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

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.

11 pages, 1 figure

References in corpus (1)

• Equivalence classes of codimension one cut-and-project nets