Dynamical Properties of k-Free Lattice Points

• Authors: C. Huck , M. Baake
• Languages of publication: EN

Abstracts

EN

We revisit the visible points of a lattice in Euclidean n-space together with their generalisations, the k-th-power-free points of a lattice, and study the corresponding dynamical system that arises via the closure of the lattice translation orbit. Our analysis extends previous results obtained by Sarnak and by Cellarosi and Sinai for the special case of square-free integers and sheds new light on previous joint work with Peter Pleasants.

Keywords

EN

61.05.cc; 61.43.-j; 61.44.Br

Discipline

• 61.43.-j: Disordered solids(see also 81.05.Gc Amorphous semiconductors, 81.05.Kf Glasses, and 81.05.Rm Porous materials; granular materials in materials science; for photoluminescence of disordered solids, see 78.55.Mb and 78.55.Qr)
• 61.44.Br: Quasicrystals
• 61.05.cc: Theories of x-ray diffraction and scattering

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2014
• Volume: 126
• Issue: 2
• Pages: 482-485

Dates

published

2014-08

Contributors

author

C. Huck

• Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, 33501 Bielefeld, Germany

author

M. Baake

• Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, 33501 Bielefeld, Germany

References

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Identifiers

DOI

10.12693/APhysPolA.126.482