UNIFORM ASYMPTOTICS FOR POLYNOMIALS ORTHOGONAL WITH RESPECT TO VARYING EXPONENTIAL WEIGHTS AND APPLICATIONS TO UNIVERSALITY QUESTIONS IN RANDOM MATRIX THEORY
暂无分享,去创建一个
Stephanos Venakides | Percy Deift | T. Kriecherbauer | P. Deift | T. Kriecherbauer | S. Venakides | Xin Zhou | K. Mclaughlin | Xin Zhou | K. T-R McLaughlin
[1] D. R. Heath-Brown. RANDOM MATRICES, FROBENIUS EIGENVALUES, AND MONODROMY (American Mathematical Society Colloquium Publications 45) By N ICHOLAS M. K ATZ and P ETER S ARNAK : 419 pp., US$69.00, ISBN 0 8218 1017 0 (American Mathematical Society, 1998). , 2000 .
[2] P. Nevai. Asymptotics for Orthogonal Polynomials Associated with $\exp ( - x^4 )$ , 1984 .
[3] C. David Levermore,et al. The Small Dispersion Limit of the Korteweg-deVries Equation. I , 1982 .
[4] Stephanos Venakides,et al. Asymptotics for polynomials orthogonal with respect to varying exponential weights , 1997 .
[5] M. L. Mehta,et al. ON THE DENSITY OF EIGENVALUES OF A RANDOM MATRIX , 1960 .
[6] E. A. Rakhmanov. Strong asymptotics for orthogonal polynomials , 1993 .
[7] The behavior of the weyl function in the zero-dispersion KdV limit , 1997 .
[8] Milton Abramowitz,et al. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables , 1964 .
[9] Stephanos Venakides,et al. Strong asymptotics of orthogonal polynomials with respect to exponential weights , 1999 .
[10] Xin Zhou. The Riemann-Hilbert problem and inverse scattering , 1989 .
[11] Stephanos Venakides,et al. New results in small dispersion KdV by an extension of the steepest descent method for Riemann-Hilbert problems , 1997 .
[12] D. Lubinsky. Strong asymptotics for extremal errors and polynomials associated with Erdös-type weights , 1989 .
[13] P. Deift,et al. Asymptotics for the painlevé II equation , 1995 .
[14] Carlos Tomei,et al. Direct and inverse scattering on the line , 1988 .
[15] Athanassios S. Fokas,et al. The isomonodromy approach to matric models in 2D quantum gravity , 1992 .
[16] C. David Levermore,et al. The small dispersion limit of the Korteweg‐de Vries equation. III , 1983 .
[17] M. Gaudin. Sur la loi limite de l'espacement des valeurs propres d'une matrice ale´atoire , 1961 .
[18] I. Gohberg,et al. Factorization of Matrix Functions and Singular Integral Operators , 1980 .
[19] Alexander Its,et al. Isomonodromic Deformation Method in the Theory of Painleve Equations , 1986 .
[20] L. Pastur. Spectral and probabilistic aspects of matrix models , 1996 .
[21] Alexander Its,et al. A Riemann-Hilbert approach to asymptotic problems arising in the theory of random matrix models, and also in the theory of integrable statistical mechanics , 1997 .
[22] K. Johansson. On fluctuations of eigenvalues of random Hermitian matrices , 1998 .
[23] P. Deift,et al. A steepest descent method for oscillatory Riemann–Hilbert problems. Asymptotics for the MKdV equation , 1993 .
[24] Athanassios S. Fokas,et al. Discrete Painlevé equations and their appearance in quantum gravity , 1991 .
[25] L. Pastur,et al. Universality of the local eigenvalue statistics for a class of unitary invariant random matrix ensembles , 1997 .
[26] B. Simon. Trace ideals and their applications , 1979 .
[27] P. Deift. Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach , 2000 .
[28] Ronald R. Coifman,et al. Scattering and inverse scattering for first order systems , 1984 .
[29] Rong-Chyu Sheen. Plancherel-Rotach-type asymptotics for orthogonal polynomials associated with exp(- x 6 /6) , 1987 .