In this note we present a construction which improves the best known bound on the minimal dispersion of large volume boxes in the unit cube. Let d > 1. The dispersion of T subset of [0 , 1](d) is defined as the supremum of the volume taken over all axis parallel boxes in the cube which do not intersect T. The minimal dispersion of n points in the cube is defined as the infimum of the dispersion taken over all T such that |T| = n. Define the "large volume " regime as the class of all volumes 1/4 = Cr, where Cr is a positive constant which depends only on the volume r. (C) 2022 Elsevier Inc. All rights reserved.
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