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On the averages of characteristic polynomials from classical groups

Communications in mathematical physics, 2006-07, Vol.265 (1), p.227-274

2006

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On the spectral gap for finitely-generated subgroups of SU(2)

Inventiones mathematicae, 2008-01, Vol.171 (1), p.83-121

2008

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An asymptotic formula for integer points on Markoff-Hurwitz varieties

Annals of mathematics, 2019-11, Vol.190 (3), p.751-809

2019

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Affine linear sieve, expanders, and sum-product

Inventiones mathematicae, 2010-03, Vol.179 (3), p.559-644

2010

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Uniform expansion bounds for Cayley graphs of SL2(Fp)

Annals of mathematics, 2008-03, Vol.167 (2), p.625-642

2008

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A spectral gap theorem in SU$(d)

Journal of the European Mathematical Society : JEMS, 2012-01, Vol.14 (5), p.1455-1511

2012

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Random Matrices, Magic Squares and Matching Polynomials

The Electronic journal of combinatorics, 2004-06, Vol.11 (2)

2004

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Generalization of Selberg’s $ \frac{3}{{16}} $ theorem and affine sieve

Acta mathematica, 2011, Vol.207 (2), p.255-290

2011

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Generalization of Selberg's 3 /16 theorem and affine sieve

Acta mathematica, 2011-12, Vol.207 (2), p.255-290

2011

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Strong Uniform Expansion in SL(2, p)

Geometric and functional analysis, 2010-11, Vol.20 (5), p.1201-1209

2010

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On the spectral gap for infinite index “congruence” subgroups of SL2(Z)

Israel journal of mathematics, 2002-01, Vol.127 (1), p.157-200

Gamburd, Alex

2002

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Expansion and random walks in $\mathrm{SL}_d(\mathbb{Z}/p^n \mathbb{Z})$: II

Journal of the European Mathematical Society : JEMS, 2009-10, Vol.11 (5), p.1057-1103

2009

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Counting formulas associated with some random matrix averages

Journal of combinatorial theory. Series A, 2006-08, Vol.113 (6), p.934-951

2006

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Sieving and expanders

Comptes rendus. Mathématique, 2006-08, Vol.343 (3), p.155-159

2006

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Random walks and expansion in SLd(Z/ pnZ)

Comptes rendus. Mathématique, 2008-06, Vol.346 (11-12), p.619-623

2008

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Random walks and expansion in

Comptes rendus. Mathématique, 2008-06, Vol.346 (11-12), p.619-623

2008

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Expansion and random walks in $\mathrm{SL}_d(\mathbb{Z}/p^n\mathbb{ℤ})$: I

Journal of the European Mathematical Society : JEMS, 2008-12, Vol.10 (4), p.987-1011

2008

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Random walks and expansion in SL d ( Z / p n Z )

Comptes rendus. Mathématique, 2008, Vol.346 (11), p.619-623

2008

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Generalization of Selberg’s theorem and affine sieve

Acta mathematica, 2011, Vol.207 (2), p.255-290

2011

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Pseudomoments of the Riemann zeta-function and pseudomagic squares

Journal of number theory, 2006-04, Vol.117 (2), p.263-278

2006

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Spectra of elements in the group ring of $\mathrm{SU}(2)

Journal of the European Mathematical Society : JEMS, 1999-03, Vol.1 (1), p.51-85

1999

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Uniform diameter bounds for some families of Cayley graphs

International Mathematics Research Notices, 2004, Vol.2004 (71), p.3813-3824

2004

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Sieving and expanders ⁎ ⁎ The first author was supported in part by NSF grant DMS-0322370. The second author was supported in part by NSF grant DMS-0111298 and DMS-0501245. The third author was supported in part by Oscar Veblen Fund (IAS) and the NSF

Comptes rendus. Mathématique, 2006, Vol.343 (3), p.155-159

2006

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Random Walks and Geometry: Proceedings of a Workshop at the Erwin Schrödinger Institute, Vienna, June 18 - July 13, 2001

1. Aufl., 2004

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Some applications of symmetric functions theory in random matrix theory

Ranks of Elliptic Curves and Random Matrix Theory, 2007, p.143-170

Gamburd, Alex

2007

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On the averages of characteristic polynomials from classical groups

On the spectral gap for finitely-generated subgroups of SU(2)

An asymptotic formula for integer points on Markoff-Hurwitz varieties

Affine linear sieve, expanders, and sum-product

Uniform expansion bounds for Cayley graphs of SL2(Fp)

A spectral gap theorem in SU$(d)

Random Matrices, Magic Squares and Matching Polynomials

Generalization of Selberg’s $ \frac{3}{{16}} $ theorem and affine sieve

Generalization of Selberg's 3 /16 theorem and affine sieve

Strong Uniform Expansion in SL(2, p)

On the spectral gap for infinite index “congruence” subgroups of SL2(Z)

Expansion and random walks in $\mathrm{SL}_d(\mathbb{Z}/p^n \mathbb{Z})$: II

Counting formulas associated with some random matrix averages

Sieving and expanders

Random walks and expansion in SLd(Z/ pnZ)

Random walks and expansion in

Expansion and random walks in $\mathrm{SL}_d(\mathbb{Z}/p^n\mathbb{ℤ})$: I

Random walks and expansion in SL d ( Z / p n Z )

Generalization of Selberg’s theorem and affine sieve

Pseudomoments of the Riemann zeta-function and pseudomagic squares

Spectra of elements in the group ring of $\mathrm{SU}(2)

Uniform diameter bounds for some families of Cayley graphs

Sieving and expanders ⁎ ⁎ The first author was supported in part by NSF grant DMS-0322370. The second author was supported in part by NSF grant DMS-0111298 and DMS-0501245. The third author was supported in part by Oscar Veblen Fund (IAS) and the NSF

Random Walks and Geometry: Proceedings of a Workshop at the Erwin Schrödinger Institute, Vienna, June 18 - July 13, 2001

Some applications of symmetric functions theory in random matrix theory

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