2 citations · 4 across the 8 of their papers we have counts for
8 papers
Renormalisation techniques for inflation systems and some of their applications
Michael Baake, Franz Gähler, Anna Klick +2
Exact renormalisation techniques are important and powerful, particularly for inflation-generated systems. We review recent results in this direction. We recall the necessary notio…
A note on measures whose diffraction is concentrated on a single sphere
Michael Baake, Jan Mazáč, Emily R. Korfanty
Is there a translation-bounded measure whose diffraction is spherically symmetric and concentrated on a single sphere? This note constructively answers this question of Strungaru i…
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…
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…
On the long-range order of the Spectre tilings
Michael Baake, Franz Gähler, Jan Mazáč +1
The Spectre is an aperiodic monotile for the Euclidean plane that is truly chiral in the sense that it tiles the plane without any need for a reflected tile. The topological and dy…
A naturally appearing family of Cantorvals
Michael Baake, Anton Gorodetski, Jan Mazáč
The aim of this note is to show the existence of a large family of Cantorvals arising in the projection description of primitive two-letter substitutions. This provides a common an…
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…
Orbit separation dimension as complexity measure for primitive inflation tilings
Michael Baake, Franz Gähler, Philipp Gohlke
Orbit separation dimension (OSD), previously introduced as amorphic complexity, is a powerful complexity measure for topological dynamical systems with pure-point spectrum. Here, w…