{ "id": "math-ph/0611004", "version": "v7", "published": "2006-11-01T22:25:52.000Z", "updated": "2007-03-24T15:18:04.000Z", "title": "Towards a Direct Method for the Analyticity of the Pressure for Certain Classical Unbounded Spin Systems", "authors": [ "Assane Lo" ], "categories": [ "math-ph", "math.MP" ], "abstract": "The aim of this paper is to study direct methods for the analyticity of the pressure for certain classical unbounded spin models. We provide a representation in terms of the Witten Laplacian on one-forms of the nth-derivative of the pressure as function of some order parameter t . The technique involves the formula for the covariance of two functions introduced by B. Helffer and J. Sjostrand.", "revisions": [ { "version": "v7", "updated": "2007-03-24T15:18:04.000Z" } ], "analyses": { "subjects": [ "82B05", "82B26", "35J15" ], "keywords": [ "classical unbounded spin systems", "analyticity", "study direct methods", "witten laplacian", "classical unbounded spin models" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math.ph..11004L" } } }