{ "id": "math-ph/0304003", "version": "v3", "published": "2003-04-01T04:13:13.000Z", "updated": "2005-02-18T00:19:54.000Z", "title": "Cluster expansions and correlation functions", "authors": [ "Daniel Ueltschi" ], "comment": "11 pages", "journal": "Moscow Math. J. 4, 511-522 (2004)", "categories": [ "math-ph", "math.MP" ], "abstract": "A cluster expansion is proposed, that applies to both continuous and discrete systems. The assumption for its convergence involves an extension of the neat Kotecky-Preiss criterion. Expressions and estimates for correlation functions are also presented. The results are applied to systems of interacting classical and quantum particles, and to a lattice polymer model.", "revisions": [ { "version": "v3", "updated": "2005-02-18T00:19:54.000Z" } ], "analyses": { "subjects": [ "82B05", "82B10" ], "keywords": [ "correlation functions", "cluster expansion", "lattice polymer model", "neat kotecky-preiss criterion", "discrete systems" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2003math.ph...4003U" } } }