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We consider a $d$-dimensional gas in canonical equilibrium under pairwise screened Coulomb repulsion and external confinement, and subject to a volume constraint.
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D. S. Dean and S. N. Majumdar, Extreme value statistics of eigenvalues of Gaussian random matrices , Phys. Rev. E 77
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P. Vivo, S. N. Majumdar and O. Bohigas, Distributions of Conductance and Shot Noise and Associated Phase Transitions , Phys. Rev. Lett. 101
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S. N. Majumdar and M. Vergassola, Large Deviations of the Maximum Eigenvalue for Wishart and Gaussian Random Matrices , Phys. Rev. Lett. 102
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S. N. Majumdar, C. Nadal, A. Scardicchio and P. Vivo, The Index Distribution of Gaussian Random Matrices , Phys. Rev. Lett. 103
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A. De Pasquale, P. Facchi, G. Parisi, S. Pascazio and A. Scardicchio, Phase transitions and metastability in the distribution of the bipartite entanglement of a large quantum system , Phys. Rev. A 81
2010
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P. Vivo, S. N. Majumdar and O. Bohigas, Probability distributions of Linear Statistics in Chaotic Cavities and associated phase transitions , Phys. Rev. B 81
2010
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A. J. Bernoff and C. M. Topaz, A primer of swarm equilibria , SIAM J. Appl. Dyn. Syst. 10
2011
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G. Borot, B. Eynard, S. N. Majumdar and C. Nadal, Large deviations of the maximal eigenvalue of random matrices , J. Stat. Mech. P11024
2011
N. Wolchover, At the Far Ends of a New Universal Law , Quanta Mag. (2014), https://lc.cx/Z9ao
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F. D. Cunden, P. Facchi and P. Vivo, Joint statistics of quantum transport in chaotic cavities , EPL 110
2015
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F. D. Cunden, A. Maltsev and F. Mezzadri, Fluctuations in the two-dimensional one-component plasma and associated fourth-order phase transition , Phys. Rev. E 91
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T. Lévy and M. Maïda, On the Douglas-Kazakov phase transition. Weighted potential theory under constraint for probabilists. ESAIM: Proc. 51
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Cited alongside, same era.
P. J. Forrester, S. N. Majumdar and G. Schehr, Non-intersecting Brownian walkers and Yang-Mills theory on the sphere , Nucl, Phys. B 844
2011
Cited alongside, same era.
S. N. Majumdar, C. Nadal, A. Scardicchio and P. Vivo, How many eigenvalues of a Gaussian random matrix are positive? , Phys. Rev. E 83
2011
Cited alongside, same era.
C. Nadal and S. N. Majumdar, A simple derivation of the Tracy-Widom distribution of the maximal eigenvalue of a Gaussian unitary random matrix , J. Stat. Mech. P04001
2011
Cited alongside, same era.
G. Borot and C. Nadal, Purity distribution for generalized random Bures mixed states , J. Phys. A: Math. Theor. 45
2012
Cited alongside, same era.
F. Colomo and A. G. Pronko, Third-order phase transition in random tilings , Phys. Rev. E 88
2013
Cited alongside, same era.
C. Texier and S. N. Majumdar, Wigner time-delay distribution in chaotic cavities and freezing transition . Phys. Rev. Lett. 110
2013
Cited alongside, same era.
R. Allez, J. Touboul and G. Wainrib, Index distribution of the Ginibre ensemble , J. Phys. A: Math. Theor. 47
2014
Cited alongside, same era.
G. Álvarez, L. M. Alonso and E. Medina, Complex saddles in the Gross-Witten-Wadia matrix model , Phys. Rev. D 94
2016
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F. D. Cunden, P. Facchi and P. Vivo, A shortcut through the Coulomb gas method for spectral linear statistics on random matrices , J. Phys. A: Math. Theor. 49
2016
Later among the works it cites.
F. D. Cunden and P. Vivo, Large deviations of spread measures for Gaussian matrices , J. Stat. Mech. 043306
2016
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F. D. Cunden, F. Mezzadri and P. Vivo, Large Deviations of Radial Statistics in the Two-Dimensional One-Component Plasma , J. Stat. Phys. 164
2016
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P. Le Doussal, S. N. Majumdar and G. Schehr, Large deviations for the height in 1D Kardar-Parisi-Zhang growth at late times , EPL 113
2016
Later among the works it cites.
F. D. Cunden, P. Facchi, M. Ligabò and P. Vivo, Universality of the third-order phase transition in the constrained Coulomb gas , J. Stat. Mech. 053303
2017
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A. Dhar, A. Kundu, S. N. Majumdar, S. Sabhapandit and G. Schehr, Exact extremal statistics in the classical 1 d 1d Coulomb gas , Phys. Rev. Lett. 119
2017
Closest in time.
A. Grabsch, S. N. Majumdar and C. Texier, Truncated linear statistics associated with the top eigenvalues of random matrices , J. Stat. Phys. 167
2017
Closest in time.
R. Ebrahimi and S. Zohren, On the extreme value statistics of normal random matrices and 2 D 2D Coulomb gases: Universality and finite N N corrections , J. Stat. Mech. 033301
2018
Closest in time.
B. Lacroix-A-Chez-Toine, A. Grabsch, S. N. Majumdar and G. Schehr, Extremes of 2 d 2d Coulomb gas: universal intermediate deviation regime , J. Stat. Mech. 013203
2018
Closest in time.