{ "id": "0803.0932", "version": "v1", "published": "2008-03-06T18:15:45.000Z", "updated": "2008-03-06T18:15:45.000Z", "title": "On the Second-Order Correlation Function of the Characteristic Polynomial of a Real Symmetric Wigner Matrix", "authors": [ "H. Kösters" ], "comment": "14 pages", "categories": [ "math.PR" ], "abstract": "We consider the asymptotic behaviour of the second-order correlation function of the characteristic polynomial of a real symmetric random matrix. Our main result is that the existing result for a random matrix from the Gaussian Orthogonal Ensemble essentially continues to hold for a general real symmetric Wigner matrix.", "revisions": [ { "version": "v1", "updated": "2008-03-06T18:15:45.000Z" } ], "analyses": { "subjects": [ "60B99", "15A52" ], "keywords": [ "second-order correlation function", "characteristic polynomial", "orthogonal ensemble essentially continues", "general real symmetric wigner matrix", "real symmetric random matrix" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0803.0932K" } } }