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math.MG2019
Pure point measures with sparse support and sparse Fourier--Bohr support
Michael Baake, Nicolae Strungaru, Venta Terauds
Fourier-transformable Radon measures are called doubly sparse when both the measure and its transform are pure point measures with sparse support. Their structure is reasonably wel…
math.MG2019
Fourier transform of Rauzy fractals and point spectrum of 1D Pisot inflation tilings
Michael Baake, Uwe Grimm
Primitive inflation tilings of the real line with finitely many tiles of natural length and a Pisot--Vijayaraghavan unit as inflation factor are considered. We present an approach…
math.MG2019
Scaling of diffraction intensities near the origin: Some rigorous results
Michael Baake, Uwe Grimm
The scaling behaviour of the diffraction intensity near the origin is investigated for (partially) ordered systems, with an emphasis on illustrative, rigorous results. This is an e…