Alex Gamburd

发表

On the Averages of Characteristic Polynomials From Classical Groups

Daniel Bump, D. Bump, Alex Gamburd, 2005 .

Uniform expansion bounds for Cayley graphs of SL2(Fp)

J. Bourgain, Alex Gamburd, 2008 .

Poisson–Dirichlet distribution for random Belyi surfaces

Alex Gamburd, Alex Gamburd, 2006 .

Spectra of elements in the group ring of SU(2)

Peter Sarnak, Dmitry Jakobson, P. Sarnak, 1999 .

Eigenvalue spacings for quantized cat maps

J. Lafferty, D. Rockmore, Alex Gamburd, 2003 .

Strong uniform expansion in $\mathrm{SL}(2,p)$

E. Breuillard, Alex Gamburd, 2009, 0911.3022.

Expansion and random walks in SL_d(Z/p^n Z): II

J. Bourgain, Alex Gamburd, 2008 .

New results on expanders

Jean Bourgain, J. Bourgain, Alex Gamburd, 2006 .

On the Averages of Characteristic Polynomials From Classical Groups

D. Bump, Alex Gamburd, 2005, math-ph/0502043.

Counting formulas associated with some random matrix averages

P. Forrester, Alex Gamburd, 2005, J. Comb. Theory, Ser. A.

Markoff Triples and Strong Approximation

P. Sarnak, J. Bourgain, Alex Gamburd, 2015, 1505.06411.

New tests of the correspondence between unitary eigenvalues and the zeros of Riemann's

J. Lafferty, F. Mezzadri, J. Keating, 2017 .

On the Genus of a Random Riemann Surface

Alex Gamburd, Eran Makover, 2001, math/0104038.

Spectral gaps in SU(d)

Jean Bourgain, J. Bourgain, Alex Gamburd, 2010 .

Affine linear sieve, expanders, and sum-product

P. Sarnak, J. Bourgain, Alex Gamburd, 2010 .

A Spectral Gap Theorem in $SU(d)$

Jean Bourgain, J. Bourgain, Alex Gamburd, 2011, 1108.6264.

Pseudomoments of the Riemann zeta-function and pseudomagic squares

Brian Conrey, Alex Gamburd, B. Conrey, 2003, math/0307213.

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

Jean Bourgain, J. Bourgain, Alex Gamburd, 2007 .

Sieving and expanders

P. Sarnak, J. Bourgain, Alex Gamburd, 2006 .

Poisson–Dirichlet distribution for random Belyi surfaces

Alex Gamburd, A. Gamburd, 2005, math/0501283.

Optical and vibrational properties of toroidal carbon nanotubes.

Mark A Ratner, Carmen Herrmann, J Fraser Stoddart, 2011, Chemistry.

MARKOFF TRIPLES AND STRONG APPROXIMATION TRIPLETS DE MARKOFF ET APPROXIMATION FORTE

P. Sarnak, Alex Gamburd, 2016 .

Strong Uniform Expansion in SL(2, p)

Emmanuel Breuillard, E. Breuillard, Alex Gamburd, 2010 .

Generalization of Selberg's 3/16 Theorem and Affine Sieve

P. Sarnak, J. Bourgain, Alex Gamburd, 2009, 0912.5021.

Expansion Of Product Replacement Graphs

Igor Pak, Alexander Gamburd, I. Pak, 2002, SODA '02.

Uniform diameter bounds for some families of Cayley graphs

Mehrdad Shahshahani, M. Shahshahani, Alex Gamburd, 2004 .

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

Alex Gamburd, Alexander Gamburd, 2002 .

Markoff Surfaces and Strong Approximation: 1

P. Sarnak, J. Bourgain, Alex Gamburd, 2016, 1607.01530.

An asymptotic formula for integer points on Markoff-Hurwitz varieties

Alex Gamburd, Michael Magee, Ryan Ronan, 2016, Annals of Mathematics.

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

P. Sarnak, J. Bourgain, Alex Gamburd, 2011 .

On the girth of random Cayley graphs

Mehrdad Shahshahani, Shlomo Hoory, Aner Shalev, 2007, Random Struct. Algorithms.

Random Matrices, Magic Squares and Matching Polynomials

Persi Diaconis, Alexander Gamburd, P. Diaconis, 2004, Electron. J. Comb..