Improved dispersion bounds for modified Fibonacci lattices
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Publication:1996888
DOI10.1016/j.jco.2020.101522zbMath1472.11215arXiv2007.02297OpenAlexW3092183221MaRDI QIDQ1996888
Jaspar Wiart, Ralph Kritzinger
Publication date: 26 February 2021
Published in: Journal of Complexity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.02297
Combinatorial aspects of finite geometries (05B25) Combinatorial geometries and geometric closure systems (51D20) Irregularities of distribution, discrepancy (11K38)
Related Items (3)
The area of empty axis-parallel boxes amidst 2-dimensional lattice points ⋮ Piercing all translates of a set of axis-parallel rectangles ⋮ Piercing all translates of a set of axis-parallel rectangles
Cites Work
- Fibonacci sets and symmetrization in discrepancy theory
- Efficient construction of a small hitting set for combinatorial rectangles in high dimension
- A note on minimal dispersion of point sets in the unit cube
- On the dispersion of sparse grids
- An upper bound on the minimal dispersion
- Quasi-Monte-Carlo methods and the dispersion of point sequences
- On the largest empty axis-parallel box amidst \(n\) points
- A lower bound for the dispersion on the torus
- On the size of the largest empty box amidst a point set
- The L 2 Discrepancy of Two-Dimensional Lattices
- Optimal Point Sets for Quasi-Monte Carlo Integration of Bivariate Periodic Functions with Bounded Mixed Derivatives
- 6. Fibonacci lattices have minimal dispersion on the two-dimensional torus
- How to find a battleship
- An Upper Bound of the Minimal Dispersion via Delta Covers
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