Publications and Preprints

[20] Small deviations for beta ensembles,
with M. Ledoux. Submitted. pdf

[19] Diffusion at the random matrix hard edge,
with J. Ramírez. Comm. Math. Phys. 288, no. 3, 887-906 (2009). pdf

[18] Effect of finite rate feedback on CDMA signature optimization and MIMO beamforming vector selection,
with W. Dai and Y. Liu. IEEE Trans. Info. Theory, 55, no. 8, 3651-3669 (2009) pdf

[17] Janossy densities for unitary ensembles at the spectral edge,
with X. Zhou. IMRN 2008, rnn037-51 (2008). pdf

[16] The Riccati map in random Schrödinger and random matrix theory,
with S. Cambronero and J. Ramírez. Probability, Integrable Systems and Geometry
MSRI Volumes 55, 77-101 (2008). pdf
(This is a little review written for a volume commemorating H.P. McKean's 70th birthday.
It discusses parts of [9], [13] and [15]; it's already out of date. )

[15] Beta ensembles, stochastic Airy spectrum, and a diffusion,
with J. Ramírez and B. Virág. Submitted. pdf

[14] Quantization bounds on Grassman manifolds and applications to MIMO communications,
with W. Dai and Y. Liu. IEEE Trans. Info Theory 54 no. 3, 1108-1124 (2008). pdf

[13] Shape of the ground state energy density of Hill's equation with nice Gaussian potential,
with J. Ramírez. J. Theor. Probab. 21 no. 2, 413-430 (2008). pdf

[12] Complex determinantal processes and H¹ noise,
with B. Virág. Elect. J. Probab. 12, 1238-1257 (2007). pdf

[11] The noise in the Circular Law and the Gaussian free field,
with B. Virág. IMRN 2007, rnm006-32 (2007). pdf

[10] Gaussian fluctuations for non-Hermitian random matrix ensembles,
with J. W. Silverstein. Ann. Probab. 34, 2118-2143 (2006). pdf

[9] On the shape of the ground state eigenvalue density of a random Hill's equation,
with S. Cambronero and J. Ramírez. Comm. Pure Appl. Math. 59, 935-976 (2006). pdf
(Note: The published version has some very bad typos - the main result is incorrectly reported in the abstract for instance.
The present version is (more) correct.)

[8] Parabolic behavior of a hyperbolic delay equation,
with T. Laurent and M. Reed. SIAM J. Math. Analysis 38, 1-15 (2006). pdf

[7] Deviations from the Circular Law.
Probab. Theory Rel. Fields 130, 337 - 367 (2004). pdf

[6] Concentration of permanent estimators for certain large matrices,
with S. Friedland and O. Zeitouni. Ann. Appl. Probab. 14, 1559-1576 (2004). pdf

[5] Order statistics and Ginibre's ensembles.
J. Stat. Phys. 114, 1139-1148 (2004). pdf

[4] Fluctuations in the thermodynamic limit of focussing cubic Schrödinger.
J. Stat. Phys. 113, 575-594 (2003). pdf

[3] A limit theorem at the edge of a non-Hermitian random matrix ensemble.
J. Phys. A: Math. Gen. 36, 3401-3409 (2003). pdf

[2] Brownian Motion with restoring drift: micro-canonical ensemble and thermodynamic limit.
Comm. Math. Phys. 231, 463-480 (2002). pdf

[1] On the ∞-volume limit of focussing cubic Schrödinger
Comm. Pure Appl. Math. 55, 1231-1248 (2002). pdf