14/09/2022, 17:00 — 18:00 — Online
Wei-Kuo Chen, University of Minnesota
Computational perspective of local magnetization in the Sherrington-Kirkpatrick model
Spin glasses are disordered spin systems originally introduced to explain some unusual magnetic behavior of certain alloys. Although their formulations are typically easy to state, many of them enjoy several profound mathematical and physical principles that are extremely challenging to prove. In this talk, I will focus on the Sherrington-Kirkpatrick model and consider its local magnetization in the computational perspective. While it has been well-understood that this quantity satisfies so-called cavity method and Thouless-Anders-Palmer equations in the literature, I will explain how they give rise to novel iterative algorithms and are helpful in simulating the local magnetization in the high temperature regime. Based on a joint work with Si Tang.
