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20022009
most citedCentral limit theorems for eigenvalues in a spiked population model

127 citations

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Showing 2004 · math.APShow all

7 papers · 2 filters

math.AP2004

Coupling for some partial differential equations driven by white noise

Giuseppe Da Prato, Arnaud Debussche, Luciano Tubaro

We prove, using coupling arguments, exponential convergence to equilibrium for reaction--diffusion and Burgers equations driven by space-time white noise. We use a coupling by refl…

math.AP2004

Ergodicity for the weakly damped stochastic non-linear Schrödinger equations

Arnaud Debussche, Cyril Odasso

We study a damped stochastic non-linear Schrödinger (NLS) equation driven by an additive noise. It is white in time and smooth in space. Using a coupling method, we establish conve…

math.AP2004★ 22 cited

Linear vs. nonlinear effects for nonlinear Schrodinger equations with potential

Remi Carles

We review some recent results on nonlinear Schrodinger equations with potential, with emphasis on the case where the potential is a second order polynomial, for which the interacti…

math.AP2004

Global existence results for nonlinear Schrodinger equations with quadratic potentials

Remi Carles

We prove that no finite time blow up can occur for nonlinear Schroedinger equations with quadratic potentials, provided that the potential has a sufficiently strong repulsive compo…

math.AP2004

From Bloch model to the rate equations II: the case of almost degenerate energy levels

Brigitte Bidegaray-Fesquet, Francois Castella, Eric Dumas +1

Bloch equations give a quantum description of the coupling between an atom and a driving electric force. In this article, we address the asymptotics of these equations for high fre…

math.AP2004

Cascade of phases in turbulent flows

Christophe Cheverry

This article is devoted to incompressible Euler equations (or to Navier-Stokes equations in the vanishing viscosity limit). It describes the propagation of quasi-singularities. The…