Monday, November 26, 2012

1211.5471 (Uwe Grimm et al.)

Squiral diffraction    [PDF]

Uwe Grimm, Michael Baake
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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