1

Uniform Expansion Bounds for Cayley Graphs of$SL_2 (F_p )$

Jean Bourgain and Alex Gamburd
Journal:
Annals of Mathematics
Year:
2008
Language:
english
File:
PDF, 974 KB
english, 2008
2

Uniform expansion bounds for Cayley graphs of SL 2 (𝔽 p )

Bourgain, Jean, Gamburd, Alex
Journal:
Annals of Mathematics
Year:
2008
Language:
english
File:
PDF, 237 KB
english, 2008
3

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

Jean Bourgain, Alex Gamburd
Journal:
Inventiones mathematicae
Year:
2008
Language:
english
File:
PDF, 457 KB
english, 2008
4

Affine linear sieve, expanders, and sum-product

Jean Bourgain, Alex Gamburd, Peter Sarnak
Journal:
Inventiones mathematicae
Year:
2010
Language:
english
File:
PDF, 1.46 MB
english, 2010
5

Generalization of Selberg’s( frac{3}{{16}} )theorem and affine sieve

Jean Bourgain, Alex Gamburd, Peter Sarnak
Journal:
Acta Mathematica
Year:
2011
Language:
english
File:
PDF, 453 KB
english, 2011
6

Pseudomoments of the Riemann zeta-function and pseudomagic squares

Brian Conrey, Alex Gamburd
Journal:
Journal of Number Theory
Year:
2006
Language:
english
File:
PDF, 195 KB
english, 2006
7

Strong Uniform Expansion in SL(2,p)

Emmanuel Breuillard, Alex Gamburd
Journal:
Geometric And Functional Analysis
Year:
2010
Language:
english
File:
PDF, 237 KB
english, 2010
8

New results on expanders

Jean Bourgain, Alex Gamburd
Journal:
Comptes Rendus Mathematique
Year:
2006
File:
PDF, 104 KB
2006
9

Counting formulas associated with some random matrix averages

Peter J. Forrester, Alex Gamburd
Journal:
Journal of Combinatorial Theory, Series A
Year:
2006
Language:
english
File:
PDF, 183 KB
english, 2006
10

Expansion and random walks in SLd(ℤ/pnℤ): I

Bourgain, Jean, Gamburd, Alex
Journal:
Journal of the European Mathematical Society
Year:
2008
Language:
english
File:
PDF, 261 KB
english, 2008
11

A Spectral Gap Theorem in SU$(d)$

Bourgain, Jean, Gamburd, Alex
Journal:
Journal of the European Mathematical Society
Year:
2012
Language:
english
File:
PDF, 371 KB
english, 2012
12

Uniform diameter bounds for some families of Cayley graphs

Gamburd, Alex, Shahshahani, Mehrdad
Journal:
International Mathematics Research Notices
Year:
2004
Language:
english
File:
PDF, 156 KB
english, 2004
13

Random walks and expansion in

Jean Bourgain, Alex Gamburd
Journal:
Comptes Rendus Mathematique
Year:
2008
File:
PDF, 133 KB
2008
14

Sieving and expanders

Jean Bourgain, Alex Gamburd, Peter Sarnak
Journal:
Comptes Rendus Mathematique
Year:
2006
File:
PDF, 115 KB
2006
15

Poisson-Dirichlet Distribution for Random Belyi Surfaces

Alex Gamburd
Journal:
The Annals of Probability
Year:
2006
Language:
english
File:
PDF, 1.89 MB
english, 2006
16

On the Averages of Characteristic Polynomials From Classical Groups

Daniel Bump, Alex Gamburd
Journal:
Communications in Mathematical Physics
Year:
2006
Language:
english
File:
PDF, 392 KB
english, 2006
17

Expansion and random walks in SLd(ℤ/pnℤ): II

Bourgain, Jean, Gamburd, Alex
Journal:
Journal of the European Mathematical Society
Year:
2009
Language:
english
File:
PDF, 633 KB
english, 2009
18

Eigenvalue spacings for quantized cat maps

Gamburd, Alex, Lafferty, John, Rockmore, Dan
Journal:
Journal of Physics A: Mathematical and General Physics
Year:
2003
Language:
english
File:
PDF, 209 KB
english, 2003
19

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

Alex Gamburd, Dmitry Jakobson, Peter Sarnak
Journal:
Journal of the European Mathematical Society
Year:
1999
Language:
english
File:
PDF, 221 KB
english, 1999
20

Poisson–Dirichlet distribution for random Belyi surfaces

Gamburd, Alex
Journal:
The Annals of Probability
Year:
2006
Language:
english
File:
PDF, 254 KB
english, 2006
21

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

Alex Gamburd
Journal:
Israel Journal of Mathematics
Year:
2002
Language:
english
File:
PDF, 1.39 MB
english, 2002