Analysis Seminar
Topological Mixing Tilings of $\mathbb{R}^2$ Generated by a Generalized Substitution
Fri, 21 February, 2014
8:00pm
Speaker: Tyler White, Northern Virginia Community College
Abstract: Kenyon, in his 1996 paper, gave a class of examples of tilings of \mathbb{R}^2 constructed from generalized substitutions. These examples are topologically conjugate to self-similar tilings of the plane (with fractal boundaries). I have proven that an infinite sub-family of Kenyon's examples are topologically mixing. These are the first known examples of topologically mixing substitution tiling dynamical systems of \mathbb{R^2}.