{"title":"On the GREM approximation of TAP free energies*","authors":"Giulia Sebastiani and Marius Alexander Schmidt","doi":"10.1088/1751-8121/ad653b","DOIUrl":null,"url":null,"abstract":"We establish both a Boltzmann–Gibbs principle and a Parisi formula for the limiting free energy of an abstract generalized random energy model which provides an approximation of the Thouless–Anderson–Palmer free energies associated to the Sherrington–Kirkpatrick model.","PeriodicalId":16763,"journal":{"name":"Journal of Physics A: Mathematical and Theoretical","volume":"25 1","pages":""},"PeriodicalIF":2.0000,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Physics A: Mathematical and Theoretical","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1088/1751-8121/ad653b","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
引用次数: 0
Abstract
We establish both a Boltzmann–Gibbs principle and a Parisi formula for the limiting free energy of an abstract generalized random energy model which provides an approximation of the Thouless–Anderson–Palmer free energies associated to the Sherrington–Kirkpatrick model.
期刊介绍:
Publishing 50 issues a year, Journal of Physics A: Mathematical and Theoretical is a major journal of theoretical physics reporting research on the mathematical structures that describe fundamental processes of the physical world and on the analytical, computational and numerical methods for exploring these structures.