Westlake Math Colloquium第五十二期 | Nikita Kalinin: Sandpiles on infinite domains

2024-03-19 11:23:44

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betway必威棋牌网址 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.

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