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

18^th November 2022, 14:00
April Lynne D. Say-awen
Ateneo de Manila University, Philippines

Abstract

This talk is based on a joint paper with Dirk Frettlöh and Ma. Louise Antonette N. De Las Peñas where a method will be presented on how to arrive at the frequency module of the hull of a primitive substitution tiling. The frequency module of a tiling T is the minimal Z-module that contains the absolute frequency of each patch of T. The method involves introducing a new substitution tiling T' that is derivable from T.