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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…
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…
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…