Event Type:

Department Event

Date/Time:

Tuesday, November 27, 2018 - 15:30 to 16:30

Location:

Shepard Hall room 101

Local Speaker:

Abstract:

Rauzy fractals are geometrical objects that have a “dynamical” description and can be constructed using substitutions. A substitution on an alphabet is a map on the words of the alphabet which substitute letters by words. Since substitutions are used in various fields, we want to know more about them. One way is to find a geometric representation for it. In 1982, Rauzy constructed a fractal (later named as Rauzy fractal) using the Tribonacci substitution which is a Pisot substitution. It turns out that you can find such fractals for Pisot substitutions. Thus, in this talk, we will show how to get a Rauzy fractal for a Pisot substitution.