Mario Ullrich,
"A lower bound for the dispersion on the torus"
, in Math. Comput. Simulation, Nummer 143, Seite(n) 186-190, 2018
Original Titel:
A lower bound for the dispersion on the torus
Sprache des Titels:
Englisch
Original Kurzfassung:
We consider the volume of the largest axis-parallel box in the
$d$-dimensional torus that contains no point of a given point set
${\cal P}_n$ with $n$ elements. We prove that, for all natural numbers
$d,n$ and every point set ${\cal P}_n$, this volume is bounded from below by $min\{1,d/n\}$.This implies the same lower bound for the discrepancy on the torus.
Forschungs-