Topological Bragg Peaks and How They Characterise Point Sets |
| J. Kellendonk
Université de Lyon, Université Claude Bernard Lyon 1, Institute Camille Jordan, CNRS UMR 5208, 69622 Villeurbanne, France |
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| The positions of the Bragg peaks in point set diffraction show up as eigenvalues of a dynamical system. Topological Bragg peaks arise 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. |
DOI: 10.12693/APhysPolA.126.497 PACS numbers: 61.44.Br |