curvature
We determine the optimal order of the scaling parameter in the metric cotype $2$ inequality for complete Alexandrov spaces of nonnegative curvature. It grows linearly with the dimension $n$ of the discrete torus. This answers Question 17 of Eskenazis, Mendel, and Naor. In their sign-vector normaliza
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