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The Minkowski grid has robustly many repeated distances
Sungchul Lee, Cosmin Pohoata, Daniel G. Zhu
We show that there exists a constant such that for any positive integer there exists a set of points with the following property: for every…
Deterministic Metric Distortion of Top-2 Voting
Alec Sun, Daniel Zhu
We give tight bounds on the metric distortion of top-2 deterministic voting mechanisms. We first exploit the restrictive structure of top-2 voting to reduce the space of worst-case…
Schur complements for tensors and multilinear commutative rank
Guy Moshkovitz, Daniel G. Zhu
We show that three notions of rank for matrices of multilinear forms are equivalent. This result generalizes a classical result of Flanders, corrects a minor hole in work of Fortin…
A Halász-type theorem for permutation anticoncentration
Zach Hunter, Cosmin Pohoata, Daniel G. Zhu
Given a set of real numbers and real coefficients , consider the distribution of the sum obtained by pairing the 's with the 's acc…