14 citations · 24 across the 5 of their papers we have counts for
5 papers
Dynamical spectrum of power-free integers in quadratic number fields and beyond
Michael Baake, Daniel Luz, Tanja Schindler
Power-free integers and related lattice subsets give rise to interesting dynamical systems. They are revisited from a spectral perspective, in the setting of the Halmos--von Neuman…
On the full centraliser of Erdős $\cB$-free shifts
Michael Baake, Neil Mañibo
The sets of $\cB$-free integers are considered with respect to (reversing) symmetries. It is well known that, for a large class of them, the centraliser of the associated $\cB$-fre…
On -free numbers in cyclotomic fields: entropy, symmetries and topological invariants
Michael Baake, Alvaro Bustos, Andreas Nickel
Point sets of number-theoretic origin, such as the visible lattice points or the -th power free integers, have interesting geometric and spectral properties and give rise to top…
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…
Radial spacing distributions from planar points sets
Michael Baake, Friedrich Götze, Christian Huck +1
In this paper, we explore the radial projection method for locally finite point sets and provide numerical examples for different types of order. The main question is whether the m…