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

Details Entropy and diffraction of the $k$-free points in $n$-dimensional lattices Entropy and diffraction of the $k$-free points in $n$-dimensional lattices

2011-12-07

arxiv.org/abs/1112.1629v1

Mathematics

Metric Geometry

27 pages, 2 figures

Scientific paper

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.

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