Diff. Geom, Math. Phys., PDE Seminar: Antoine Julien
- Date: 11/05/2013
- Time: 15:30
University of British Columbia
Homeomorphisms between aperiodic tiling spaces
In this talk, I will give an introduction to aperiodic tilings. Usually, one studies a topological dynamical system associated to these tilings rather than one specific tiling (this is the analogue to studying a subshift rather that one single word in symbolic dynamics). It is a natural question to ask what happens to the underlying tilings when there is a homeomorphism between tiling spaces. The result I will present is the following: whenever two tiling spaces are homeomorphic, the complexity function is preserved up to some multiplicative constants and rescaling.
Location: ESB 2012