The area of empty axis-parallel boxes amidst 2-dimensional lattice points

DOI10.1016/j.jco.2022.101724OpenAlexW4311761036MaRDI QIDQ2693685

Jaspar Wiart, Thomas Lachmann

Publication date: 24 March 2023

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.11222

zbMATH Keywords

dispersioncontinued fractionslattices

Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) Lattices and convex bodies (number-theoretic aspects) (11H06) Continued fractions (11A55) Lattice points in specified regions (11P21) Algebraic numbers; rings of algebraic integers (11R04) Lattices and convex bodies in (2) dimensions (aspects of discrete geometry) (52C05)

Cites Work

• On the dispersion of sparse grids
• A note on the dispersion of admissible lattices
• Improved dispersion bounds for modified Fibonacci lattices
• A lower bound for the dispersion on the torus
• Numerical performance of optimized Frolov lattices in tensor product reproducing kernel Sobolev spaces
• Dispersion of digital \((0,m,2)\)-nets
• 6. Fibonacci lattices have minimal dispersion on the two-dimensional torus
• How to find a battleship
• A comparison of dispersion and Markov constants
• Empty Axis-Parallel Boxes
• On dispersion and Markov constants
• Unnamed Item

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