Level spacing distributions and the Bessel kernel

Communications in Mathematical Physics

Volumn 161, Issue 2, 1994, Pages 289-309

  Tracy, Craig A ^a   Widom, Harold ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0342395256     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/BF02099779     Document Type: Article

References (30)

1. The theory of the G-function
2. Asymptotics of level spacing distributions for random matrices
3. Universal scaling of the tail of the density of eigenvalues in random matrix models
4. Exponential ensemble for random matrices
5. Fredholm determinants and inverse scattering problems
6. Eigenvalues and Condition Numbers of Random Matrices
7. The distribution and moments of the smallest eigenvalue of a random matrix of Wishart type
8. Monodromy- and Spectrum-Preserving Deformations I
9. The spectrum edge of random matrix ensembles
10. Reducibility of Painlevé equations
11. Monodromy problem and the boundary condition for some Painlevé equations. Publ. RIMS
12. Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent
13. Universality of random-matrix predictions for the statistics of energy levels
14. A method of integration over matrix variables: IV
15. A non-linear differential equation and a Fredholm determinant
16. Level spacing functions and non-linear differential equations
17. Matrix models of 2D gravity and isomonodromic deformation
18. Correlation functions of random matrix ensembles related to classical orthogonal polynomials
19. On the universality of the level spacing distribution for some ensembles of random matrices
20. Holonomic quantum fields, III, IV
21. Level spacing distributions and the Airy kernel
22. Spin-spin correlation functions for the two-dimensional Ising model: Exact theory in the scaling region