Time: 14:00-15:00, Thursday, March 21 2024
Venue: E4-233, Yungu Campus
Host: Thierry De Pauw, ITS
Speaker: Nikita KALININ, Guangdong Technion Israel Institute of Technology
Title: Sandpiles on infinite domains
Abstract:
The sandpile model is an archetypical example of Self-Organized Criticality, an essential concept in condensed matter physics. Mathematically, this is a very simple cellular automaton exhibiting very complex behavior. However, it is mathematically tractable since sandpile possesses several mutually interconnected structures. The set of recurrent states of a sandpile on a given graph G forms an Abelian group; the elements of this group bijectively correspond to the set of spanning trees of G. In several different setups there exist scaling limits of sandpile objects.
I will show beautiful pictures, explain the properties of these structures on sandpiles for a finite graph, and discuss what and how they can be generalized to infinite graphs.
