Département de mathématiques et applications

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19972026

most citedAnalysis of a Random Forests Model

678 citations

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28 papers · 1 filter

math.DG2025

Huber Theorem revisited in dimensions 2 and 4

Paul Laurain, Dorian Martino

We study the second Huber theorem in dimensions 2 and 4. In dimension 2, we prove a new version assuming that the Gauss curvature lies in a negative Sobolev space using Coulomb fra…

math.DG2023★ 2 cited

Gromov-Thurston manifolds and anti-de Sitter geometry

Daniel Monclair, Jean-Marc Schlenker, Nicolas Tholozan

We consider hyperbolic and anti-de Sitter (AdS) structures on $M \times (0, 1)$ , where $M$ is a $d$ -dimensional Gromov-Thurston manifold. If $M$ has cone angles greater than $2 π$ , we…

math.DG2023

Almost-fuchsian structures on disk bundles over a surface

Samuel Bronstein

Considering an integer $d > 0$ , we show the existence of convex-cocompactrepresentations of surface groups into SO(4,1) admitting an embedded minimal map withcurvatures in $(- 1, 1)$ a…

math.DG2020★ 4 cited

Energy Estimates for the Tracefree Curvature of Willmore Surfaces and Applications

Yann Bernard, Paul Laurain, Nicolas Marque

We prove an $ε$ -regularity result for the tracefree curvature of a Willmore surface with bounded second fundamental form. For such a surface, we obtain a pointwise control of the t…

math.DG2019★ 9 cited

Noncollapsed degeneration of Einstein 4-manifolds II

Tristan Ozuch

In this second article, we prove that any desingularization in the Gromov-Hausdorff sense of an Einstein orbifold is the result of a gluing-perturbation procedure that we develop.…

math.DG2019★ 1 cited

On Differential Invariants of Parabolic Surfaces

Zhangchi Chen, Joël Merker

The algebra of differential invariants under $S A_{3} (R)$ of generic parabolic surfaces $S^{2} \subset R^{3}$ with nonvanishing Pocchiola $4^{th}$ invariant $W$ i…