2 papers
math.MG2026
Curly Kakeya: The Hausdorff dimension of sets containing circles or line segments in many directions
Antonio Córdoba
In this paper, we establish a lower bound for the Hausdorff dimension of a set that contains a dilated and translated copy of every meridian, that is, of ev…
math.CO2024
On sets with missing differences in compact abelian groups
Pablo Candela, Fernando Chamizo, Antonio Córdoba
A much-studied problem posed by Motzkin asks to determine, given a finite set of integers, the so-called Motzkin density for , i.e., the supremum of upper densities of sets…