{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,30]],"date-time":"2022-03-30T20:18:31Z","timestamp":1648671511610},"reference-count":22,"publisher":"Elsevier BV","issue":"9","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:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2014,9,1]],"date-time":"2014-09-01T00:00:00Z","timestamp":1409529600000},"content-version":"vor","delay-in-days":1461,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Approximation Theory"],"published-print":{"date-parts":[[2010,9]]},"DOI":"10.1016\/j.jat.2010.04.005","type":"journal-article","created":{"date-parts":[[2010,4,28]],"date-time":"2010-04-28T13:12:05Z","timestamp":1272460325000},"page":"1588-1606","source":"Crossref","is-referenced-by-count":0,"title":["Density of eigenvalues and its perturbation invariance in unitary ensembles of random matrices"],"prefix":"10.1016","volume":"162","author":[{"given":"Dang-Zheng","family":"Liu","sequence":"first","affiliation":[]},{"given":"Zheng-Dong","family":"Wang","sequence":"additional","affiliation":[]},{"given":"Kui-Hua","family":"Yan","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/j.jat.2010.04.005_b1","article-title":"Spectral analysis of large dimensional random matrices","volume":"vol. 2","author":"Bai","year":"2006"},{"key":"10.1016\/j.jat.2010.04.005_b2","doi-asserted-by":"crossref","first-page":"228","DOI":"10.1063\/1.1704274","article-title":"Exponential ensemble for random matrices","volume":"6","author":"Bronk","year":"1965","journal-title":"J. Math. Phys."},{"key":"10.1016\/j.jat.2010.04.005_b3","article-title":"Orthogonal polynomials and random matrices: a Riemann\u2013Hilbert approach","volume":"vol. 3","author":"Deift","year":"1999"},{"key":"10.1016\/j.jat.2010.04.005_b4","series-title":"Recent Advances in Partial Differential Equations, Venice 1996","first-page":"87","article-title":"New results for the asymptotics of polynomials and related problems via the Lax\u2013Levermore method","volume":"vol. 54","author":"Deift","year":"1998"},{"key":"10.1016\/j.jat.2010.04.005_b5","doi-asserted-by":"crossref","first-page":"1335","DOI":"10.1002\/(SICI)1097-0312(199911)52:11<1335::AID-CPA1>3.0.CO;2-1","article-title":"Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory","volume":"52","author":"Deift","year":"1999","journal-title":"Comm. Pure Appl. Math."},{"key":"10.1016\/j.jat.2010.04.005_b6","series-title":"An Introduction to Probability Theory and its Applications, Vol. II","author":"Feller","year":"1971"},{"key":"10.1016\/j.jat.2010.04.005_b7","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1016\/S0723-0869(03)80036-1","article-title":"Random matrices with complex Gaussian entries","volume":"21","author":"Haagerup","year":"2003","journal-title":"Expo. Math."},{"issue":"1","key":"10.1016\/j.jat.2010.04.005_b8","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1215\/S0012-7094-98-09108-6","article-title":"On fluctuations of eigenvalues of random Hermitian matrices","volume":"91","author":"Johansson","year":"1998","journal-title":"Duke Math. J."},{"key":"10.1016\/j.jat.2010.04.005_b9","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1214\/154957805100000177","article-title":"Orthogonal polynomial ensembles in probability theory","volume":"2","author":"K\u00f6nig","year":"2005","journal-title":"Probab. Surv."},{"key":"10.1016\/j.jat.2010.04.005_b10","doi-asserted-by":"crossref","first-page":"763","DOI":"10.1063\/1.1704176","article-title":"Class of ensembles in the statistical theory of energy level spectra","volume":"5","author":"Leff","year":"1964","journal-title":"J. Math. Phys."},{"key":"10.1016\/j.jat.2010.04.005_b11","unstructured":"D.Z. Liu, Z.D. Wang, K.H. Yan, Density of eigenvalues and its perturbation invariance in unitary ensembles of random matrices, arXiv:0810.5425v1."},{"key":"10.1016\/j.jat.2010.04.005_b12","doi-asserted-by":"crossref","first-page":"207","DOI":"10.1023\/A:1006470603390","article-title":"Asymptotics of orthogonal polynomials: some old, some new, some identities","volume":"61","author":"Lubinsky","year":"2000","journal-title":"Acta Appl. Math."},{"key":"10.1016\/j.jat.2010.04.005_b13","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1007\/BF02075448","article-title":"A proof of Freud\u2019s conjecture for exponential weights","volume":"4","author":"Lubinsky","year":"1988","journal-title":"Constr. Approx."},{"key":"10.1016\/j.jat.2010.04.005_b14","series-title":"Random Matrices","author":"Mehta","year":"2004"},{"key":"10.1016\/j.jat.2010.04.005_b15","doi-asserted-by":"crossref","first-page":"1184","DOI":"10.1137\/0510107","article-title":"On asymptotic average properties of zeros of orthogonal polynomials","volume":"10","author":"Nevai","year":"1979","journal-title":"SIAM J. Math. Anal."},{"key":"10.1016\/j.jat.2010.04.005_b16","doi-asserted-by":"crossref","first-page":"179","DOI":"10.1007\/s00440-008-0145-y","article-title":"General tridiagonal random matrix models, limiting distributions and fluctuations","volume":"144","author":"Popescu","year":"2009","journal-title":"Probab. Theory Relat. Fields"},{"key":"10.1016\/j.jat.2010.04.005_b17","series-title":"Orthogonal Polynomials on the Unit Circle, Parts 1 and 2","author":"Simon","year":"2005"},{"key":"10.1016\/j.jat.2010.04.005_b18","series-title":"Orthogonal Polynomials","volume":"vol. 23","author":"Szeg\u00f6","year":"1939"},{"key":"10.1016\/j.jat.2010.04.005_b19","series-title":"Asymptotics for Orthogonal Polynomials","volume":"vol. 1265","author":"Van Assche","year":"1987"},{"key":"10.1016\/j.jat.2010.04.005_b20","series-title":"Orthogonal Polynomials: Theory and Practice","first-page":"435","article-title":"Asymptotics for orthogonal polynomials and three-term recurrences","volume":"vol. 294","author":"Van Assche","year":"1990"},{"key":"10.1016\/j.jat.2010.04.005_b21","doi-asserted-by":"crossref","first-page":"548","DOI":"10.2307\/1970079","article-title":"Characteristic vectors of bordered matrices with infinite dimensions","volume":"62","author":"Wigner","year":"1955","journal-title":"Ann. of Math."},{"key":"10.1016\/j.jat.2010.04.005_b22","doi-asserted-by":"crossref","first-page":"325","DOI":"10.2307\/1970008","article-title":"On the distribution of the roots of certain symmetric matrices","volume":"67","author":"Wigner","year":"1958","journal-title":"Ann. of Math."}],"container-title":["Journal of Approximation Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0021904510000754?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0021904510000754?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2018,12,11]],"date-time":"2018-12-11T14:51:23Z","timestamp":1544539883000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0021904510000754"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,9]]},"references-count":22,"journal-issue":{"issue":"9","published-print":{"date-parts":[[2010,9]]}},"alternative-id":["S0021904510000754"],"URL":"https:\/\/doi.org\/10.1016\/j.jat.2010.04.005","relation":{},"ISSN":["0021-9045"],"issn-type":[{"value":"0021-9045","type":"print"}],"subject":[],"published":{"date-parts":[[2010,9]]}}}