{ "id": "math/9807135", "version": "v1", "published": "1998-07-24T07:54:43.000Z", "updated": "1998-07-24T07:54:43.000Z", "title": "A Note on the Decay of Correlations Under $δ$-Pinning", "authors": [ "D. Ioffe", "Y. Velenik" ], "comment": "9 pages", "journal": "Probab. Theory Related Fields, Vol. 116, Nr. 3 (2000) , p. 379--389", "doi": "10.1007/s004400050254", "categories": [ "math.PR", "cond-mat.stat-mech", "math-ph", "math.MP" ], "abstract": "We prove that for a class of massless $\\nabla\\phi$ interface models on $\\Ztwo$ an introduction of an arbitrary small pinning self-potential leads to exponential decay of correlation, or, in other words, to creation of mass.", "revisions": [ { "version": "v1", "updated": "1998-07-24T07:54:43.000Z" } ], "analyses": { "keywords": [ "correlation", "arbitrary small pinning self-potential", "interface models", "exponential decay", "introduction" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1998math......7135I" } } }