English

Aperiodic linearly repetitive Delone sets are densely repetitive

Metric Geometry 2007-05-23 v1 Dynamical Systems

Abstract

We show that aperiodic linearly repetitive Delone sets are densely repetitive. This confirms a conjecture of Lagarias and Pleasants.

Keywords

Cite

@article{arxiv.math/0208132,
  title  = {Aperiodic linearly repetitive Delone sets are densely repetitive},
  author = {Daniel Lenz},
  journal= {arXiv preprint arXiv:math/0208132},
  year   = {2007}
}

Comments

3 pages

R2 v1 2026-07-22T16:47:10.032Z