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Dynamical Properties of k-Free Lattice Points

100%
Huck C., Baake M.
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vol. 126
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issue 2
482-485
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.
2
Content available remote

Recent Progress in Mathematical Diffraction

100%
Grimm U., Baake M.
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vol. 126
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issue 2
474-478
EN
A brief summary of recent developments in mathematical diffraction theory is given. Particular emphasis is placed on systems with aperiodic order and continuous spectral components. We restrict ourselves to some key results and refer to the literature for further details.
3
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Scaling of the Thue-Morse Diffraction Measure (Acta Physica Polonica A 125, 431 (2014)), ERRATUM

81%
Baake M., Grimm U., Nilsson J.
Acta Physica Polonica A
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2016
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vol. 129
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issue 6
1263
EN
In the proofreading stage we overlooked a number of typographical errors. (On-line version is correct, this erratum applies to printed version only.)
4
Content available remote

Scaling of the Thue-Morse Diffraction Measure

81%
Baake M., Grimm U., Nilsson J.
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vol. 126
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issue 2
431-434
EN
We revisit the well-known and much studied Riesz product representation of the Thue-Morse diffraction measure, which is also the maximal spectral measure for the corresponding dynamical spectrum in the complement of the pure point part. The known scaling relations are summarised, and some new findings are explained.
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