The scaling limit of the Abelian sandpile on periodic graphs

Homogenization and Random Phenomenon

20 November 15:00 - 15:55

Charles K. Smart - Massachusetts Institute of Technology, MIT

Joint work with Lionel Levine and Wesley Pegden. The Abelian sandpile is a deterministic diffusion process on graphs which, at least on periodic planar graphs, generates striking fractal configurations. The scaling limit on the two dimensional integer lattice can be described in terms of an Apollonian circle packing. General periodic graphs share some of this structure, but appear to have more complicated scaling limits in general. I will discuss both the lattice and general cases.
Henrik Shahgholian
KTH Royal Institute of Technology
Panagiotis Souganidis
The University of Chicago


Henrik Shahgholian

Tel: 08-790 67 54


For practical matters at the Institute, send an e-mail to