{ "id": "1905.06207", "version": "v1", "published": "2019-05-15T14:24:35.000Z", "updated": "2019-05-15T14:24:35.000Z", "title": "Asymptotics of correlations in the Ising model: a brief survey", "authors": [ "Sébastien Ott", "Yvan Velenik" ], "comment": "Comments welcome!", "categories": [ "math.PR", "cond-mat.stat-mech", "math-ph", "math.MP" ], "abstract": "We present a brief survey of rigorous results on the asymptotic behavior of correlations between two local functions as the distance between their support diverges, concentrating on the Ising model on $\\mathbb{Z}^d$ with finite-range ferromagnetic interactions.", "revisions": [ { "version": "v1", "updated": "2019-05-15T14:24:35.000Z" } ], "analyses": { "keywords": [ "brief survey", "ising model", "correlations", "finite-range ferromagnetic interactions", "local functions" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }