题目：On the Minimal Dispersion

报告人：Prof. Alexander Litvak（University of Alberta）

地点：致远楼101室

时间：2026年6月4日 星期四 09：50-10：35

Abstract：Given integers $n$ and $d \geq 1$, what is the supremum over all $v>0$ such that for any $n$ points in the unit $d$-dimensional cube $[0, 1]^d$ there exists an axis-parallel box of volume $v$ containing none of these points? This parameter is called the minimal dispersion. We discuss known lower and upper bounds and provide some proofs for upper bounds. We also discuss similar problems on the torus and on the sphere. The talk is partially based on joint works with A. Arman, with G. Livshyts and with M. Sonnleitner and T. Szczepanski.

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