Mathematical Physics © Springer-Verlag 1994 Fredholm Determinants, Differential Equations and Matrix Models
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[1] I. S. Gradshteyn. Table of Integrals, Series and Products, Corrected and Enlarged Edition , 1980 .
[2] M. Jimbo,et al. Monodromy perserving deformation of linear ordinary differential equations with rational coefficients. II , 1981 .
[3] F. David. NON-PERTURBATIVE EFFECTS IN MATRIX MODELS AND VACUA OF TWO DIMENSIONAL GRAVITY , 1992, hep-th/9212106.
[4] É. Brézin. Large N limit and discretized two-dimensional quantum gravity , 1991 .
[5] Kazuo Okamoto. Studies on the Painlevé equations , 1986 .
[6] Michio Jimbo,et al. Monodromy Problem and the Boundary Condition for Some Painlevé Equations , 1982 .
[7] M. Wadati,et al. Correlation Functions of Random Matrix Ensembles Related to Classical Orthogonal Polynomials. III , 1992 .
[8] D. Clark,et al. Estimates of the Hermite and the Freud polynomials , 1990 .
[9] P. Forrester. The spectrum edge of random matrix ensembles , 1993 .
[10] P. Clarkson,et al. Integral equations and exact solutions for the fourth Painlevé equation , 1992, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.
[11] Kazuo Okamoto. Studies on the Painlevé equations II. Fifth Painlevé equation PV , 1987 .
[12] M. Bowick,et al. Universal scaling of the tail of the density of eigenvalues in random matrix models , 1991 .
[13] Freeman J. Dyson,et al. Fredholm determinants and inverse scattering problems , 1976 .
[14] Michio Jimbo,et al. Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. III , 1981 .
[15] R. P. Boas,et al. Higher Transcendental Functions, vols. I and II.Based, in part, on notes left by Harry Bateman.Bateman Project Staff, A. Erdélyi, Ed. McGraw-Hill, New York-London, 1953. vol. I, xxvi + 302 pp.,$6.50; vol. II, xviii + 396 pp., $7.50 , 1954 .
[16] Michael R. Douglas,et al. STRINGS IN LESS THAN ONE DIMENSION , 1990 .
[17] C. Tracy,et al. Introduction to Random Matrices , 1992, hep-th/9210073.
[18] A non-linear differential equation and a Fredholm determinant , 1992 .
[19] B. McCoy,et al. Zero-Field Susceptibility of the Two-Dimensional Ising Model near T c . , 1973 .
[20] Yang Chen,et al. New family of unitary random matrices. , 1993, Physical review letters.
[21] H. Widom. The Asymptotics of a Continuous Analogue of Orthogonal Polynomials , 1994 .
[22] J. Karwowski. Statistical theory of spectra , 1994 .
[24] A. Edelman. Eigenvalues and condition numbers of random matrices , 1988 .
[25] F. Dyson. Statistical Theory of the Energy Levels of Complex Systems. I , 1962 .
[26] Kazuo Okamoto,et al. Studies on the Painlev equations: III. Second and fourth painlev equations,P II andP IV , 1986 .
[27] C. Tracy,et al. Painlevé functions of the third kind , 1977 .
[28] William C. Bauldry. Estimates of asymmetric Freud polynomials on the real line , 1990 .
[29] Michael R. Douglas. Strings in less than one dimension and the generalized KdV hierarchies , 1990 .
[30] Craig A. Tracy,et al. Mathematical Physics © Springer-Verlag 1994 Level Spacing Distributions and the Bessel Kernel , 1993 .
[31] D. F. Hays,et al. Table of Integrals, Series, and Products , 1966 .
[32] Edouard Brézin,et al. Exactly Solvable Field Theories of Closed Strings , 1990 .
[33] J. B. McLeod,et al. Integral Equations and Connection Formulae for the Painlevé Equations , 1992 .
[34] É. Brézin,et al. Exactly Solvable Field Theories of Closed Strings , 1990 .
[35] M. Jimbo,et al. Monodromy Preserving Deformations Of Linear Differential Equations With Rational Coefficients. 1. , 1981 .
[36] C. Tracy,et al. Neutron Scattering and the Correlation Functions of the Ising Model near T c , 1973 .
[37] Vladimir E. Korepin,et al. Differential Equations for Quantum Correlation Functions , 1990 .
[38] Level spacing functions and non linear differential equations , 1993 .
[39] D. Gross,et al. Nonperturbative two-dimensional quantum gravity. , 1990, Physical review letters.
[40] Asymptotics of level-spacing distributions for random matrices. , 1992, Physical review letters.
[41] A. Erdélyi,et al. Higher Transcendental Functions , 1954 .
[42] C. Tracy,et al. Spin spin correlation functions for the two-dimensional Ising model: Exact theory in the scaling region , 1976 .
[43] M. Jimbo,et al. Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent , 1980 .
[44] N. S. Barnett,et al. Private communication , 1969 .
[45] David J. Gross,et al. A Nonperturbative Treatment of Two-dimensional Quantum Gravity , 1990 .