{ "id": "1902.09390", "version": "v1", "published": "2019-02-25T15:53:27.000Z", "updated": "2019-02-25T15:53:27.000Z", "title": "On the Correlation Functions of the Characteristic Polynomials of the Non-Hermitian Random Matrices with Independent Entries", "authors": [ "Ievgenii Afanasiev" ], "comment": "17 pages", "categories": [ "math-ph", "math.MP" ], "abstract": "The paper is concerned with the asymptotic behaviour of the correlation functions of the characteristic polynomials for non-Hermitian random matrices with independent entries. It is shown that the considered correlation function behaves like that for Complex Ginibre Ensemble up to a factor depending only on the forth absolute moment of the common probability law of the matrix entries.", "revisions": [ { "version": "v1", "updated": "2019-02-25T15:53:27.000Z" } ], "analyses": { "subjects": [ "15B52" ], "keywords": [ "non-hermitian random matrices", "independent entries", "characteristic polynomials", "common probability law", "correlation function behaves" ], "note": { "typesetting": "TeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable" } } }