4 papers
A finite victory over de Bruijn-ErdÅs 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…
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…
Phase transitions in isoperimetric problems on the integers
Joseph Briggs, Chris Wells
Barber and Erde asked the following question: if generates as an additive group, then must the extremal sets for the vertex/edge-isoperimetric inequality on the C…
Frogs, hats and common subsequences
Joseph Briggs, Alex Parker, Coy Schwieder +1
Write to mean the -letter word obtained by repeating a fixed word and let denote a uniformly random -letter word sampled from the same alphabet as . We…