88 citations · 1.6k across the 104 of their papers we have counts for
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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…
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…
On the notions of symmetry and aperiodicity for Delone sets
Michael Baake, Uwe Grimm
Non-periodic systems have become more important in recent years, both theoretically and practically. Their description via Delone sets requires the extension of many standard conce…
Homometric Point Sets and Inverse Problems
Uwe Grimm, Michael Baake
The inverse problem of diffraction theory in essence amounts to the reconstruction of the atomic positions of a solid from its diffraction image. From a mathematical perspective, t…
Coincidence rotations of the root lattice
Michael Baake, Uwe Grimm, Manuela Heuer +1
The coincidence site lattices of the root lattice are considered, and the statistics of the corresponding coincidence rotations according to their indices is expressed in ter…
Homometric model sets and window covariograms
Michael Baake, Uwe Grimm
Two Delone sets are called homometric when they share the same autocorrelation or Patterson measure. A model set LAMBDA within a given cut and project scheme is a Delone set that i…