A remark on the minimal dispersion

2020/05/25 by Alexander E. Litvak, Litvak, A. E. · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #52A23 (Primary) 68Q25 #52B55 #65Y20 (Secondary) #Classical Analysis and ODEs (math.CA) #Electromagnetic Scattering and Analysis #FOS: Mathematics #Machine Learning and Algorithms #Mathematical Approximation and Integration

paper · pdf · doi:10.48550/arxiv.2005.12243

openalex publication_date 2020/05/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We improve known upper bounds for the minimal dispersion of a point set in the unit cube and its inverse in both the periodic and non-periodic settings. Some of our bounds are sharp up to logarithmic factors.

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