33 citations · 71 across the 7 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…
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…
Unequal Crossover Dynamics in Discrete and Continuous Time
Oliver Redner, Michael Baake
We analyze a class of models for unequal crossover (UC) of sequences containing sections with repeated units that may differ in length. In these, the probability of an `imperfect'…
An asymptotic maximum principle for essentially linear evolution models
E. Baake, M. Baake, A. Bovier +1
Recent work on mutation-selection models has revealed that, under specific assumptions on the fitness function and the mutation rates, asymptotic estimates for the leading eigenval…
Bravais colourings of planar modules with N-fold symmetry
Michael Baake, Uwe Grimm
The first step in investigating colour symmetries for periodic and aperiodic systems is the determination of all colouring schemes that are compatible with the symmetry group of th…
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…