Discrepancy of high-dimensional permutations
Discrepancy of high-dimensional permutations
Discrepancy of high-dimensional permutations, Discrete Analysis 2016:11, 8pp. A permutation matrix is a (necessarily square) 01-matrix with exactly one 1 in each row and column. A three-dimensional analogue of a permutation matrix is a three-dimensional grid of 0s and 1s -- more formally, a function $f:\{1,2,\dots,n\}^3\to\{0,1\}$ -- such that for …