Level-spacing distributions and the Airy kernel

Communications in Mathematical Physics

Volumn 159, Issue 1, 1994, Pages 151-174

  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: 27644532196     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/BF02100489     Document Type: Article

References (31)

1. Exact linearization of a Painlevé transcendent
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. A connection formula for the second Painlevé transcendent
5. Integral equations and connection formulae for the Painlevé equations
6. Statistical theory of energy levels of complex systems, I, II, and III
7. Fredholm determinants and inverse scattering problems
8. On the eigenvalues of an integral equation arising in the theory of band-limited signals
9. A boundary value problem associated with the second Painlevé transcendent and the Korteweg-de Vries equation
10. Differential equations for quantum correlation functions
11. Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent
12. Connection between the KdV equation and the twodimensional Ising model
13. A non-linear differential equation and a Fredholm determinant
14. Matrix models of 2 D gravity and isomonodromic deformation
15. Geometry of quadrics and spectral theory
16. Sur les équations différentielles du second ordre et d'ordre supérieur dont l'intégrale générale est uniforme
17. Prolate spheroidal wave functions, Fourier analysis and uncertainty-I
18. Level spacing distributions and the Airy kernel
19. The strong Szegő limit theorem for circular arcs