Article ID Journal Published Year Pages File Type
8906023 Indagationes Mathematicae 2018 17 Pages PDF
Abstract
This paper uses a connection between bounded remainder sets in Rd and cut-and-project sets in R together with the fact that each one-dimensional Pisot substitution sequence is bounded distance equivalent to some lattice in order to construct several bounded remainder sets with fractal boundary. Moreover it is shown that there are cut-and-project sets being not bounded distance equivalent to each other even if they are locally indistinguishable, more precisely: even if they are contained in the same hull.
Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
Authors
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