@article{29b390c52f7144079d39b93acc84fa6a,
title = "New bounds on the density of lattice coverings",
abstract = "We obtain new upper bounds on the minimal density of lattice coverings of by dilates of a convex body. We also obtain bounds on the probability (with respect to the natural Haar-Siegel measure on the space of lattices) that a randomly chosen lattice satisfies. As a step in the proof, we utilize and strengthen results on the discrete Kakeya problem.",
author = "Or Ordentlich and Oded Regev and Barak Weiss",
note = "Publisher Copyright: {\textcopyright} 2021 American Mathematical Society.",
year = "2022",
doi = "10.1090/JAMS/984",
language = "אנגלית",
volume = "35",
pages = "295--308",
journal = "Journal of the American Mathematical Society",
issn = "0894-0347",
publisher = "American Mathematical Society",
number = "1",
}