Symmetries and patterns in sandpiles

Mon May 10th 2021, 11:00am
Ahmed Bou-Rabee, University of Chicago

Abstract:   The Abelian sandpile is a diffusion process on the integer lattice which produces striking, kaleidoscopic patterns. Why do these patterns appear? How robust are the patterns to noise? What happens in dimensions higher than two? I will discuss recent progress towards answering these questions. There are connections to circle packings, stochastic homogenization, and percolation.