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Symmetries and patterns in sandpiles

Monday, May 10, 2021 - 11:00am

Speaker:   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.