Haynes, Alan orcid.org/0000-0001-6077-8162 and Koivusalo, Henna Lotta Louisa (2016) Constructing bounded remainder sets and cut-and-project sets which are bounded distance to lattices. Israel J. Math. pp. 189-201.
Abstract
For any irrational cut-and-project setup, we demonstrate a natural infinite family of windows which gives rise to separated nets that are each bounded distance to a lattice. Our proof provides a new construction, using a sufficient condition of Rauzy, of an infinite family of non-trivial bounded remainder sets for any totally irrational toral rotation in any dimension. Research supported by EPSRC grants EP/J00149X/1 and EP/L001462/1.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © Hebrew University of Jerusalem 2016. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details. |
Dates: |
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Institution: | The University of York |
Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) |
Funding Information: | Funder Grant number EPSRC EP/J00149X/2 EPSRC EP/L001462/2 |
Depositing User: | Pure (York) |
Date Deposited: | 14 Feb 2017 12:00 |
Last Modified: | 10 Apr 2025 23:08 |
Published Version: | https://doi.org/10.1007/s11856-016-1283-z |
Status: | Published |
Refereed: | Yes |
Identification Number: | 10.1007/s11856-016-1283-z |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:112237 |