1112.1629 (Peter A. B. Pleasants et al.)

Entropy and diffraction of the $k$-free points in $n$-dimensional
lattices    [PDF]

Peter A. B. Pleasants, Christian Huck

We consider the $k$th-power-free points in $n$-dimensional lattices and explicitly calculate their entropies and diffraction spectra. This is of particular interest since these sets have holes of unbounded inradius.

View original: http://arxiv.org/abs/1112.1629