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

238 citations

Showing 2013 · math.APShow all

7 papers · 2 filters

math.AP2013

Stability of large periodic solutions of Klein-Gordon near a homoclinic orbit

Benoît Grébert, Tiphaine Jézéquel, Laurent Thomann

We consider a Klein-Gordon equation (KG) on a Riemannian compact surface, for which the flow lets invariant the two dimensional space the solutions independent of the space variabl…

math.AP2013★ 7 cited

Random weighted Sobolev inequalities and application to quantum ergodicity

Didier Robert, Laurent Thomann

This paper is a continuation of Poiret-Robert-Thomann (2013) where we studied a randomisation method based on the Laplacian with harmonic potential. Here we extend our previous res…

math.AP2013★ 17 cited

Bilinear dispersive estimates via space-time resonances, part II: dimensions 2 and 3

Frederic Bernicot, Pierre Germain

Consider a bilinear interaction between two linear dispersive waves with a generic resonant structure (roughly speaking, space and time resonant sets intersect transversally). We d…

math.AP2013★ 20 cited

Probabilistic global well-posedness for the supercritical nonlinear harmonic oscillator

Aurélien Poiret, Didier Robert, Laurent Thomann

Thanks to an approach inspired from Burq-Lebeau \cite{bule}, we prove stochastic versions of Strichartz estimates for Schrödinger with harmonic potential. As a consequence, we show…

math.AP2013

Amplification of pulses in nonlinear geometric optics

Jean-Francois Coulombel, Mark Williams

In this companion paper to our study of amplification of wavetrains, we study weakly stable semilinear hyperbolic boundary value problems with pulse data. Here weak stability means…

math.AP2013

Random weighted Sobolev inequalities on and application to Hermite functions

Aurélien Poiret, Didier Robert, Laurent Thomann

We extend a randomisation method, introduced by Shiffman-Zelditch and developed by Burq-Lebeau on compact manifolds for the Laplace operator, to the case of with the…

math.AP2013★ 2 cited

On the global well-posedness for Euler equations with unbounded vorticity

Frederic Bernicot, Taoufik Hmidi

In this paper, we are interested in the global persistence regularity for the 2D incompressible Euler equations in some function spaces allowing unbounded vorticities. More precise…