Bounded remainder sets for rotations on the adelic torus
Dynamical Systems
2019-04-02 v2 Number Theory
Abstract
In this paper we give an explicit construction of bounded remainder sets of all possible volumes, for any irrational rotation on the adelic torus . Our construction involves ideas from dynamical systems and harmonic analysis on the adeles, as well as a geometric argument which originated in the study of deformation properties of mathematical quasicrystals.
Cite
@article{arxiv.1803.10559,
title = {Bounded remainder sets for rotations on the adelic torus},
author = {Joanna Furno and Alan Haynes and Henna Koivusalo},
journal= {arXiv preprint arXiv:1803.10559},
year = {2019}
}
Comments
13 pages