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 …

Multilevel charge pum** is a feature that was recently observed in quasiperiodic systems.
In this work, we show that it is more generic and appears in different aperiodic systems …

Tilings based on the cut-and-project method are key model systems for the description of
aperiodic solids. Typically, quantities of interest in crystallography involve averaging over …

The pair correlations of primitive inflation rules are analysed via their exact renormalisation
relations. We introduce the inflation displacement algebra that is generated by the Fourier …

This paper studies geometric and spectral properties of S-adic shifts and their relation to
continued fraction algorithms. These shifts are symbolic dynamical systems obtained by …

Primitive inflation tilings of the real line with finitely many tiles of natural length and a Pisot-
Vijayaraghavan unit as inflation factor are considered. We present an approach to the pure …

Multidimensional continued fractions and symbolic codings of toral translations Page 1 ©
2022 European Mathematical Society Published by EMS Press and licensed under a CC BY …

We investigate topological mixing of compatible random substitutions. For primitive random
substitutions on two letters whose second eigenvalue is greater than one in modulus, we …

An Alternative Proof for an Aperiodic Monotile | Discrete & Computational Geometry Skip to
main content Springer Nature Link Account Menu Find a journal Publish with us Track your …

For self-similar sets, there are two important separation properties: the open set condition
and the weak separation condition introduced by Zerner, which may be replaced by the …