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math.MG2026
Isoperimetric Inequalities in the cube and torus
Ben Baker, Joseph Briggs, Manuel Fernandez +1
We prove an exact isoperimetric inequality for cubes and tori under the $\ell_{\infty} metric. As a corollary, we recover the celebrated grid edge-isoperimetric inequality of Bollo…
math.CO2026
A finite victory over de Bruijn-Erdős in interval discrepancy
Jared DeLeo, Owen Henderschedt, Chris Wells
We study a finite form of the classical interval discrepancy problem. Starting from the unit interval, one repeatedly splits an existing interval into two until intervals have…
math.DG2026
A discrete view of Gromov's filling area conjecture
Joseph Briggs, Chris Wells
A compact metric surface isometrically fills a closed metric curve if and for every ; that is, does not introduc…