Work

Minimal dispersion on the cube and the torus

Year: 2024

Type: article

Abstract: 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.

Source: Journal of Complexity

DOI: 10.1016/j.jco.2024.101883

Authors: A. Arman, A.E. Litvak

Institutions: University of Manitoba, University of Alberta

Language: English

Topic: Mathematical Approximation and Integration

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,290

Funders: University of Manitoba, University of Alberta, Deutsche Forschungsgemeinschaft, Leibniz-Gemeinschaft