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Volumn 256, Issue 11, 2009, Pages 3688-3729

Universality limits for random matrices and de Branges spaces of entire functions

Author keywords

de Branges spaces; Orthogonal polynomials; Random matrices; Universality limits

Indexed keywords


EID: 64549158885     PISSN: 00221236     EISSN: 10960783     Source Type: Journal    
DOI: 10.1016/j.jfa.2009.02.021     Document Type: Article
Times cited : (19)

References (38)
  • 1
    • 72149113389 scopus 로고    scopus 로고
    • Bulk universality and clock spacing of zeros for ergodic Jacobi matrices with a.c
    • submitted for publication
    • A. Avila, J. Last, B. Simon, Bulk universality and clock spacing of zeros for ergodic Jacobi matrices with a.c. spectrum, submitted for publication
    • spectrum
    • Avila, A.1    Last, J.2    Simon, B.3
  • 2
    • 64549109014 scopus 로고    scopus 로고
    • Uniform Asymptotics for Polynomials Orthogonal with Respect to a General Class of Discrete Weights and Universality Results for Associated Ensembles
    • Baik J., Kriecherbauer T., McLaughlin K.T.-R., and Miller P.D. Uniform Asymptotics for Polynomials Orthogonal with Respect to a General Class of Discrete Weights and Universality Results for Associated Ensembles. Princeton Ann. of Math. Stud. (2006)
    • (2006) Princeton Ann. of Math. Stud.
    • Baik, J.1    Kriecherbauer, T.2    McLaughlin, K.T.-R.3    Miller, P.D.4
  • 5
    • 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 Inst. Lect. Notes vol. 3 (1999), New York University Press, New York
    • (1999) Courant Inst. Lect. Notes , vol.3
    • Deift, P.1
  • 6
    • 56249092765 scopus 로고    scopus 로고
    • Universality for regular measures satisfying Szego{combining double acute accent}'s condition
    • Findley M. Universality for regular measures satisfying Szego{combining double acute accent}'s condition. J. Approx. Theory 155 (2008) 136-154
    • (2008) J. Approx. Theory , vol.155 , pp. 136-154
    • Findley, M.1
  • 8
    • 0004031120 scopus 로고
    • Pergamon Press/Akademiai Kiado, Budapest
    • Freud G. Orthogonal Polynomials (1971), Pergamon Press/Akademiai Kiado, Budapest
    • (1971) Orthogonal Polynomials
    • Freud, G.1
  • 10
    • 0000078862 scopus 로고
    • Unconditional bases of exponentials and reproducing kernels
    • Complex Analysis and Spectral Theory. Havin V.P., and Nikoslkii N.K. (Eds), Springer, New York
    • Hruscev S.V., Nikolskii N.K., and Pavlov B.S. Unconditional bases of exponentials and reproducing kernels. In: Havin V.P., and Nikoslkii N.K. (Eds). Complex Analysis and Spectral Theory. Lecture Notes in Math. vol. 864 (1981), Springer, New York 214-335
    • (1981) Lecture Notes in Math. , vol.864 , pp. 214-335
    • Hruscev, S.V.1    Nikolskii, N.K.2    Pavlov, B.S.3
  • 12
    • 0036360694 scopus 로고    scopus 로고
    • Universality for eigenvalue correlations from the modified Jacobi unitary ensemble
    • Kuijlaars A.B., and Vanlessen M. Universality for eigenvalue correlations from the modified Jacobi unitary ensemble. Int. Math. Res. Not. 30 (2002) 1575-1600
    • (2002) Int. Math. Res. Not. , vol.30 , pp. 1575-1600
    • Kuijlaars, A.B.1    Vanlessen, M.2
  • 13
    • 0003296160 scopus 로고    scopus 로고
    • Lectures on Entire Functions
    • in collaboration with Yu. Lyubarskii, M. Sodin, V. Tkachenko, American Mathematical Society, Providence
