Publications
also available at preprint servers
xxx.lanl.gov
or
front.math.ucdavis.edu
(24)
Total Integrals of global solutions to Painleve II
(with R. Buckingham, J. DiFranco and A. Its) 10/15/2008, 39 pp.
pdf.
(23) On the Christoffel-Darboux kernel for random Hermitian matrices with external source 09/23/2008, 16 pp. pdf.
(22) Asymptotics of Tracy-Widom distributions and the total integral
of a Painleve II function (with R. Buckingham and J. DiFranco) 04/30/2007, 29 pp. pdf.
Comm. Math. Phys., 280(2):463--497, 2008.
(21)
Random Matrix Central Limit Theorems for Non-Intersecting Random Walks
(with T. Suidan)
04/09/2006, 21 pp.
pdf.
Annals of Probability,
35(5):1807--1834, 2007.
(20)
A Model for the Bus System in Cuernevaca (Mexico)
(with A. Borodin, P. Deift and T. Suidan)
10/17/2005, 9 pp.
pdf.
J. Phys. A,
39:8965--8975, 2006.
(19)
Painleve formulas of the limiting distributions
for non-null complex sample covariance matrices
pdf, This paper finds Painleve
formulas of the functions appeared in the paper (16) below.
04/22/05, 24 pp. revised 07/20/50, 25 pp.
Duke Math. J., 133(2):205--235, 2006.
(18)
A GUE Central Limit Theorem and Universality of Directed
Last and First Passage Site Percolation
(with T. M. Suidan)
pdf
ps
12/14/04, 8 pp.
Int. Math. Res. Not., no.6:325--338, 2005.
(17)
Eigenvalues of Large Sample Covariance Matrices of Spiked
Population Models
(with J. W. Silverstein)
pdf
07/27/04, 24 pp.
Journal of Multivariate Analysis, 97(6):1382--1408, 2006.
(16)
Phase transition of the largest eigenvalue for
non-null complex sample covariance matrices
(with G.Ben Arous and S.Peche)
pdf
02/23/04, 52 pp.
Annals of Probability, 33(5):1643-1697, 2005
(15)
Discrete orthogonal polynomials. Asymptotics and applications
(with T.Kriecherbauer, K.McLaughlin and P.Miller)
pdf
10/17/03, 152 pp.
Annals of Math Studies, 164. Princeton University Press, Princeton , NJ 2007. This book is the full version of the anouncement paper (12).
(14)
Limiting distribution of last passage percolation models
pdf
ps
7/21/03, 8 pp.
a survey paper. XIVth International Congress on Mathematical Physics, 339--346, World Sci. Publ., Hackensack, NJ, 2005.
(13)
Products and Ratios of Characteristic Polynomials of Random Hermitian
Matrices
(with P.Deift and E.Strahov)
pdf
ps
4/9/03, 18 pp.
J. Math. Phys., 44 (8):3657-3670, 2003
(12)
Uniform Asymptotics for Polynomials Orthogonal
With Respect to a General Class of Discrete Weights and
Universality Results for Associated Ensembles: Announcement of
Results
(with T.Kriecherbauer, K.McLaughlin and P.Miller)
pdf
1/7/03, 29 pp.
Int. Math. Res. Not., no.15:821-858, 2003
(Full version of this paper is (15) above.)
(11) Painleve expressions for LOE, LSE and interpolating ensembles
ps
pdf
5/6/02, 41 pp., 2 figures.
Int. Math. Res. Not., no.33:1739-1789, 2002
(10) Optimal tail estimates for directed last passage site
percolation with geometric random variables
(with Percy Deift, Ken McLaughlin, Peter Miller and Xin Zhou)
ps
pdf
12/18/01, 41 pp.
Adv. Theor. Math. Phys., 5, no.6:1207-1250, 2001
(9) Riemann-Hilbert problems for last passage percolation
ps
pdf
7/1/01, 24 pp.
Recent Developments in
Integrable Systems and Riemann-Hilbert Problems,
Contemporary Mathematics 326,
1--21, 2003, edited by K.McLaughlin and X.Zhou
a survey paper about the use of RHP in the context of last passage percolation
problems and related topics like longest increasing subsequence, random growth
models and random vicious walks.
(8) A Fredholm determinant identy and the convergence of
moments for random Young tableaux (with P.Deift and E.Rains)
ps
pdf
12/14/00, rev.1/1/01, 45 pp.
Comm. Math. Phys., 223,
no.3:627-672, 2001
(7) Limiting distributions for a polynuclear growth model
with external sources (with E.Rains)
ps
pdf
3/22/00, 15pp.
J. Stat. Phys., 100,
issue 3/4:523-541, Aug. 2000
(6) Random vicious walks and random matrices
ps
pdf
12/29/99, 2/26/00 (revised), 24pp.
Comm. Pure Appl. Math, 53, no.11:1385-1410,
Nov. 2000
(4) The asymptotics of monotone subsequences of involutions
(with E. Rains)
ps
pdf
5/12/99, 1/31/01 (revised),
sequel to the paper (3). 65 pp.
Duke Math. J., 109, issue 2:205-281, 2001
(3) Algebraic aspects of increasing subsequences
(with E. Rains)
ps
pdf
5/12/99, 9/9/99 (revised), 51 pp.
Duke Math. J., 109, issue 1:1-65, 2001
(2) On the distribution of the length of the second row of
a Young diagram under Plancherel measure
(with P. Deift and K. Johansson)
ps
pdf
1/15/99, 25pp.
Geom. Funct. Anal., 10, no.4:702-731, 2000
(1) On the Distribution of the Length of the Longest Increasing
Subsequence of Random Permutations
(with P. Deift and K. Johansson)
ps
pdf
7/2/98, 60pp.
J. Amer. Math. Soc., 12, no.4:1119-1178, 1999