Baake, Michael and Grimm, Uwe
Diffraction of limit periodic point sets.
Philosophical Magazine, 91(19-21),
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Limit periodic point sets are aperiodic structures with pure point diffraction supported on a countably, but not finitely generated Fourier module that is based on a lattice and certain integer multiples of it. Examples are cut and project sets with p-adic internal spaces. We illustrate this by explicit results for the diffraction measures of two examples with 2-adic internal spaces. The first and well-known example is the period doubling sequence in one dimension, which is based on the period doubling substitution rule. The second example is a weighted planar point set that is derived from the classic chair tiling in the plane. It can be described as a fixed point of a block substitution rule.
||2011 Taylor & Francis
||Leverhulme Trust (Visiting Professorship Michael Baake)
||diffraction; autocorrelation; limit periodicity; substitution systems; integer inflation factors; pure point measures
||Mathematics, Computing and Technology > Mathematics and Statistics
||18 May 2011 12:41
||30 Nov 2012 16:52
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