Projects per year
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.
Research supported by EPSRC grants EP/J00149X/1 and EP/L001462/1.
Original language | English |
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Pages (from-to) | 189-201 |
Number of pages | 13 |
Journal | Israel J. Math |
Volume | 212 |
Issue number | 1 |
Early online date | 7 Jan 2016 |
DOIs | |
Publication status | Published - 1 May 2016 |
Bibliographical note
© 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.Projects
- 2 Finished
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Diophantine approximation, chromatic number, and equivalence classes of separated nets
10/10/13 → 9/07/15
Project: Research project (funded) › Research
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Career Acceleration Fellowship: Circle rotations and their generalisation in Diophantine approximation
1/10/13 → 30/09/16
Project: Research project (funded) › Research