Speaker: 刘群，闽南师范大学

Inviter: 随机分析研究中心

Title: The Sherrington–Kirkpatrick model with vector spins

Language: Chinese

Time & Venue: 2025.12.05 16:00-17:00 南楼N613

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.