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

preprint2013arXivOpen access

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

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Entropy and diffraction of the kkk-free points in nnn-dimensional lattices

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