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math.MG2025
Pair correlations of one-dimensional model sets and monstrous covariograms of Rauzy fractals
Michael Baake, Anna Klick, Jan Mazáč
The averaged distance structure of one-dimensional regular model sets is determined via their pair correlation functions. The latter lead to covariograms and cross covariograms of…
math.MG2025★ 1 cited
Diffraction of the Hat and Spectre tilings and some of their relatives
Michael Baake, Franz Gähler, Jan Mazáč +1
The diffraction spectra of the Hat and Spectre monotile tilings, which are known to be pure point, are derived and computed explicitly. This is done via model set representatives o…
math.MG2023
On the Fibonacci tiling and its modern ramifications
Michael Baake, Franz Gähler, Jan Mazáč
In the last 30 years, the mathematical theory of aperiodic order has developed enormously. Many new tilings and properties have been discovered, few of which are covered or anticip…