    • Levin B.Ya. Lectures on Entire Functions. in collaboration with Yu. Lyubarskii, M. Sodin, V. Tkachenko. Transl. Math. Monogr. vol. 150 (1996), American Mathematical Society, Providence
    • (1996) Transl. Math. Monogr. , vol.150
    • Levin, B.Ya.1
  • 14
    • 50349083328 scopus 로고    scopus 로고
    • Universality limits involving orthogonal polynomials on the unit circle
    • Levin E., and Lubinsky D.S. Universality limits involving orthogonal polynomials on the unit circle. Comput. Methods Funct. Theory 7 (2007) 543-561
    • (2007) Comput. Methods Funct. Theory , vol.7 , pp. 543-561
    • Levin, E.1    Lubinsky, D.S.2
  • 15
    • 50349090048 scopus 로고    scopus 로고
    • Universality limits in the bulk for varying measures
    • Levin E., and Lubinsky D.S. Universality limits in the bulk for varying measures. Adv. Math. 219 (2008) 743-779
    • (2008) Adv. Math. , vol.219 , pp. 743-779
    • Levin, E.1    Lubinsky, D.S.2
  • 16
    • 60349109189 scopus 로고    scopus 로고
    • Universality limits for exponential weights
    • Levin E., and Lubinsky D.S. Universality limits for exponential weights. Constr. Approx. 29 (2009) 247-275
    • (2009) Constr. Approx. , vol.29 , pp. 247-275
    • Levin, E.1    Lubinsky, D.S.2
  • 17
    • 64549141646 scopus 로고    scopus 로고
    • Universality limits at the soft edge of the spectrum via classical complex analysis
    • manuscript
    • Eli Levin, D.S. Lubinsky, Universality limits at the soft edge of the spectrum via classical complex analysis, manuscript
    • Eli Levin, D.S.L.1
  • 18
    • 58149529598 scopus 로고    scopus 로고
    • A new approach to universality limits at the edge of the spectrum
    • Lubinsky D.S. A new approach to universality limits at the edge of the spectrum. Contemp. Math. (60th Birthday of Percy Deift) vol. 458 (2008) 281-290
    • (2008) Contemp. Math. (60th Birthday of Percy Deift) , vol.458 , pp. 281-290
    • Lubinsky, D.S.1
  • 19
    • 64549128350 scopus 로고    scopus 로고
    • Mutually regular measures have similar universality limits
    • Neamtu M., and Schumaker L. (Eds), Nashboro Press, Nashville
    • Lubinsky D.S. Mutually regular measures have similar universality limits. In: Neamtu M., and Schumaker L. (Eds). Proceedings of Twelfth Texas Conference on Approximation Theory (2008), Nashboro Press, Nashville 256-269
    • (2008) Proceedings of Twelfth Texas Conference on Approximation Theory , pp. 256-269
    • Lubinsky, D.S.1
  • 20
    • 64549115469 scopus 로고    scopus 로고
    • Universality limits at the hard edge of the spectrum for measures with compact support
    • Article ID rnn099, 39 pp
    • Lubinsky D.S. Universality limits at the hard edge of the spectrum for measures with compact support. Int. Math. Res. Not. 2008 (2008) Article ID rnn099, 39 pp
    • (2008) Int. Math. Res. Not. , vol.2008
    • Lubinsky, D.S.1
  • 21
    • 58449086120 scopus 로고    scopus 로고
    • Universality limits in the bulk for arbitrary measures on compact sets
    • Lubinsky D.S. Universality limits in the bulk for arbitrary measures on compact sets. J. Anal. Math. 106 (2008) 373-394
    • (2008) J. Anal. Math. , vol.106 , pp. 373-394
    • Lubinsky, D.S.1
  • 22
    • 84871154942 scopus 로고    scopus 로고
    • A new approach to universality limits involving orthogonal polynomials
    • in press
