33 citations · 129 across the 12 of their papers we have counts for
5 papers · 1 filter
Combinatorial problems of (quasi-)crystallography
Michael Baake, Uwe Grimm
Several combinatorial problems of (quasi-)crystallography are reviewed with special emphasis on a unified approach, valid for both crystals and quasicrystals. In particular, we con…
Level-spacing distributions of the Gaussian unitary random matrix ensemble
Uwe Grimm
Level-spacing distributions of the Gaussian Unitary Ensemble (GUE) of random matrix theory are expressed in terms of solutions of coupled differential equations. Series solutions u…
Duality and conformal twisted boundaries in the Ising model
Uwe Grimm
There has been recent interest in conformal twisted boundary conditions and their realisations in solvable lattice models. For the Ising and Potts quantum chains, these amount to b…
What is Aperiodic Order?
Michael Baake, Uwe Grimm, Robert V. Moody
The theory of aperiodic order is concerned with the development of ideas stimulated by the discovery of quasicrystals. We give a gentle introduction to some mathematical aspects of…
A Note on Shelling
Michael Baake, Uwe Grimm
The radial distribution function is a characteristic geometric quantity of a point set in Euclidean space that reflects itself in the corresponding diffraction spectrum and related…