Topological densities of quasiperiodic structures
Year: 2025
Type: article
Abstract: We study the topological densities of quasiperiodic graphs, whose set of vertices is a cut-and-project set. We use two approaches: a calculation based on the asymptotics of the coordination sequence and a calculation based on the growth forms of the graphs. The main result is an explicit formula expressing the topological density of quasiperiodic graphs in terms of the growth form and cut-and-project construction of the graph. Both approaches are illustrated with three examples: the graphs of vertices of the Penrose and Ammann-Beenker tilings and the Rauzy tiling.
Author: Anton Shutov
Institution: Vladimir State University
Language: English
Subfield: Materials Chemistry
Field: Materials Science
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid:
OpenAlex ID: W4408376133