Entropy and Diffraction of the k-Free Points in n-Dimensional Lattices |
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Authors: | Peter A B Pleasants Christian Huck |
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Institution: | 1. Department of Mathematics, University of Queensland, Brisbane, QLD, 4072, Australia 2. Fakult?t für Mathematik, Universit?t Bielefeld, Postfach 100131, Bielefeld, Germany
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Abstract: | We consider the $k$ k th-power-free points in $n$ 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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