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Topological Bragg Peaks And How They Characterise Point Sets

Mathematical Physics 2023-07-19 v1 math.MP

Abstract

Bragg peaks in point set diffraction show up as eigenvalues of a dynamical system. Topological Bragg peaks arrise from topological eigenvalues and determine the torus parametrisation of the point set. We will discuss how qualitative properties of the torus parametrisation characterise the point set.

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Cite

@article{arxiv.1309.7632,
  title  = {Topological Bragg Peaks And How They Characterise Point Sets},
  author = {Johannes Kellendonk},
  journal= {arXiv preprint arXiv:1309.7632},
  year   = {2023}
}

Comments

Article for the Proceedings of the ICQ12