{ "id": "1606.05335", "version": "v1", "published": "2016-06-16T19:53:26.000Z", "updated": "2016-06-16T19:53:26.000Z", "title": "Parisi formula for the ground state energy in the mixed p-spin model", "authors": [ "Antonio Auffinger", "Wei-Kuo Chen" ], "comment": "14 pages", "categories": [ "math.PR", "math-ph", "math.MP" ], "abstract": "We show that the thermodynamic limit of the ground state energy in the mixed p-spin model can be identified as a variational problem. This gives a natural generalization of the Parisi formula at zero temperature.", "revisions": [ { "version": "v1", "updated": "2016-06-16T19:53:26.000Z" } ], "analyses": { "subjects": [ "60K35", "82B44" ], "keywords": [ "ground state energy", "mixed p-spin model", "parisi formula", "variational problem", "thermodynamic limit" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable" } } }