时间：2024年3月21日（周四）14:00-15:00
地点：西湖大学云谷校区E4-233
主持人：西湖大学理论科学研究院 Thierry De Pauw
主讲人：广东以色列理工学院 Nikita KALININ
讲座主题：Sandpiles on infinite domains
讲座摘要:
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.
