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arXiv · 1706.01089

Weighted $1\times1$ cut-and-project sets in bounded distance to a lattice

Dirk Frettlöh·Alexey Garber
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Abstract

Recent results of Grepstad and Lev are used to show that weighted cut-and-project sets with one-dimensional physical space and one-dimensional internal space are bounded distance equivalent to some lattice if the weight function $h$ is continuous on the internal space, and if $h$ is either piecewise linear, or twice differentiable with bounded curvature.

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Dirk Frettlöh, Alexey Garber. 2018-03-16. Weighted $1\times1$ cut-and-project sets in bounded distance to a lattice. https://doi.org/10.1007/s00454-018-0005-1

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