40 citations · 193 across the 15 of their papers we have counts for
16 papers
Number-theoretic positive entropy shifts with small centraliser and large normaliser
Michael Baake, Alvaro Bustos, Christian Huck +2
Higher-dimensional binary shifts of number-theoretic origin with positive topological entropy are considered. We are particularly interested in analysing their symmetries and exten…
On the logarithmic probability that a random integral ideal is -free
Christian Huck
This extends a theorem of Davenport and Erdös on sequences of rational integers to sequences of integral ideals in arbitrary number fields . More precisely, we introduce a logar…
On weak model sets of extremal density
Michael Baake, Christian Huck, Nicolae Strungaru
The theory of regular model sets is highly developed, but does not cover examples such as the visible lattice points, the k-th power-free integers, or related systems. They belong…
Ergodic properties of visible lattice points
Michael Baake, Christian Huck
Recently, the dynamical and spectral properties of square-free integers, visible lattice points and various generalisations have received increased attention. One reason is the con…
On pattern entropy of weak model sets
Christian Huck, Christoph Richard
We study point sets arising from cut-and-project constructions. An important class is weak model sets, which include squarefree numbers and visible lattice points. For such model s…
Discrete tomography: Magic numbers for -fold symmetry
Christian Huck, Markus Moll, Johan Nilsson
We consider the problem of distinguishing convex subsets of -cyclotomic model sets by (discrete parallel) X-rays in prescribed -directions. In this cont…