{ "id": "math/0603212", "version": "v1", "published": "2006-03-09T09:37:38.000Z", "updated": "2006-03-09T09:37:38.000Z", "title": "On a nonhierarchical version of the generalized random energy model", "authors": [ "Erwin Bolthausen", "Nicola Kistler" ], "comment": "Published at http://dx.doi.org/10.1214/105051605000000665 in the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)", "journal": "Annals of Applied Probability 2006, Vol. 16, No. 1, 1-14", "doi": "10.1214/105051605000000665", "categories": [ "math.PR" ], "abstract": "We introduce a natural nonhierarchical version of Derrida's generalized random energy model. We prove that, in the thermodynamical limit, the free energy is the same as that of a suitably constructed GREM.", "revisions": [ { "version": "v1", "updated": "2006-03-09T09:37:38.000Z" } ], "analyses": { "subjects": [ "60G60", "82B44" ], "keywords": [ "derridas generalized random energy model", "natural nonhierarchical version", "free energy", "thermodynamical limit", "suitably constructed grem" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math......3212B" } } }