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Westlake Math Colloquium第五十二期 | Nikita Kalinin: Sandpiles on infinite domains
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
理论科学研究院 Thierry De Pauw
受众
全体师生
分类
学术与研究
Westlake Math Colloquium第五十二期 | Nikita Kalinin: Sandpiles on infinite domains
时间:2024年3月21日(周四)14:00-15:00
Time:14:00-15:00, Thursday, March 21, 2023
地点:西湖大学云谷校区E4-233
Venue: E4-233, Yungu Campus
主持人/Host:Thierry De Pauw, ITS
主讲人/Speaker: Nikita KALININ, Guangdong Technion Israel Institute of Technology
讲座主题/Title: Sandpiles on infinite domains
讲座摘要/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.