{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:47:20Z","timestamp":1777448840476,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"3-4","license":[{"start":{"date-parts":[[2010,9,1]],"date-time":"2010-09-01T00:00:00Z","timestamp":1283299200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Asymptotic Analysis"],"published-print":{"date-parts":[[2010,9]]},"abstract":"<jats:p>We investigate the asymptotic behaviour of the second-order correlation function of the characteristic polynomial of a Hermitian Wigner matrix at the edge of the spectrum. We show that the suitably rescaled second-order correlation function is asymptotically given by the Airy kernel, thereby generalizing the well-known result for the Gaussian Unitary Ensemble (GUE). Moreover, we obtain similar results for real-symmetric Wigner matrices.<\/jats:p>","DOI":"10.3233\/asy-2010-1004","type":"journal-article","created":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T19:13:05Z","timestamp":1575054785000},"page":"233-248","source":"Crossref","is-referenced-by-count":1,"title":["Asymptotics of characteristic polynomials of Wigner matrices at the edge of the spectrum"],"prefix":"10.1177","volume":"69","author":[{"given":"H.","family":"K\u00f6sters","sequence":"first","affiliation":[{"name":"Fakult\u00e4t f\u00fcr Mathematik, Universit\u00e4t Bielefeld, Postfach 100131, 33501 Bielefeld, Germany. E-mail: hkoesters@math.uni-bielefeld.de"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2010,9,1]]},"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2010-1004","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2010-1004","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T12:39:07Z","timestamp":1777379947000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-2010-1004"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,9]]},"references-count":0,"journal-issue":{"issue":"3-4","published-print":{"date-parts":[[2010,9]]}},"alternative-id":["10.3233\/ASY-2010-1004"],"URL":"https:\/\/doi.org\/10.3233\/asy-2010-1004","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"value":"0921-7134","type":"print"},{"value":"1875-8576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,9]]}}}