A lower bound for the dispersion on the torus

DOI10.1016/j.matcom.2015.12.005zbMath1482.11102arXiv1510.04617OpenAlexW2200643021MaRDI QIDQ1996949

Mario Ullrich

Publication date: 1 March 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.04617

zbMATH Keywords

dispersiontorusdiscrepancy

Mathematics Subject Classification ID

Irregularities of distribution, discrepancy (11K38)

Related Items (16)

Universal discretization ⋮ New bounds on the minimal dispersion ⋮ Minimal dispersion of large volume boxes in the cube ⋮ Deterministic constructions of high-dimensional sets with small dispersion ⋮ Connections between numerical integration, discrepancy, dispersion, and universal discretization ⋮ The area of empty axis-parallel boxes amidst 2-dimensional lattice points ⋮ An upper bound on the minimal dispersion ⋮ An Upper Bound of the Minimal Dispersion via Delta Covers ⋮ A note on the dispersion of admissible lattices ⋮ The minimal \(k\)-dispersion of point sets in high dimensions ⋮ On the fixed volume discrepancy of the Fibonacci sets in the integral norms ⋮ Expected dispersion of uniformly distributed points ⋮ Improved dispersion bounds for modified Fibonacci lattices ⋮ On the fixed volume discrepancy of the Korobov point sets ⋮ Smooth fixed volume discrepancy, dispersion, and related problems ⋮ A remark on the minimal dispersion

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• Global Stochastic Optimization with Low-Dispersion Point Sets
• Discrepancy Theory and Quasi-Monte Carlo Integration
• On irregularities of distribution

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