678 citations
- Centre National de la Recherche ScientifiqueFR250 papers
- Laboratoire de Probabilités, Statistique et ModélisationFR238 papers
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24 papers · 1 filter
Quantitative rigidity of the Wasserstein contraction under convolution
Max Fathi, Michael Goldman, Daniel Tsodyks
The aim of this paper is to investigate the contraction properties of -Wasserstein distances with respect to convolution in Euclidean spaces both qualitatively and quantitativel…
New invariant surface measures for the cubic Schrödinger equation
Jean-Baptiste Casteras, Ana Bela Cruzeiro, Annie Millet
We construct new invariant measures supported on mass level sets for the cubic defocusing nonlinear Schrödinger equation in dimensions and .
On gelation for the Smoluchowski equation
Nicolas Fournier
Motivated by the recent results of Andreis-Iyer-Magnanini (2023), we provide a short proof, revisiting the one of Escobedo-Mischler-Perthame (2002), that for a large class of coagu…
Hairer's multilevel Schauder estimates without Regularity Structures
Lucas Broux, Francesco Caravenna, Lorenzo Zambotti
We investigate the regularising properties of singular kernels at the level of germs, i.e. families of distributions indexed by points in . First we construct a suita…
Landau damping to partially locked states in the Kuramoto model
Helge Dietert, Bastien Fernandez, David Gérard-Varet
In the Kuramoto model of globally coupled oscillators, partially locked states (PLS) are stationary solutions that incorporate the emergence of partial synchrony when the interacti…
Derivation of a one-way radiative transfer equation in random media
Liliana Borcea, Josselin Garnier
We derive from first principles a one-way radiative transfer equation for the wave intensity resolved over directions (Wigner transform of the wave field) in random media. It is an…