English

Pure Point Dynamical and Diffraction Spectra

Dynamical Systems 2009-10-27 v1 Mathematical Physics math.MP

Abstract

We show that for multi-colored Delone point sets with finite local complexity and uniform cluster frequencies the notions of pure point diffraction and pure point dynamical spectrum are equivalent.

Cite

@article{arxiv.0910.4809,
  title  = {Pure Point Dynamical and Diffraction Spectra},
  author = {Jeong-Yup Lee and Robert V. Moody and Boris Solomyak},
  journal= {arXiv preprint arXiv:0910.4809},
  year   = {2009}
}

Comments

16 pages

R2 v1 2026-06-21T14:03:11.746Z