276 citations · 4.5k across the 293 of their papers we have counts for
20 papers · 1 filter
The dichotomy between structure and randomness, arithmetic progressions, and the primes
Terence Tao
A famous theorem of Szemerédi asserts that all subsets of the integers with positive upper density will contain arbitrarily long arithmetic progressions. There are many different p…
The nonlinear Schrödinger equation with combined power-type nonlinearities
Terence Tao, Monica Visan, Xiaoyi Zhang
We undertake a comprehensive study of the nonlinear Schrödinger equation where is a complex-valued function in spacetime…
The Averaging lemma and regularizing effect
Eitan Tadmor, Terence Tao
We prove new velocity averaging results for second-order multidimensional equations of the general form, $\op(\nabla_x,v)f(x,v)=g(x,v)$ where $\op(\nabla_x,v):=\bba(v)\cdot\nabla_x…
Inverse Littlewood-Offord theorems and the condition number of random discrete matrices
Terence Tao, Van Vu
Consider a random sum , where are i.i.d. random signs and are integers. The Littlewood-Offord problem asks to maximize concentr…
Compressions, convex geometry and the Freiman-Bilu theorem
Ben Green, Terence Tao
We note a link between combinatorial results of Bollobás and Leader concerning sumsets in the grid, the Brunn-Minkowski theorem and a result of Freiman and Bilu concerning the stru…
Maximal multilinear operators
Ciprian Demeter, Terence Tao, Christoph Thiele
We establish multilinear bounds for a class of maximal multilinear averages of functions on one variable, reproving and generalizing the bilinear maximal function bounds of L…