Abstract: Self-organised criticality has provided a possible framework explaining how chaotic systems can emerge from simple rules in nature without fine-tuning parameters. Its most famous example, the Abelian sandpile model (ASM), has undergone substantial research in different fields of mathematics, and yet many problems and conjectures are still open, even for the Euclidean lattice.
In this talk, we consider the ASM on the Sierpiński gasket graph and find that some of the open problems for the Euclidean lattice can be answered using the self-similar structure of this graph.
 
The results presented in this talk are mainly based on a series of papers by Robin Kaiser, Ecaterina Sava-Huss, and Yuwen Wang.