Research Papers
On the Lower Bound of the Spectral Norm of Symmetric Random Matrices with Independent
Entries
Elec. Commun. Probab. vol. 13, 280-290, (2008).
(joint with
Sandrine Peche ).
Wigner Random Matrices with Non-symmetrically Distributed Entries
J. Stat. Phys. , vol. 129, No. 5/6, 857-884, (2007).
(joint with
Sandrine Peche ).
Determinantal Random Fields
Encyclopedia of Mathematical Physics,
(eds. Jean-Pierre Francoise, Greg Naber and Tsou Sheung Tsun).
Oxford: Elsevier, 2006, v.2, pp. 47-53.
Poisson Statistics for the Largest Eigenvalues in
Random Matrix Ensembles
Lect. Notes Phys. 690, 351-364, (2006).
Statistics of Extreme Spacings in
Determinantal Random Point Processes
Moscow Math. J., vol. 5, No.3, 705-719, (2005).
On the Largest Singular Values of Random Matrices
with Independent Cauchy Entries
J. Math. Phys., 46, 033302 (2005), 15 pages,
(joint with
Yan Fyodorov ).
Poisson Statistics for the Largest Eignevalues
of Wigner Random matrices with Heavy Tails
Elec. Commun. Probab., 9 (2004), 82-91.
Janossy Densities of Coupled Random Matrices
Commun. Math. Phys., vol. 251, pp.447-471, (2004).
Janossy Densities I. Determinantal Ensembles
J.Stat.Phys., vol. 113, Nos. 3/4, pp. 595-610, (2003).
(joint with
Alexei Borodin ).
Janossy Densities II. Pfaffian Ensembles
J.Stat.Phys., vol. 113, Nos. 3/4, pp. 611-622, (2003).
On the Largest Eigenvalue of a Random Subgraph of the
Hypercube
Commun. Math. Phys. vol. 239, pp. 53-63, (2003),
arXiv preprint math.PR/0209178
(joint with
Benny Sudakov ).
Gaussian Limit for Determinantal Random point Fields
Annals of Probability, v.30, No.1, pp.171-187, (2002)
A Note on Universality of the Distribution of the
Largest Eigenvalues in Certain Sample Covariance Matrices
J. Stat. Phys., v.108, Nos. 5/6, pp. 1033-1056, (2002)
Random Matrices and Quantum Chaos
Proceedings of the National Academy of Sciences USA, vol. 98, No. 19,
pp 10531-10532, (2001)
(joint with
T.Kriecherbauer and
J.Marklof )
Central Limit Theorem for Linear Statistics in
Classical Compact Groups and Related Combinatorial Identities
Annals of Probability, v. 28, pp. 1353-1370, (2000)
Determinantal Random Point Fields
Russian Mathematical Surveys, vol.55, No.5, pp.923-975, (2000)
and here is the Russian version of the
same paper in Uspehi Matematicheskih Nauk
Gaussian Fluctuation of the Number of Particles in
Airy, Bessel, sine and Other Determinantal Random point Fields
J. Stat. Phys., v.100, Nos. 3/4, pp. 491-522, (2000)
Universality at the Edge of the Spectrum in Wigner
Random Matrices
Commun. Math. Phys., v.207, pp.697-733, (1999)
Level spacings Distribution for Large Random
Matrices: Gaussian Fluctuations
Annals of Mathematics, vol. 148, pp.573-617, (1998)
A Refinement of Wigner's Semicircle Law in
a Neighborhood of the Spectrum edge
Functional Analysis and its Applications, vol. 32, No.2, pp.114-131,
(1998)
(joint with
Ya.Sinai)
and here is the Russian version of the
same paper
Central Limit Theorem for the Traces of
High Powers of Large Random Matrices with Independent Components
Bol. Soc. Bras. Mat vol. 29, No. 1, pp. 1-24, (1998) (volume dedicated
to the memory of Ricardo Mane)
(joint with
Ya.Sinai)
Splitting of the Low Landau Levels into a Set of
Positive Lebesgue Measure under Small Periodic Perturbations
Commun. Math. Phys, vol. 189,
pp.559-575, (1997)
(joint with E.I.Dinaburg and
Ya.Sinai)
Difference Almost-Periodic Schrodinger
Operators : Corollaries of Localization.
Commun. Math. Phys. vol. 153, pp.465-477, (1993)