Speaker: 刘群（闽南师范大学）
Title: The Sherrington–Kirkpatrick model with vector spins
Inviter: 随机分析研究中心
Time & Venue: 2025年12月5日16:00--17:00 南楼613
Abstract: The two-dimensional Guerra–Talagrand (GT) bound occupies a pivotal position in the analysis of the Sherrington–Kirkpatrick (SK) model, as exemplified by its application in establishing Talagrand’s positivity of the overlap and disorder chaos. By scrutinizing the Parisi functional introduced by Chen H.-B [arXiv:2311.10446v2], this talk aims to demonstrate the corresponding GT bound for the SK model with vector spins, formulated through optimal stochastic control problems. These results subsequently lead to novel insights regarding Talagrand’s positivity of the overlap matrix in the SK model with vector spins.
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