Spectral gap estimates for mixed p-spin models at high temperature

• 成果类型: Article
• 署名作者: Adhikari, Arka; Brennecke, Christian; Xu, Changji; Yau, Horng-Tzer
• 署名单位: Stanford University; University of Bonn; Harvard University; Harvard University
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-024-01261-9
• 发表日期: 2024
• 页码: 879-907
• 关键词: logarithmic sobolev inequality

摘要

We consider general mixed p-spin mean field spin glass models and provide a method to prove that the spectral gap of the Dirichlet form associated with the Gibbs measure is of order one at sufficiently high temperature. Our proof is based on an iteration scheme relating the spectral gap of the N-spin system to that of suitably conditioned subsystems.