Articles

reed1999sbt

{A Strengthening of Brooks' Theorem}
B. Reed
Journal of Combinatorial Theory, Series B  76  136--149  (1999)

croot06hotspot

A combinatorial proof of the hot spot theorem
E. Croot
      (2006)

bohman07game

The game chromatic number of random graphs
T. Bohman and A. Frieze and B. Sudakov
      (2007)

balister07critical

A critical constant for the $k$-nearest neighbor model
P. Balister and B. Bollob\'as and A. Sarkar and M. J. Walters
      (2007)

balister07connectivity

Connectivity of addable graph classes
P. Balister and B. Bollobás and S. Gerke
      (2007)

addario08diam

Critical random graphs and the structure of a minimum spanning tree
L. Addario-Berry and N. Broutin and B. Reed
Random Structures and Algorithms      (to appear)

achlioptas2005tpv

The two possible values of the chromatic number of a random graph
D. Achlioptas and A. Naor
Annals of Mathematics  162  1335--1351  (2005)

ford2004did

{The distribution of integers with a divisor in a given interval}
K. Ford
arXiv:0401223v1 [math.NT] (to appear in {A}nnals of {M}athematics)      (2004)

costello2006rsm

{Random symmetric matrices are almost surely non-singular}
K. Costello and T. Tao and V. Vu
Duke Math J  135  395--41  (2006)

rudelson2008lop

{The Littlewood--Offord problem and invertibility of random matrices}
M. Rudelson and R. Vershynin
Advances in Mathematics  218  600--633  (2008)

tao2006rms

{On random$\pm$1 matrices: singularity and determinant}
T. Tao and V. Vu
Random Structures and Algorithms  28  1--23  (2006)

tao2008prb

{On the permanent of random Bernoulli matrices}
T. Tao and V. Vu
      (2008)

ruzsa1991nsa

{On the number of sums and differences}
I. Ruzsa
Acta Mathematica Hungarica  58  439--447  (1991)

vu2000rws

{On a refinement of Waring's problem}
V. H. Vu
Duke Math. Journal  105  107--134  (2000)

nathanson2006pan

{Problems in additive number theory, I}
M. B. Nathanson
      (2006)

nathanson08problems3

{Problems in additive number theory, III}
M. B. Nathanson
      (2008)

nathanson2008lfa

Problems in additive number theory, II: linear forms and complementing sets of integers
M. B. Nathanson
arXiv:0801.0001v1 [math.NT]      (2008)

ford08prob

Sharp probability estimates for random walks with barriers
K. Ford
      (2008+)

bieglbock08hales

A variant of the {H}ales-{J}ewett theorem
M. Bieglböck
      (2008)

tao2006jtt

{John-type theorems for generalized arithmetic progressions and iterated sumsets}
T. Tao and V. Vu
arXiv:math/0701005 [math.CO]      (2006)

vu06random

Random discrete matrices
V. H. Vu
      (2008+)

vu2002cnl

{Concentration of non-Lipschitz functions and applications}
V. H. Vu
Random Structures and Algorithms  20  262--316  (2002)

tao2007spr

ON THE SINGULARITY PROBABILITY OF RANDOM {B}ERNOULLI MATRICES
T. TAO and V. VU
Journal of the American Mathematical Society  20  603--628  (2007)

litvak2005ssv

{Smallest singular value of random matrices and geometry of random polytopes}
A. Litvak and A. Pajor and M. Rudelson and N. Tomczak-Jaegermann
Advances in Mathematics  195  491--523  (2005)

keating2000rmt

Random Matrix Theory and $\zeta$ (1/2+ it)
J. P. Keating and N. C. Snaith
Communications in Mathematical Physics  214  57--89  (2000)

ahlswede2001aep

{Advances on Extremal Problems in Number Theory and Combinatorics}
R. Ahlswede
      (2001)

erdos41sidon

ON A PROBLEM OF {S}IDON IN ADDITIVE NUMBER THEORY, AND ON SOME RELATED PROBLEMS
P. Erdős and P. Turán
Journal of the London Mathematical Society  16    (1941)

solymosi08energy

An upper bound on the multiplicative energy
J. Solymosi
      (2008)

vonkoch1901dnp

{Sur la distribution des nombres premiers}
H. von Koch
Acta Mathematica  24  159--182  (1901)

huxley1971dbc

{On the difference between consecutive primes}
M. Huxley
Inventiones Mathematicae  15  164--170  (1971)

tao:ilo

INVERSE {L}ITTLEWOOD-{O}FFORD THEOREMS AND THE CONDITION NUMBER OF RANDOM DISCRETE MATRICES
T. Tao and V. H. Vu
Annals of Mathematics      (2008+)