Entropy and diffraction of the $k$-free points in $n$-dimensional   lattices
  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. 
Peter A. B. Pleasants, Christian Huck
math.MG math-ph math.MP math.NT