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We analyze the left-tail asymptotics of deformed Tracy-Widom distribution functions describing the fluctuations of the largest eigenvalue in invariant random matrix ensembles after removing each soft edge eigenvalue independently with probability $1-\gamma\in[0,1]$.
M. Ablowitz and H. Segur, Asymptotic solutions of the Korteweg-de Vries equation, Stud. Appl. Math
1976
Earlier work this paper cites.
F. Dyson, Fredholm determinants and inverse scattering problems, Commun. Math. Phys
1976
Earlier work this paper cites.
S. Hastings and J. McLeod, A boundary value problem associated with the second Painlevé transcendent and the Korteweg-de Vries equation, Arch. Ration. Mech. Anal
1980
Earlier work this paper cites.
M. Ablowitz and H. Segur, Asymptotic solutions of nonlinear evolution equations and a Painlevé transcendent, Physica D
1981
Earlier work this paper cites.
E. Basor and H. Widom, Toeplitz and Wiener-Hopf determinants with piecewise continuous symbols, J. Funct. Anal
1983
Earlier work this paper cites.
A. Its, A. Izergin, V. Korepin, and N. Slavnov, Differential equations for quantum correlation functions, Int. J. Mod. Phys. B
1990
Earlier work this paper cites.
P. Deift and X. Zhou, A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation, Ann. Math
1993
Earlier work this paper cites.
C. Tracy and H. Widom, Level-spacing distributions and the Airy kernel, Commun. Math. Phys
1994
Earlier work this paper cites.
A. Budylin and V. Buslaev, Quasiclassical asymptotics of the resolvent of an integral convolution operator with a sine kernel on a finite interval, Algebra i Analiz
1995
Earlier work this paper cites.
The Coulomb fluid and the fifth Painleve transendent. Chen Ning Yang: A Great Physicist of the Twentieth Century (eds. C. Liu and S.-T. Yau), 131–146, International Press, Cambridge (1995)
1995
Earlier work this paper cites.
H. Widom, Asymptotics for the Fredholm determinant of the sine kernel on a union of intervals, Commun. Math. Phys
1995
Earlier work this paper cites.
C. Tracy and H. Widom, On orthogonal and symplectic matrix ensembles, Commun. Math. Phys
1996
Earlier work this paper cites.
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
Earlier work this paper cites.
J. Baik, P. Deift, and K. Johansson, On the distribution of the length of the second row of a Young diagram under Plancherel measure, Geom. Funct. Anal
2000
Earlier work this paper cites.
K. Johansson, Shape fluctuations and random matrices, Commun. Math. Phys
2000
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 and E. Rains, Symmetrized random permutations. Random matrix models and their applications, MSRI Volume 40
2001
Cited alongside, same era.
O. Bohigas and M. Pato, Missing levels in correlated spectra, Phys. Lett. B
2004
Cited alongside, same era.
I. Krasovsky, 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
Cited alongside, same era.
A. Its and I. Krasovsky, Hankel determinant and orthogonal polynomials for the Gaussian weight with a jump, Contemp. Math
2008
Later among the works it cites.
J. Illian, A. Penttinen, H. Stoyan, and D. Stoyan, Statistical analysis and modelling of spatial point patterns
2008
Later among the works it cites.
J. Baik, R. Buckingham, J. DiFranco, and A. Its, Total integrals of Painlevé II solutions, Nonlinearity
2009
Later among the works it cites.
O. Bohigas, J. de Carvalho, and M. Pato, Deformations of the Tracy-Widom distribution, Phys. Rev. E
2009
Later among the works it cites.
T. Claeys, A. Its, and I. Krasovsky, Higher-order analogues of the Tracy-Widom distribution and the Painlevé II hierarchy, Commun. Pure. Appl. Math
2010
Later among the works it cites.
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M. Dieng, Distribution functions for edge eigenvalues in orthogonal and symplectic ensembles: Painlevé representations, Int. Math. Res. Notices
2005
Cited alongside, same era.
O. Bohigas and M. Pato, Randomly incomplete spectra and intermediate statistics, Phys. Rev. E
2006
Cited alongside, same era.
T. Ehrhardt, Dyson’s constant in the asymptotics of the Fredholm determinant of the sine kernel, Commun. Math. Phys
2006
Cited alongside, same era.
P. Forrester, Hard and soft edge spacing distributions for random matrix ensembles with orthogonal and symplectic symmetry, Nonlinearity
2006
Cited alongside, same era.
P. Bleher and A. Kuijlaars, Large n limit of Gaussian random matrices with external source, part III: Double scaling limit, Commun. Math. Phys
2007
Cited alongside, same era.
P. Deift, A. Its, I. Krasovsky, and X. Zhou, The Widom-Dyson constant for the gap probability in random matrix theory, J. Comput. Appl. Math
2007
Cited alongside, same era.
T. Ehrhardt, Dyson’s constants in the asymptotics of the determinants of Wiener-Hopf-Hankel operators with the sine kernel, Commun. Math. Phys
2007
Cited alongside, same era.
P. Forrester, Log-gases and random matrices
2010
Later among the works it cites.
K. Takeuchi and M. Sano, Universal fluctuations of growing interfaces: evidence in turbulent liquid crystals, Phys. Rev. Lett
2010
Later among the works it cites.
G. Borot and C. Nadal, Right tail asymptotic expansion of Tracy-Widom beta laws, Random Matrices Theory Appl
2012
Later among the works it cites.
T. Bothner and A. Its, Asymptotics of a cubic sine kernel determinant, St. Petersburg Math. J
2014
Later among the works it cites.
T. Bothner, P. Deift, A. Its, and I. Krasovsky, On the asymptotic behavior of a log gas in the bulk scaling limit in the presence of a varying external potential I, Commun. Math. Phys
2015
Later among the works it cites.
P. Forrester and A. Mays, Finite size corrections in random matrix theory and Odlyzko’s data set for the Riemann zeros, Proc. Royal Soc. A
2015
Later among the works it cites.
A. Bogatskiy, T. Claeys, and A. Its, Hankel determinant and orthogonal polynomials for a Gaussian weight with a discontinuity at the edge, Commun. Math. Phys
2016
Later among the works it cites.
T. Bothner, From gap probabilities in random matrix theory to eigenvalue expansions, J. Phys. A: Math. Theor
2016
Later among the works it cites.
T. Bothner, Transition asymptotics for the Painlevé II transcendent, Duke Math. J
2017
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