Département de mathématiques et applications

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19972026

most citedAnalysis of a Random Forests Model

678 citations

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math.AP2025

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 $p$ -Wasserstein distances with respect to convolution in Euclidean spaces both qualitatively and quantitativel…

math.AP2025

On the { $L^{\infty}$ } norms of spectral projectors on shrinking intervals: the cases of some spheres of revolution and of the Euclidean disk

Ambre Chabert, Yves Colin de Verdìère

Given a compact Riemannian surface $M$ , with Laplace-Beltrami operator $Δ$ , for $λ > 0$ , let $P_{λ, λ^{- \frac{1}{3}}}$ be the spectral projector on the bandwidth $[λ-λ^{-\frac{1}{3}}…

math.AP2025

Geodesic convexity and strengthened functional inequalities in submanifolds of Wasserstein space

Louis-Pierre Chaintron, Daniel Lacker

We study the geodesic convexity of various energy and entropy functionals restricted to (non-geodesically convex) submanifolds of Wasserstein spaces with their induced geometry. We…

math.AP2025

Symmetrization on the sphere and applications

Satyanad Kichenassamy

We introduce a new method of symmetrization of mappings on the $n$ -sphere ( $n \geq 2$ ). They are applied to estimate solutions of quasilinear elliptic partial differential equations…

math.AP2025

The Navier-Stokes limit of kinetic equations for low regularity data

Kleber Carrapatoso, Isabelle Gallagher, Isabelle Tristani

In this paper, we investigate the link between kinetic equations (including Boltzmann with or without cutoff assumption and Landau equations) and the incompressible Navier-Stokes e…

math.AP2025

Sharp quantitative Talenti's inequality in particular cases

Paolo Acampora, Jimmy Lamboley

In this paper, we focus on the famous Talenti's symmetrization inequality, more precisely its $L^{p}$ corollary asserting that the $L^{p}$ -norm of the solution to $- Δ v = f^{♯}$ is hig…

Quantitative rigidity of the Wasserstein contraction under convolution

On the {L∞} norms of spectral projectors on shrinking intervals: the cases of some spheres of revolution and of the Euclidean disk

Geodesic convexity and strengthened functional inequalities in submanifolds of Wasserstein space

Symmetrization on the sphere and applications

The Navier-Stokes limit of kinetic equations for low regularity data

Sharp quantitative Talenti's inequality in particular cases

On the { $L^{\infty}$ } norms of spectral projectors on shrinking intervals: the cases of some spheres of revolution and of the Euclidean disk