Squiral diffraction

Uwe Grimm; Michael Baake

doi:10.1007/978-94-007-6431-6_2

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arXiv · 1211.5471

Squiral diffraction

Uwe Grimm·Michael Baake

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Abstract

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.

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Uwe Grimm, Michael Baake. 2012-11-23. Squiral diffraction. https://doi.org/10.1007/978-94-007-6431-6_2

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