55 citations · 96 across the 7 of their papers we have counts for
8 papers
On Global Solutions of a Zakharov type System
Thomas Beck, Fabio Pusateri, Philippe Sosoe +1
We consider a class of wave-Schroedinger systems with a Zakharov-Schulman type coupling. This class of systems is indexed by a parameter gamma which measures the strength of the nu…
Convergence of the eigenvalue density for beta-Laguerre ensembles on short scales
Philippe Sosoe, Percy Wong
In this note, we prove that the normalized trace of the resolvent of the beta-Laguerre ensemble eigenvalues is close to the Stieltjes transform of the Marchenko-Pastur (MP) distrib…
Regularity conditions in the CLT for linear eigenvalue statistics of Wigner matrices
Philippe Sosoe, Percy Wong
We show that the variance of centred linear statistics of eigenvalues of GUE matrices remains bounded for large for some classes of test functions less regular than Lipschitz f…
Duchon-Robert solutions for the Rayleigh-Taylor and Muskat problems
Thomas Beck, Philippe Sosoe, Percy Wong
We construct analytic solutions to the Euler equations with an interface between two fluids, extending work of Duchon and Robert. We also show that the estimates of Duchon and Robe…
Global wellposedness for a certain class of large initial data for the 3D Navier-Stokes Equations
Percy Wong
In this article, we consider a special class of initial data to the 3D Navier-Stokes equations on the torus, in which there is a certain degree of orthogonality in the components o…
The road to deterministic matrices with the restricted isometry property
Afonso S. Bandeira, Matthew Fickus, Dustin G. Mixon +1
The restricted isometry property (RIP) is a well-known matrix condition that provides state-of-the-art reconstruction guarantees for compressed sensing. While random matrices are k…