4.2k citations
- Princeton UniversityUS86 papers
- Harvard UniversityUS35 papers
- Albert Einstein College of MedicineUS34 papers
- Center for Astrophysics Harvard & SmithsonianUS26 papers
- California Institute of TechnologyUS24 papers
- University of California, Santa CruzUS22 papers
- University of California, BerkeleyUS20 papers
- University of OxfordGB20 papers
- Centre National de la Recherche ScientifiqueFR19 papers
- Rutgers, The State University of New JerseyUS18 papers
- University of MichiganUS15 papers
- University of Wisconsin–MadisonUS15 papers
32 papers · 1 filter
On the Hardy-Littlewood maximal function for the cube
Jean Bourgain
It is shown that the Hardy-Littlewood maximal function associated to the cube in obeys dimensional free bounds in fir . Earlier work only covered the range…
A Centre-Stable Manifold for the Energy-Critical Wave Equation in R^3 in the Symmetric Setting
Marius Beceanu
Consider the focusing semilinear wave equation in R^3 with energy-critical nonlinearity \partial_t^2 ψ- Δψ- ψ^5 = 0, ψ(0) = ψ_0, \partial_t ψ(0) = ψ_1. This equation admits station…
BPS spectrum, wall crossing and quantum dilogarithm identity
Dan Xie
BPS spectrum with finite number of states are found for higher rank four dimensional N=2 theory engineered from six dimensional A_{N-1} (2,0) theory on a Riemann surface with vario…
The rate of WD-WD head-on collisions may be as high as the SNe Ia rate
Boaz Katz, Subo Dong
We show that a White Dwarf-White Dwarf (WD-WD) binary with semi-major axis a=1-300 AU, which is orbited by a stellar mass outer perturber with a moderate pericenter r_{p, out} \sim…
Sumsets of reciprocals in prime fields and multilinear Kloosterman sums
J. Bourgain, M. Z. Garaev
We obtain new results on additive properties of the set where is an arbitrary interval in the field of residue classes modulo a large pri…
A PRG for Lipschitz Functions of Polynomials with Applications to Sparsest Cut
Daniel Kane, Raghu Meka
We give improved pseudorandom generators (PRGs) for Lipschitz functions of low-degree polynomials over the hypercube. These are functions of the form psi(P(x)), where P is a low-de…