Some comments on the inverse problem of pure point diffraction

2012/10/12 by Venta Terauds, Terauds, Venta, Michael Baake +1
Materials Science · Mathematics · Physics and Astronomy · #42A38 #52C23 #FOS: Mathematics #FOS: Physical sciences #History and Theory of Mathematics #Mathematical Physics (math-ph) #Quasicrystal Structures and Properties #Spectral Theory (math.SP) #X-ray Diffraction in Crystallography #math-ph #math.MP #math.SP #msc:42A38 #msc:52C23

paper · pdf · doi:10.48550/arxiv.1210.3460

6 pages, contribution to Aperiodic 2012

arxiv created 2012/10/12 · openalex publication_date 2012/10/12 · arxiv updated 2012/10/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In a recent paper, Lenz and Moody (arXiv:1111.3617) presented a method for constructing families of real solutions to the inverse problem for a given pure point diffraction measure. Applying their technique and discussing some possible extensions, we present, in a non-technical manner, some examples of homometric structures.

Citations

• Stationary processes with pure point diffraction

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• Stationary processes and pure point diffraction