Projects per year
Abstract
We prove that in any totally irrational cutandproject setup with codimension (internal space dimension) one, it is possible to choose sections (windows) in nontrivial ways so that the resulting sets are bounded displacement equivalent to lattices. Our proof demonstrates that for any irrational α, regardless of Diophantine type, there is a collection of intervals in R/Z which is closed under translation, contains intervals of arbitrarily small length, and along which the discrepancy of the sequence {nα} is bounded above uniformly by a constant.
Original language  English 

Pages (fromto)  816831 
Number of pages  16 
Journal  Ergodic Theory and Dynamical Systems 
Volume  36 
Issue number  3 
Early online date  11 Nov 2014 
DOIs  
Publication status  Published  2015 
Projects
 2 Finished

Diophantine approximation, chromatic number, and equivalence classes of separated nets
10/10/13 → 9/07/15
Project: Research project (funded) › Research

Career Acceleration Fellowship: Circle rotations and their generalisation in Diophantine approximation
1/10/13 → 30/09/16
Project: Research project (funded) › Research