A class of translation bounded complex measures, which have the form of weighted Dirac combs, on locally compact Abelian groups is investigated. Given such a Dirac comb, we are interested in itsâ€¦ (More)

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' alignment, in whichâ€¦ (More)

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 objects ofâ€¦ (More)

The coincidence site lattice (CSL) problem and its generalization toZ-modules in Euclidean 3-space is revisited, and various results and conjectures are proved in a unified way, by using maximalâ€¦ (More)

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 eigenvalue of theâ€¦ (More)

The diffraction of stochastic point sets, both Bernoulli and Markov, and of random tilings with crystallographic symmetries is investigated in rigorous terms. In particular, we derive the diffractionâ€¦ (More)

Institut fÃ¼r Theoretische Physik, UniversitÃ¤t TÃ¼bingen, Auf der Morgenstelle 14, 72076 TÃ¼bingen, Germany Abstra t. Diffuse scattering is usually associated with some disorder in the analyzedâ€¦ (More)