{ "id": "math-ph/0505003", "version": "v1", "published": "2005-05-02T13:31:00.000Z", "updated": "2005-05-02T13:31:00.000Z", "title": "Semicircle law and freeness for random matrices with symmetries or correlations", "authors": [ "Jeffrey H. Schenker", "Hermann Schulz-Baldes" ], "comment": "14 pages, Latex. To appear in Math. Res. Lett", "journal": "Mathematical Research Letters 12 (2005), 531-542", "categories": [ "math-ph", "math.MP" ], "abstract": "For a class of random matrix ensembles with correlated matrix elements, it is shown that the density of states is given by the Wigner semi-circle law. This is applied to effective Hamiltonians related to the Anderson model in dimensions greater than or equal to two.", "revisions": [ { "version": "v1", "updated": "2005-05-02T13:31:00.000Z" } ], "analyses": { "keywords": [ "random matrices", "semicircle law", "symmetries", "correlations", "random matrix ensembles" ], "tags": [ "journal article" ], "note": { "typesetting": "LaTeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math.ph...5003S" } } }