Entropy and Diffraction of the k-Free Points in n-Dimensional Lattices

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Abstract

We consider the kth-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. © 2013 Springer Science+Business Media New York.

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Pleasants, P. A. B., & Huck, C. (2013). Entropy and Diffraction of the k-Free Points in n-Dimensional Lattices. Discrete and Computational Geometry, 50(1), 39–68. https://doi.org/10.1007/s00454-013-9516-y

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