École Normale Supérieure - PSL

works on

astronomical imaging 1 constant-time programming 1 convergence analysis 1 CT transparency 1 decompilation 1 detector technology 1 distribution matching 1 fiber optics 1 gaussian distributions 1 heterodyne detection 1 information theory 1 k-sat 1

From the 5 of 163 papers with an AI index.

most citedGWTC-4.0: An Introduction to Version 4.0 of the Gravitational-Wave Transient Catalog

50 citations

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math.AP2026

Small-time local control of a SchrÃ¶dinger equation: a negative and a positive quadratic result

Karine Beauchard, FrÃ©dÃ©ric Marbach, Thomas Perrin

We study the small-time local controllability (STLC) of a bilinear SchrÃ¶dinger equation with Neumann boundary conditions near its ground state. We focus on the degenerate case whe…

math.AP2026

Conditional appearance of decay for the non-cutoff Boltzmann equation in a bounded domain

Cyril Imbert, AmÃ©lie Loher

This work is concerned with the generation of decay estimates in the velocity variable for solutions of the space-inhomogeneous Boltzmann equation without cutoff on a bounded spati…

math.AP2026

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 VerdÃ¬Ã¨re

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

math.AP2026

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 $- I^ v = f^{♯}$ is hi…

math.AP2026

The unique limit of the Glimm-Lax construction for Sobolev data and obstructions to 1-d convex integration

Jeffrey Cheng, Cooper Faile, Sam G. Krupa

We consider a genuinely nonlinear $1$ -d system of hyperbolic conservation laws with two unknowns. A famous construction of Glimm & Lax shows that global-in-time "Glimm-Lax" weak en…

math.AP2025★ 10 cited

Fine multibubble analysis in the higher-dimensional Brezis-Nirenberg problem

Tobias KÃ¶nig, Paul Laurain

For a bounded set $I^c ◯ \subset R^{N}$ and a perturbation $V \in C^{1} (I^c ◯)$ , we analyze the concentration behavior of a blow-up sequence of positive solutions to \[ -Îu_…

Small-time local control of a SchrÃ¶dinger equation: a negative and a positive quadratic result

Conditional appearance of decay for the non-cutoff Boltzmann equation in a bounded domain

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

Sharp quantitative Talenti's inequality in particular cases

The unique limit of the Glimm-Lax construction for Sobolev data and obstructions to 1-d convex integration

Fine multibubble analysis in the higher-dimensional Brezis-Nirenberg problem

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