Fetching the paper…
Reading the bibliography…
The Tracy-Widom distribution functions involve integrals of a Painlev\'e II function starting from positive infinity.
Abramowitz, M. and Stegun, I. Handbook of Mathematical Functions
1965
Earlier work this paper cites.
Widom, H. The strong Szegö limit theorem for circular arcs. Indiana Univ. Math. J
1971
Earlier work this paper cites.
Szego, G. Orthogonal Polynomials
1975
Earlier work this paper cites.
Dyson, F. Fredholm determinants and inverse scattering problems. Comm. Math. Phys
1976
Earlier work this paper cites.
Hastings, S. and McLeod, J. A boundary value problem associated with the second Painlevé transcendent and the Korteweg de Vries equation. Arch. Rational Mech. Anal
1980
Earlier work this paper cites.
Voros, A. Spectral functions, special functions and the Selberg zeta function. Comm. Math. Phys
1987
Earlier work this paper cites.
Fokas, A., Its, A., and Kitaev, V. Discrete Painlevé equations and their appearance in quantum gravity. Comm. Math. Phys
1991
Earlier work this paper cites.
Mehta, M. Random Matrices
1991
Earlier work this paper cites.
Forrester, P. Exact results and universal asymptotics in the Laguerre random matrix ensemble. J. Math. Phys
1994
Earlier work this paper cites.
Tracy, C. and Widom, H. Level-spacing distributions and the Airy kernel. Comm. Math. Phys
1994
Cited alongside, same era.
Deift, P. and Zhou, X. Asymptotics for the Painlevé II equation. Comm. Pure Appl. Math
1995
Cited alongside, same era.
Tracy, C. and Widom, H. On orthogonal and symplectic matrix ensembles. Comm. Math. Phys
1996
Cited alongside, same era.
Deift, P. Orthogonal Polynomials and Random Matrices: a Riemann-Hilbert Approach
1998
Cited alongside, same era.
Deift, P., Kriecherbauer, T., and McLaughlin, K. New results on the equilibrium measure for logarithmic potentials in the presence of an external field. J. Approx. Theory
1998
Cited alongside, same era.
Baik, J. and Rains, E. M. The asymptotics of monotone subsequences of involutions. Duke Math. J
2001
Later among the works it cites.
Choi, J., Srivastava, M., and Adamchik, V. Multiple gamma and related functions. Appl. Math. and Comp
2003
Later among the works it cites.
Krasovsky, I. Gap probability in the spectrum of random matrices and asymptotics of polynomials orthogonal on an arc of the unit circle. Int. Math. Res. Not
2004
Later among the works it cites.
Deift, P., Its, A., and Krasovsky, I. Asymptotics of the Airy-kernel determinant. arXiv:math.FA/0609451v1 (2006)
2006
Later among the works it cites.
Deift, P., Its, A., Krasovsky, I., and Zhou, X. The Widom-Dyson constant for the gap probability in random matrix theory. arXiv:math.FA/0601535 (2006)
2006
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
1999
Cited alongside, same era.
Deift, P., Kriecherbauer, T., McLaughlin, K., Venakides, S., and Zhou, X. Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory. Comm. Pure Appl. Math
1999
Cited alongside, same era.
Baik, J. and Rains, E. M. Limiting distributions for a polynuclear growth model with external sources. J. Stat. Phys
2000
Cited alongside, same era.
Baik, J. and Rains, E. M. Algebraic aspects of increasing subsequences. Duke Math. J
2001
Cited alongside, same era.
Ehrhardt, T. Dyson’s constants in the asymptotics of the determinants of Wiener-Hopf-Hankel operators with the sine kernel. To appear in Comm. Math. Phys
Cited in the paper.
Ehrhardt, T. Dyson’s constant in the asymptotics of the Fredholm determinant of the sine kernel. Comm. Math. Phys
2006
Later among the works it cites.
Fokas, A., Its, A., Kapaev, A., and Novokshenov, V. Painlevé Transcendents
2006
Later among the works it cites.
Majumdar, S. Random matrices, the Ulam problem, directed polymers & growth models, and sequence matching. arXiv:cond-mat/0701193 (2007)
2007
Closest in time.