Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8906023 | Indagationes Mathematicae | 2018 | 17 Pages |
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
Dirk Frettlöh, Alexey Garber,