s for Symmetric Groups. J. Am. Math. Soc. v. 13 (2000) no. 3, 481-515
- Prähofer, M.; Spohn, H. Scale invariance of the PNG droplet and the Airy process. Dedicated to David Ruelle and Yasha Sinai on the occasion of their 65th birthdays. J. Statist. Phys. 108 (2002), no. 5-6, 1071-1106.
- Johansson, K. Shape fluctuations and random matrices. Comm. Math. Phys. 209 (2000), no. 2, 437--476. Sasamoto T., Spohn H. Exact height distributions for the KPZ equation with narrow wedge initial condition. Nuclear Physics B v. 834, no. 3, (2010) pp 523-542 ; Amir, G.; Corwin, I.; Quastel, J. Probability Distribution of the Free Energy of the Continuum Directed Random Polymer in 1+ 1 dimensions. Communications on Pure and Applied Mathematics, n/a. doi: 10.1002/cpa.20347 ; Calabrese, P.; Le Doussal, P., Rosso, A. Free-energy distribution of the directed polymer at high temperature. EPL 90 (2010) 20002 ; Dotsenko, V. Replica Bethe ansatz derivation of the Tracy-Widom distribution of the free energy fluctuations in one-dimensional directed polymers. EPL 90 (2010) 20003
- Keating, J. P.; Snaith, N. C. Random matrix theory and $\zeta(1/2+it)$. Comm. Math. Phys. v. 214 (2000), no. 1, 57-89. Keating, J. P.; Snaith, N. C. Random matrix theory and $L$-functions at $s=1/2$. Comm. Math. Phys. 214 (2000), no. 1, 91-110.
- Brézin, É. and Hikami S. Characteristic Polynomials of Random Matrices. Comm. Math. Phys. v 214 (2000) No. 1, 111-135; Hughes, C.P.; Keating, J.P.; O'Connell, N. On the characteristic polynomial of a random unitary matrix. Comm. Math. Phys. v. 220 (2001) no. 2, 429-451; Conrey, J.B.; Farmer, D.W.; Keating, J.P.; Rubinstein, M.O. ; Snaith, N.C. Autocorrelations of Random Matrix polynomials. Comm. Math. Phys. v. 237 (2003) no. 3, 365-395; Strahov, E. ; Fyodorov, Y.V. Universal results for correlations of characteristic polynomials: Riemann-Hilbert approach. Comm. Math. Phys. v. 241 (2003) no. 2-3, 343-382; Borodin, A. ; Strahov, E. Averages of characteristic polynomials in random matrix theory. Comm. Pure Appl. Math. v. 59 (2006) no. 2, 161-253; Conrey, B. ; Farmer, D. W. ; Zirnbauer, M. R. Autocorrelation of ratios of L-functions. Comm. Numb. Theor. Phys. v.2 (2008) no. 3, 593-636; Desrosiers, P. Duality in random matrix ensembles for all beta. Nucl. Phys. B v. 817 (2009) no. 3, 224-251; Osipov, Al. V. ; Kanzieper, E. Correlations of RMT characteristic polynomials and integrability: Hermitean matrices. Ann. Phys. v. 325 (2010) no. 10 , 2251-2306
- Dumitriu, I. ; Edelman, A. Matrix models for beta ensembles. J. Math. Phys. 43 (2002), no. 11, 5830-5847. Edelman, A. ; Rao, N. R. Random matrix theory. Acta Numer. 14 (2005), 233-297.
- Zyczkowski, K; Sommers, H.-J. Truncations of random unitary matrices. J. Phys. A: Math. Gen. v. 33 (2000) no.10, 2045--2057; Fyodorov, Y. V.; Sommers, H.-J. Random matrices close to Hermitian or unitary: overview of methods and results. J. Phys. A: Math.Gen. v. 36 (2003), no. 12, 3303-3347. ; Wiegmann P. and Zabrodin, A. Large scale correlations in normal non-Hermitian matrix ensembles. J. Phys. A: Math. Gen. v. 36 (2003) no.12, 3411-3424 ; Splittorff K. and J.~J.~M.~Verbaarschot J.J.M., Factorization of correlation functions and the replica limit of the Toda lattice equation, Nucl. Phys. B v. 683 (2004) no.3, 467-507 [arXiv:hep-th/0310271]; Akemann, G.; Kanzieper, E. Integrable structure of Ginibre's ensemble of real random matrices and a Pfaffian integration theorem. J. Stat. Phys. v.129 (2007), no. 5-6, 1159-1231; Tao, T; Vu, V. From the Littlewood-Offord problem to the circular law: universality of the spectral distribution of random matrices. Bull. Amer. Math. Soc. (N.S.) 46 (2009), no. 3, 377-396. ; Guionnet, A. ; Krishnapur, M ; Zeitouni, O. The single ring theorem. Arxiv preprint arXiv:0909.2214;
- Ginibre, J. Statistical Ensembles of Complex, Quaternion, and Real Matrices. J. Math. Phys. v. 6,(1965) no.3, 440-450
- Girko, V. L. Circular Law. Theory Probab. Appl. v. 29 (1985) no. 4, 694-706
- Silverstein, J.W.; Bai, Z.D. On the empirical distribution of eigenvalues of a class of large dimensional 