On the Frequency Module of the Hull of a Primitive Substitution Tiling

• Main Authors: Say-Awen, April Lynne D, Frettlöh, Dirk, De Las Peñas, Ma. Louise Antonette N
• Format: text
• Published: Archīum Ateneo 2022
• Subjects: frequency module; primitive substitution tilings; aperiodic tilings; quasicrystals; Mathematics
• Online Access: https://archium.ateneo.edu/mathematics-faculty-pubs/185; https://archium.ateneo.edu/cgi/viewcontent.cgi?article=1190&context=mathematics-faculty-pubs
• Institution: Ateneo De Manila University

Understanding the properties of tilings is of increasing relevance to the study of aperiodic tilings and tiling spaces. This work considers the statistical properties of the hull of a primitive substitution tiling, where the hull is the family of all substitution tilings with respect to the substitu...