[PAST EVENT] Mathematics Colloquium: Neal Bushaw (Virginia Commonwealth University)

September 28, 2018
2pm - 3pm
Jones Hall, Room 302
200 Ukrop Way
Williamsburg, VA 23185Map this location
Access & Features
  • Open to the public

Title: Bootstrap Percolation on Polygonal Tilings of the Plane

Abstract: We consider bootstrap percolation in tilings of the plane by regular polygons. First, we determine the percolation threshold for each of the infinite Archimedean lattices. More generally, let T denote the set of plane tilings t by regular polygons such that if t contains one instance of a vertex type, then t contains infinitely many instances of that type. We show that no tiling in T has threshold 4 or more. This material is self-contained, and requires no particular background. We'll share many open problems, as well as the intuition behind these results.


Anh Ninh