Publications and Preprints

[23] Hard edge tail asymptotics,
with J. Ramírez and O. Zeitouni. Submitted. pdf

[22] Perturbed Toeplitz operators and radial determinantal processes
with T. Ehrhardt. Submitted. pdf

[21] A solvable mixed charge ensemble on the line: global results
with C. Sinclair and Y. Xu. To appear, PTRF. pdf

[20] Beta ensembles, stochastic Airy spectrum, and a diffusion,
with J. Ramírez and B. Virág. JAMS 24 (2011), 919-944. pdf

[19] Small deviations for beta ensembles,
with M. Ledoux. Elect. J. Probab. 15 (2010), 1319-1343. pdf

[18] Diffusion at the random matrix hard edge,
with J. Ramírez. Comm. Math. Phys. 288 (2009), 887-906. pdf.
(And here is an erratum to fix Theorem 2.)

[17] 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 (2009), 3651-3669. pdf

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

[15] The Riccati map in random Schrödinger and random matrix theory,
with S. Cambronero and J. Ramírez. Probability, Integrable Systems and Geometry
MSRI Volumes 55 (2008), 77-101. pdf
(This is a little review written for a volume commemorating H.P. McKean's 70th birthday.
It discusses parts of [9], [13] and [20]. )

[14] Quantization bounds on Grassman manifolds and applications to MIMO communications,
with W. Dai and Y. Liu. IEEE Trans. Info Theory 54 (2008), 1108-1124. pdf

[13] Shape of the ground state energy density of Hill's equation with nice Gaussian potential,
with J. Ramírez. J. Theor. Probab. 21 (2008), 413-430. pdf

[12] Complex determinantal processes and H¹ noise,
with B. Virág. Elect. J. Probab. 12 (2007), 1238-1257. 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 (2006), 2118-2143. 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 (2006), 935-976. pdf
(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 (2006), 1-15. pdf

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

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

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

[4] Fluctuations in the thermodynamic limit of focussing cubic Schrödinger.
J. Stat. Phys. 113 (2003), 575-594. 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 (2002), 463-480. pdf

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