    • D.S. Lubinsky, A new approach to universality limits involving orthogonal polynomials, Ann. of Math., in press
    • Ann. of Math
    • Lubinsky, D.S.1
  • 23
    • 64549119182 scopus 로고    scopus 로고
    • Explicit orthogonal polynomials for reciprocal polynomial weights on (- ∞, ∞)
    • in press
    • D.S. Lubinsky, Explicit orthogonal polynomials for reciprocal polynomial weights on (- ∞, ∞), Proc. Amer. Math. Soc., in press
    • Proc. Amer. Math. Soc
    • Lubinsky, D.S.1
  • 26
    • 77955489889 scopus 로고    scopus 로고
    • The over(∂, ̄) steepest descent method for orthogonal polynomials on the real line with varying weights
    • Article ID rnn075, 66 pp
    • McLaughlin K.T.-R., and Miller P. The over(∂, ̄) steepest descent method for orthogonal polynomials on the real line with varying weights. Int. Math. Res. Not. 2008 (2008) Article ID rnn075, 66 pp
    • (2008) Int. Math. Res. Not. , vol.2008
    • McLaughlin, K.T.-R.1    Miller, P.2
  • 29
    • 46149132433 scopus 로고
    • Geza Freud, orthogonal polynomials and Christoffel functions: A case study
    • Nevai P. Geza Freud, orthogonal polynomials and Christoffel functions: A case study. J. Approx. Theory 48 (1986) 3-167
    • (1986) J. Approx. Theory , vol.48 , pp. 3-167
    • Nevai, P.1
  • 31
    • 0030684834 scopus 로고    scopus 로고
    • Universality of the local eigenvalue statistics for a class of unitary invariant random matrix ensembles
    • Pastur L., and Schcherbina M. Universality of the local eigenvalue statistics for a class of unitary invariant random matrix ensembles. J. Stat. Phys. 86 (1997) 109-147
    • (1997) J. Stat. Phys. , vol.86 , pp. 109-147
    • Pastur, L.1    Schcherbina, M.2
  • 33
    • 62549087987 scopus 로고    scopus 로고
    • Orthogonal polynomials with exponentially decaying recursion coefficients
    • Simon B. Orthogonal polynomials with exponentially decaying recursion coefficients. Centre Rech. Math. Proc. Lect. Notes 42 (2007) 453-463
    • (2007) Centre Rech. Math. Proc. Lect. Notes , vol.42 , pp. 453-463
    • Simon, B.1
  • 34
    • 58449115710 scopus 로고    scopus 로고
    • Two extensions of Lubinsky's universality theorem
    • Simon B. Two extensions of Lubinsky's universality theorem. J. Anal. Math. 105 (2008) 345-362
    • (2008) J. Anal. Math. , vol.105 , pp. 345-362
    • Simon, B.1
  • 35
    • 64549162059 scopus 로고    scopus 로고
    • The Christoffel-Darboux kernel
    • Perspectives in PDE, Harmonic Analysis and Applications, a Volume in Honor of V.G. Maz'ya's 70th Birthday
    • Simon B. The Christoffel-Darboux kernel. Perspectives in PDE, Harmonic Analysis and Applications, a Volume in Honor of V.G. Maz'ya's 70th Birthday. Proc. Sympos. Pure Math. vol. 79 (2008) 295-335
    • (2008) Proc. Sympos. Pure Math. , vol.79 , pp. 295-335
    • Simon, B.1
  • 37
    • 0012879970 scopus 로고    scopus 로고
    • Asymptotics for Christoffel functions for general measures on the real line
    • Totik V. Asymptotics for Christoffel functions for general measures on the real line. J. Anal. Math. 81 (2000) 283-303
    • (2000) J. Anal. Math. , vol.81 , pp. 283-303
    • Totik, V.1
  • 38
    • 70350012470 scopus 로고    scopus 로고
    • Universality and fine zero spacing on general sets
    • in press
    • V. Totik, Universality and fine zero spacing on general sets, Ark. Mat., in press
    • Ark. Mat
    • Totik, V.1


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