Squiral Diffraction
Squiral Diffraction
The Thue-Morse system is a paradigm of singular continuous diffraction in one dimension. Here, we consider a planar system, constructed by a bijective block substitution rule, which is locally equivalent to the squiral inflation rule. For balanced weights, its diffraction is purely singular continuous. The diffraction measure is a two-dimensional Riesz product that can be calculated explicitly.
6 pages. 4 figures; talk presented at Aperiodic 2012 (Cairns). For a full mathematical treatment see arXiv:1205.1384
- Bielefeld University Germany
- The Open University United Kingdom
52C23, 37B50, 78A45, FOS: Physical sciences, Disordered Systems and Neural Networks (cond-mat.dis-nn), Mathematical Physics (math-ph), Condensed Matter - Disordered Systems and Neural Networks, Mathematical Physics
52C23, 37B50, 78A45, FOS: Physical sciences, Disordered Systems and Neural Networks (cond-mat.dis-nn), Mathematical Physics (math-ph), Condensed Matter - Disordered Systems and Neural Networks, Mathematical Physics
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