3 citations · 7 across the 5 of their papers we have counts for
5 papers
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…
Measures, modular forms, and summation formulas of Poisson type
Claudia Alfes, Paul Kiefer, Jan Mazáč
In this article, we show that Fourier eigenmeasures supported on spheres with radii given by a locally finite sequence, which we call -spherical measures, correspond to Fourier…
Patch frequencies in Penrose rhombic tilings
Jan Mazáč
This short exposition presents an algorithm for an exact calculation of patch frequencies for the rhombic Penrose tiling. We recall a construction of Penrose tilings via dualisatio…
Correlation functions of the Rudin-Shapiro sequence
Jan Mazáč
In this paper, we show that all odd-point correlation functions of the balanced Rudin--Shapiro sequence vanish and that all even-point correlation functions depend only on a single…
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…