Scaling limit of the random Abelian Sandpile
Time and place
12:30 PM on Thursday, September 19th, 2019; NAC 6/113
Ahmed Bou-Rabee (U. Chicago)
Abstract
The Abelian sandpile is a simple combinatorial model from statistical physics which produces striking fractal-like patterns. Why do these patterns appear? What aspects of the patterns persist under the introduction of randomness?
I will introduce the model and then hint at how tools from elliptic partial differential equations and ergodic theory can be used to (partially) answer these questions.