33 citations · 129 across the 12 of their papers we have counts for
27 papers
Averaged coordination numbers of planar aperiodic tilings
Michael Baake, Uwe Grimm
We consider averaged shelling and coordination numbers of aperiodic tilings. Shelling numbers count the vertices on radial shells around a vertex. Coordination numbers, in turn, co…
Interplay between magnetic and spatial order in quasicrystals
E. Y. Vedmedenko, U. Grimm, R. Wiesendanger
The stable magnetisation configurations of antiferromagnets on quasiperiodic tilings are investigated theoretically. The exchange coupling is assumed to decrease exponentially with…
Freely forming groups: Trying to be rare
Michael Baake, Uwe Grimm, Harald Jockusch
A simple weakly frequency dependent model for the dynamics of a population with a finite number of types is proposed, based upon an advantage of being rare. In the infinite populat…
Multiscaling, Ergodicity and Localization in Quasiperiodic Chains
V. Z. Cerovski, M. Schreiber, U. Grimm
We report results of numerical simulations of wave-packet dynamics in a class of chains consisting of two types of weakly coupled clusters arranged in a quasiperiodic sequence. Pro…
Maximum principle and mutation thresholds for four-letter sequence evolution
Tini Garske, Uwe Grimm
A four-state mutation-selection model for the evolution of populations of DNA-sequences is investigated with particular interest in the phenomenon of error thresholds. The mutation…
The quantum Ising chain with a generalized defect
Uwe Grimm
The finite-size scaling properties of the quantum Ising chain with different types of generalized defects are studied. These not only mean an alteration of the coupling constant as…