Introduction to tiling iterated function systems

This seminar is free-standing and intended to be of general interest but it will also serve as a preview of the special topics course ”Fractal TilingTheory”. The speaker will describe a novel approach to self-similar tiling theory, in the setting of graph directed iterated function systems, where the tiles may befractals and the tiled set may be a complicated unbounded subset ofRM.The main new result is that certain “rigid” tilings are always “aperiodic”.

 

 

REFERENCE: Michael F. Barnsley, Louisa F. Barnsley, Andrew Vince, Tilingiterated function systems,arXiv:2002.03538v2 [math.DS] 13 Feb 2020