Minimal dispersion on the cube and the torus

التفاصيل البيبلوغرافية
العنوان: Minimal dispersion on the cube and the torus
المؤلفون: Arman, Andrii, Litvak, Alexander E.
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Metric Geometry, 52B55, 52A23, 68Q25, 65Y20
الوصف: We improve some upper bounds for minimal dispersion on the cube and torus. /Our new ingredient is an improvement of a probabilistic lemma used to obtain upper bounds for dispersion in several previous works. Our new lemma combines a random and non-random choice of points in the cube. This leads to better upper bounds for the minimal dispersion.
Comment: 10 pages, 1 figure
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2406.02757
رقم الأكسشن: edsarx.2406.02757
قاعدة البيانات: arXiv