33 citations · 71 across the 7 of their papers we have counts for
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Reversing Symmetry Groups of Cat Maps
Michael Baake
Toral automorphisms are widely used (discrete) dynamical systems, the perhaps most prominent example (in 2D) being Arnold's cat map. Given such an automorphism M, its symmetries (i…
Averaged shelling for quasicrystals
Michael Baake, Uwe Grimm, Dieter Joseph +1
The shelling of crystals is concerned with counting the number of atoms on spherical shells of a given radius and a fixed centre. Its straight-forward generalization to quasicrysta…
Diffraction from visible lattice points and k-th power free integers
Michael Baake, Robert V. Moody, Peter A. B. Pleasants
We prove that the set of visible points of any lattice of dimension at least 2 has pure point diffraction spectrum, and we determine the diffraction spectrum explicitly. This settl…
Similarity submodules and root systems in four dimensions
Michael Baake, Robert V. Moody
Lattices and Z-modules in Euclidean space possess an infinitude of subsets that are images of the original set under similarity transformation. We classify such self-similar images…
Lee-Yang zeros for substitutional systems
Harald Simon, Michael Baake, Uwe Grimm
Qualitative and quantitative information about critical phenomena is provided by the distribution of zeros of the partition function in the complex plane. We apply this idea to Isi…
Ising spins on the labyrinth
Uwe Grimm, Michael Baake, Harald Simon
We consider a zero-field Ising model defined on a quasiperiodic graph, the so-called Labyrinth tiling. Exact information about the critical behaviour is obtained from duality argum…