276 citations · 4.5k across the 293 of their papers we have counts for
24 papers · 1 filter
Random Martingales and localization of maximal inequalities
Assaf Naor, Terence Tao
Let be a metric measure space. For consider the Hardy-Littlewood maximal operator $$ M_R f(x) \stackrel{\mathrm{def}}{=} \sup_{r \in…
Nonconventional ergodic averages and multiple recurrence for von Neumann dynamical systems
Tim Austin, Tanja Eisner, Terence Tao
The Furstenberg recurrence theorem (or equivalently, Szemerédi's theorem) can be formulated in the language of von Neumann algebras as follows: given an integer , an abel…
Random covariance matrices: Universality of local statistics of eigenvalues
Terence Tao, Van Vu
We study the eigenvalues of the covariance matrix of a large rectangular matrix whose entries are i.i.d. random…
A finitary version of Gromov's polynomial growth theorem
Yehuda Shalom, Terence Tao
We show that for some absolute (explicit) constant , the following holds for every finitely generated group , and all : If there is some for w…
Global well-posedness of the Maxwell-Klein-Gordon equation below the energy norm
Markus Keel, Tristan Roy, Terence Tao
We show that the Maxwell-Klein-Gordon equations in three dimensions are globally well-posed in in the Coulomb gauge for all . This extends pre…
A variation norm Carleson theorem
Richard Oberlin, Andreas Seeger, Terence Tao +2
We strengthen the Carleson-Hunt theorem by proving estimates for the -variation of the partial sum operators for Fourier series and integrals, for . Four a…