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Volumn 29, Issue 2, 2009, Pages 247-275

Universality limits for exponential weights

Author keywords

Exponential weights; Orthogonal polynomials; Universality limits

Indexed keywords


EID: 60349109189     PISSN: 01764276     EISSN: 14320940     Source Type: Journal    
DOI: 10.1007/s00365-008-9020-4     Document Type: Article
Times cited : (19)

References (21)
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    • Princeton University Press Princeton
    • Baik, J., Kriecherbauer, T., McLaughlin, K., Miller, P.: Uniform Asymptotics for Polynomials Orthogonal with Respect to a General Class of Discrete Weights and Universality Results for Associated Ensembles. Annals of Math. Studies, vol. 164. Princeton University Press, Princeton (2007)
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  • 3
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    • Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model
    • P. Bleher I. Its 1999 Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model Ann. Math. 150 185 266
    • (1999) Ann. Math. , vol.150 , pp. 185-266
    • Bleher, P.1    Its, I.2
  • 4
    • 0003346458 scopus 로고    scopus 로고
    • Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach
    • New York University Press New York
    • Deift, P.: Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach. Courant Institute Lecture Notes, vol. 3. New York University Press, New York (1999)
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    • Deift, P.1
  • 6
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    • Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory
    • P. Deift T. Kriecherbauer K.T.-R. [tmp] McLaughlin S. Venakides X. Zhou 1999 Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory Commun. Pure. Appl. Math. 52 1335 1425
    • (1999) Commun. Pure. Appl. Math. , vol.52 , pp. 1335-1425
    • Deift, P.1    Kriecherbauer, T.2    McLaughlin, K.T.-R.3    Venakides, S.4    Zhou, X.5
  • 8
    • 33646945824 scopus 로고
    • Fast decreasing polynomials
    • K. Ivanov V. Totik 1990 Fast decreasing polynomials Constr. Approx. 6 1 20
    • (1990) Constr. Approx. , vol.6 , pp. 1-20
    • Ivanov, K.1    Totik, V.2
  • 9
    • 0345982308 scopus 로고    scopus 로고
    • Strong asymptotics of polynomials orthogonal with respect to Freud weights
    • T. Kriecherbauer K.T.-R. [tmp] McLaughlin 1999 Strong asymptotics of polynomials orthogonal with respect to Freud weights Int. Math. Res. Not. 6 299 333
    • (1999) Int. Math. Res. Not. , vol.6 , pp. 299-333
    • Kriecherbauer, T.1    McLaughlin, K.T.-R.2
  • 10
    • 0036360694 scopus 로고    scopus 로고
    • Universality for eigenvalue correlations from the modified Jacobi unitary ensemble
    • A.B. Kuijlaars M. Vanlessen 2002 Universality for eigenvalue correlations from the modified Jacobi unitary ensemble Int. Math. Res. Not. 30 1575 1600
    • (2002) Int. Math. Res. Not. , vol.30 , pp. 1575-1600
    • Kuijlaars, A.B.1    Vanlessen, M.2
  • 12
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    • A new approach to universality limits involving orthogonal polynomials
    • to appear
    • Lubinsky, D.S.: A new approach to universality limits involving orthogonal polynomials. Ann. Math. (2008, to appear)
    • (2008) Ann. Math.
    • Lubinsky, D.S.1
  • 13
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    • A new approach to universality limits at the edge of the spectrum
    • to appear
    • Lubinsky, D.S.: A new approach to universality limits at the edge of the spectrum. Contemp. Math. (2008, to appear)
    • (2008) Contemp. Math.
    • Lubinsky, D.S.1
  • 14
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  • 17
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    • L. Pastur M. Shcherbina 1997 Universality of the local eigenvalue statistics for a class of unitary invariant random matrix ensembles J. Stat. Phys. 86 109 147
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  • 21
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    • Strong asymptotics of Lageurre-type orthogonal polynomials and applications in random matrix theory
    • M. Vanlessen 2007 Strong asymptotics of Lageurre-type orthogonal polynomials and applications in random matrix theory Constr. Approx. 25 125 175
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    • Vanlessen, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.