Primitive Tilings and Coherent Frames

• Main Authors: Nable, Job A, Miro, Eden Delight, Silvestre, Luis S, Jr.
• Format: text
• Published: Archīum Ateneo 2021
• Subjects: Coherent frames; aperiodic tilings; homogeneous groups; unitary representations; Mathematics
• Online Access: https://archium.ateneo.edu/mathematics-faculty-pubs/163; https://projecteuclid.org/journals/journal-of-geometry-and-symmetry-in-physics/volume-60/issue-none/Primitive-Tilings-and-Coherent-Frames/10.7546/jgsp-60-2021-47-64.short

This paper characterizes primitive substitution tiling systems for Lie groups for which every element of the associated tiling space generates coherent frames for corresponding representation spaces.