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In this paper, we first briefly review some recent results on the distribution of the maximal eigenvalue of a $(N\times N)$ random matrix drawn from Gaussian ensembles.
E. P. Wigner, “On the statistical distribution of the widths and spacings of nuclear resonance levels”, Math. Proc. Cambridge Philos. Soc
1951
Earlier work this paper cites.
E. J. Gumbel, Statistics of Extremes
1958
Earlier work this paper cites.
N. Rosenzweig and C. E. Porter, “Repulsion of energy levels in complex atomic spectra”, Phys. Rev. 120
1960
Earlier work this paper cites.
F. J. Dyson, “The Threefold Way. Algebraic structure of symmetry groups and ensembles in quantum mechanics”, J. Math. Phys. 3
1962
Earlier work this paper cites.
A. A. Migdal, “Recursion equations in gauge field theories”, Sov. Phys. JETP
1975
Earlier work this paper cites.
S. P. Hastings and J. B. McLeod, “A boundary value problem associated with the second Painleve transcendent and the Korteweg-de Vries equation”, Arch. Rat. Mech. Anal., 73
1980
Earlier work this paper cites.
D. J. Gross and E. Witten, “Possible third-order phase transition in the large- N N lattice gauge theory”, Phys. Rev. D
1980
Earlier work this paper cites.
S. R. Wadia, “ N = ∞ N=\infty phase transition in a class of exactly soluble model lattice gauge theories”, Phys. Lett
1980
Earlier work this paper cites.
B. Rusakov, “Loop averages and partition functions in U ( N ) {\rm U}(N) gauge theory on two-dimensional manifolds”, Mod. Phys. Lett. A
1990
Earlier work this paper cites.
V. Periwal and D. Shevitz, “Unitary-matrix models as exactly solvable string theories”, Phys. Rev. Lett
1990
Earlier work this paper cites.
M. L. Mehta, Random Matrices
1991
Earlier work this paper cites.
C. A. Tracy and H. Widom, “Level spacing distributions and the Airy kernel”, Comm. Math. Phys
1992
Earlier work this paper cites.
P. J. Forrester, “The spectrum edge of random matrix ensembles”, Nucl. Phys. B 402
1993
Earlier work this paper cites.
M. R. Douglas and V. A. Kazakov, “Large N phase transition in continuum Q C D 2 QCD_{2} ”, Phys. Let. B
1993
Earlier work this paper cites.
D. J. Gross and A. Matytsin, “Instanton induced large N phase transitions in two and four dimensional QCD”, Nucl.Phys. B
1994
Earlier work this paper cites.
C. A. Tracy and H. Widom, “On orthogonal and symplectic matrix ensembles”, Comm. Math. Phys
1995
Earlier work this paper cites.
M. Crescimanno, S. G. Naculich and H. J. Schnitzer, “Evaluation of the free energy of two-dimensional Yang-Mills theory”, Phys. Rev. D
1996
Cited alongside, same era.
K. Johansson, “The longest increasing subsequence in a random permutation and a unitary random matrix model”, Math. Research Lett
1998
Cited alongside, same era.
D. Aldous and P. Diaconis, “Longest increasing subsequences: from patience sorting to the Baik-Deift-Johansson theorem”, Bull. Amer. Math. Soc
1999
Cited alongside, same era.
J. Baik, P. Deift, and K. Johansson, “On the distribution of the length of the longest increasing subsequence of random permutations”, J. Amer. Math. Soc
1999
Cited alongside, same era.
M. Prähofer and H. Spohn, “Universal distributions for growth processes in 1+1 dimensions and random matrices”, Phys. Rev. Lett
2000
Cited alongside, same era.
J. Baik, R. Buckingham and J. DiFranco, “Asymptotics of Tracy-Widom Distributions and the Total Integral of a Painlevé II Function ”, Comm. Math. Phys
2007
Later among the works it cites.
2008
Later among the works it cites.
2008
Later among the works it cites.
M. Mariño, “Nonperturbative effects and nonperturbative definitions in matrix models and topological strings”, Journal of High Energy Physics
2008
Later among the works it cites.
G. Schehr, S. N. Majumdar, A. Comtet, and J. Randon-Furling, “Exact distribution of the maximal height of p p vicious walkers”, Phys. Rev. Lett
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K. Johansson, “ Shape fluctuations and random matrices ”, Commun. Math. Phys
2000
Cited alongside, same era.
J. Gravner, C. A. Tracy, and H. Widom, “ Limit theorems for height fluctuations in a class of discrete space and time growth models”, J. Stat. Phys
2001
Cited alongside, same era.
G. Ben Arous, A. Dembo, and A. Guionnet, “Aging of spherical spin glasses”, Probab. Theory Relat. Fields
2001
Cited alongside, same era.
K. Johansson, “Discrete polynuclear growth and determinantal processes”, Commun. Math. Phys
2003
Cited alongside, same era.
S. N. Majumdar and S. Nechaev, “Anisotropic ballistic deposition model with links to the Ulam problem and the Tracy-Widom distribution”, Phys. Rev. E
2004
Cited alongside, same era.
S. N. Majumdar and S. Nechaev, “Exact asymptotic results for the Bernoulli matching model of sequence alignment”, Phys. Rev. E
2005
Cited alongside, same era.
L. Miettinen et. al. “ Experimental determination of KPZ height-fluctuation distributions”, Euro. Phys. J. B
2005
Cited alongside, same era.
2008
Later among the works it cites.
P. J. Forrester, Log-gases and random matrices
2010
Later among the works it cites.
T. Kriecherbauer and J. Krug, “A pedestrian’s view on interacting particle systems, KPZ universality and random matrices”, J. Phys. A.: Math. Theor
2010
Later among the works it cites.
J. Rambeau and G. Schehr, “Extremal statistics of curved growing interfaces in 1+1 dimensions ”, Europhys. Lett. 91
2010
Later among the works it cites.
T. Sasamoto and H. Spohn, “One-dimensional Kardar-Parisi-Zhang equation: an exact solution and its universality”, Phys. Rev. Lett
2010
Later among the works it cites.
P. Calabrese, P. Le Doussal, A. Rosso, “Free-energy distribution of the directed polymer at high temperature”, Europhys. Lett
2010
Later among the works it cites.
V. Dotsenko, “Bethe ansatz derivation of the Tracy-Widom distribution for one-dimensional directed polymers”, Europhys. Lett
2010
Later among the works it cites.
K. A. Takeuchi and M. Sano, “Universal fluctuations of growing interfaces: evidence in turbulent liquid crystals”, Phys. Rev. Lett
2010
Later among the works it cites.
2010
Later among the works it cites.
P. J. Forrester and C. M. Ormerod, “Differential equations for deformed Laguerre polynomials”, Journal of Approximation Theory
2010
Later among the works it cites.
G. Amir, I. Corwin and J. Quastel, “Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions”, Communications on Pure and Applied Mathematics
2011
Closest in time.
P. J. Forrester, S. N. Majumdar, and G. Schehr, “Non-intersecting Brownian walkers and Yang-Mills theory on the sphere”, Nucl. Phys. B
2011
Closest in time.