{ "id": "2205.12928", "version": "v1", "published": "2022-05-25T17:29:48.000Z", "updated": "2022-05-25T17:29:48.000Z", "title": "Griffiths inequalities for the $O(N)$-spin model", "authors": [ "Benjamin Lees" ], "comment": "19 pages, 1 figure", "categories": [ "math.PR", "math-ph", "math.MP" ], "abstract": "We prove Griffiths inequalities for the $O(N)$-spin model with inhomogeneous coupling constants and external magnetic field for any $N\\geq 2$.", "revisions": [ { "version": "v1", "updated": "2022-05-25T17:29:48.000Z" } ], "analyses": { "keywords": [ "spin model", "griffiths inequalities", "external magnetic field" ], "note": { "typesetting": "TeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable" } } }