2.1k citations
- Space Telescope Science InstituteUS58 papers
- University of ArizonaUS48 papers
- Oak Ridge National LaboratoryUS35 papers
- Chinese Academy of SciencesCN34 papers
- Arizona State UniversityUS33 papers
- Centre National de la Recherche ScientifiqueFR31 papers
- Center for Astrophysics Harvard & SmithsonianUS29 papers
- Université Bourgogne Franche-ComtéFR29 papers
- University of ManchesterGB29 papers
- Johns Hopkins UniversityUS27 papers
- National Astronomical ObservatoriesCN27 papers
- California Institute of TechnologyUS24 papers
14 papers · 1 filter
Erdos distance problem in vector spaces over finite fields
Alex Iosevich, Misha Rudnev
We study the Erdös/Falconer distance problem in vector spaces over finite fields. Let be a finite field with elements and take , .…
On the True Nature of Turbulence
Y. Charles Li
In this article, I would like to express some of my views on the nature of turbulence. These views are mainly drawn from the author's recent results on chaos in partial differentia…
Invertibility of random matrices: norm of the inverse
Mark Rudelson
Let A be an n by n matrix, whose entries are independent copies of a centered random variable satisfying the subgaussian tail estimate. We prove that the operator norm of A^{-1} do…
New approaches to bounding the multiplicity of an ideal
Christopher A. Francisco
We use the theory of resolutions for a given Hilbert function to investigate the multiplicity conjectures of Huneke and Srinivasan and Herzog and Srinivasan. To prove the conjectur…
The resonance counting function for Schrödinger operators with generic potentials
T. Christiansen, P. D. Hislop
We show that the resonance counting function for a Schrödinger operator has maximal order of growth for generic sets of real-valued, or complex-valued, -compactly support…
Invariant Manifolds and Their Zero-Viscosity Limits for Navier-Stokes Equations
Y. Charles Li
First we prove a general spectral theorem for the linear Navier-Stokes (NS) operator in both 2D and 3D. The spectral theorem says that the spectrum consists of only eigenvalues whi…