119 citations · 463 across the 37 of their papers we have counts for
75 papers
On the Multilinear Restriction and Kakeya conjectures
Jonathan Bennett, Anthony Carbery, Terence Tao
We prove -linear analogues of the classical restriction and Kakeya conjectures in . Our approach involves obtaining monotonicity formulae pertaining to a certain evolution…
Finite bounds for Holder-Brascamp-Lieb multilinear inequalities
Jonathan Bennett, Anthony Carbery, Michael Christ +1
A criterion is established for the validity of multilinear inequalities of a class considered by Brascamp and Lieb, generalizing well-known inequalities of Holder, Young, and Loomi…
Obstructions to uniformity, and arithmetic patterns in the primes
Terence Tao
In this expository article, we describe the recent approach, motivated by ergodic theory, towards detecting arithmetic patterns in the primes, and in particular establishing that t…
Random symmetric matrices are almost surely non-singular
Kevin Costello, Terence Tao, Van Vu
Let denote a random symmetric by matrix, whose upper diagonal entries are i.i.d. Bernoulli random variables (which take values 0 and 1 with probability 1/2). We prove…
The Brascamp-Lieb inequalities: finiteness, structure, and extremals
Jonathan Bennett, Anthony Carbery, Michael Christ +1
We consider the Brascamp--Lieb inequalities concerning multilinear integrals of products of functions in several dimensions. We give a complete treatment of the issues of finitenes…
Szemerédi's regularity lemma revisited
Terence Tao
Szemerédi's regularity lemma is a basic tool in graph theory, and also plays an important role in additive combinatorics, most notably in proving Szemerédi's theorem on arithmetic…