output
19962026
most citedDeterminantal point process models and statistical inference : Extended version

238 citations

Showing 2011 · math.APShow all

7 papers · 2 filters

math.AP2011★ 26 cited

An analytical solution of Shallow Water system coupled to Exner equation

Christophe Berthon, Stéphane Cordier, Minh H. Le +1

In this paper, an exact smooth solution for the equations modeling the bedload transport of sediment in Shallow Water is presented. This solution is valid for a large family of sed…

math.AP2011★ 49 cited

Resonant dynamics for the quintic non linear Schrödinger equation

Benoît Grebert, Laurent Thomann

We consider the quintic nonlinear Schrödinger equation (NLS) on the circle. We prove that there exist solutions corresponding to an initial datum built on four Fourier modes which…

math.AP2011

High frequency resolvent estimates for perturbations by large long-range magnetic potentials and applications to dispersive estimates

Fernando Cardoso, Claudio Cuevas, Georgi Vodev

We prove optimal high-frequency resolvent estimates for perturbations of the Laplacian by large long-range magnetic and electric potentials in all dimensions . As an applic…

math.AP2011

Normalizations with exponentially small remainders for nonautonomous analytic periodic vector fields

Tiphaine Jézéquel

In this paper we deal with analytic nonautonomous vector fields with a periodic time-dependancy, that we study near an equilibrium point. In a first part, we assume that the linear…

math.AP2011

Propagation of low regularity for solutions of nonlinear PDEs on a Riemannian manifold with a sub-Laplacian structure

Frédéric Bernicot, Yannick Sire

Following \cite{B2}, we introduce a notion of para-products associated to a semi-group. We do not use Fourier transform arguments and the background manifold is doubling, endowed w…

math.AP2011

A perturbation result for the Riesz transform

Baptiste Devyver

We show a perturbation result for the boundedness of the Riesz transform : if and are complete Riemannian manifolds satisfying a Sobolev inequality of dimension , whic…

math.AP2011

Nonlinear quasimodes near elliptic periodic geodesics

Pierre Albin, Hans Christianson, Jeremy L. Marzuola +1

We consider the nonlinear Schrödinger equation on a compact manifold near an elliptic periodic geodesic. Using a geometric optics construction, we construct quasimodes to a nonline…