Dynamics Seminar-Topologically Mixing Tiling of R^2 from a Generalize Substitution

Speaker:  Tyler White, NOVA Loudoun  

Time and Date: Thursday 3/25 at 11 am by Zoom (send email to [email protected] for invitation)

Title: Topologically Mixing Tiling of R^2 from a Generalize Substitution

Abstract: In this talk I will present sufficient conditions for a substitution tiling dynamical of \R^2 generated by a generalized substitution on 3 letters to be topologically mixing.  These conditions are shown to hold on a large class of tiling substitutions originally presented by Kenyon in 1996.  This problem was suggested by Boris Solomyak, and many of the techniques that are used in this paper are based on the work by Kenyon, Sadun, and Solomyak in 2005.