110 citations · 1.9k across the 140 of their papers we have counts for
151 papers
Convergence of Fourier--Bohr coefficients for regular Euclidean model sets
Michael Baake, Alan Haynes
It is well known that the Fourier--Bohr coefficients of regular model sets exist and are uniformly converging, volume-averaged exponential sums. Several proofs for this statement a…
Dynamics and topology of the Hat family of tilings
Michael Baake, Franz Gähler, Lorenzo Sadun
The recently discovered Hat tiling admits a 4-dimensional family of shape deformations, including the 1-parameter family already known to yield alternate monotiles. The continuous…
Correlations of the Thue--Morse sequence
Michael Baake, Michael Coons
The pair correlations of the Thue--Morse sequence and system are revisited, with focus on asymptotic results on various means. First, it is shown that all higher-order correlations…
Fibonacci direct product variation tilings
Michael Baake, Franz Gähler, Jan Mazáč
The direct product of two Fibonacci tilings can be described as a genuine stone inflation rule with four prototiles. This rule admits various modifications, which lead to 48 differ…
A note on tempered measures
Michael Baake, Nicolae Strungaru
The relation between tempered distributions and measures is analysed and clarified. While this is straightforward for positive measures, it is surprisingly subtle for signed or com…
Power-free points in quadratic number fields: Stabiliser, dynamics and entropy
Michael Baake, Alvaro Bustos, Andreas Nickel
The sets of -free integers in general quadratic number fields are studied, with special emphasis on (extended) symmetries and their impact on the topological dynamical systems i…