Publications

• Article dans une revue

Thick trace at infinity for the Hyperbolic Radial Spanning Tree

David Coupier, Lucas Flammant, Viet Chi Tran

Since the works of Howard & Newman (2001), it is known that in straight radial rooted trees, with probability 1, infinite paths all have an asymptotic direction and each asymptotic direction is reached by (at least) an infinite path. Moreover, there exists a set of 'exceptionnal'…

Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2025. ⟨hal-03928226⟩

• Article dans une revue

Goal-oriented error estimation based on equilibrated flux reconstruction for the approximation of the harmonic formulations in eddy current problems

Emmanuel Creusé, Serge Nicaise, Zuqi Tang

In this work, we propose an a posteriori goal-oriented error estimator for the harmonic A/Phi formulation arising in the modeling of eddy current problems, approximated by nonconforming finite element methods. It is based on the resolution of an adjoint problem associated with the initial one. For…

IMA Journal of Numerical Analysis, In press, ⟨10.1093/imanum/drad107⟩. ⟨hal-03954215v2⟩

• Article dans une revue

Covariance parameter estimation of Gaussian processes with approximated functional inputs

Lucas Reding, Andrés F. López-Lopera, François Bachoc

Journal of Multivariate Analysis, 2025, 205, pp.105380. ⟨10.1016/j.jmva.2024.105380⟩. ⟨hal-04844122⟩

• Article dans une revue

Improving mechanical stability of SBA-15 monoliths prepared from polymeric scaffolds replication using bentonite clay

Ridvan Yildiz, Jérémy Dhainaut, Carmen Ciotonea, Jean-Philippe Dacquin, Sébastien Royer, Christian Courtois, Yannick Lorgouilloux

The preparation of porous yet mechanically stable centimetric monoliths remains challenging using traditional methods. Herein, hierarchical SBA-15-based porous monoliths, with three levels of porosity (micro- and mesopores from the pores arrangement of the silica structure, and macropores from the…

Journal of Porous Materials, 2025, ⟨10.1007/s10934-025-01791-0⟩. ⟨hal-05008616⟩

• Article dans une revue

Method for Connection of Two G2 Data Sets by the Use of a Quintic Rational Bézier Curve Defined with Mass Control Points

Lionel Garnier, Jean-Paul Bécar, Laurent Fuchs

<div><p>The paper deals with the G 2 continuity or planar curves. The G 2 continuity is considered as a superior quality o curvature, which is oten sought ater in high-precision designs and industrial applications. It ensures a perectly smooth transition between dierent parts o a…

WSEAS Transactions on Mathematics, 2024, 23, pp.948 - 961. ⟨10.37394/23206.2024.23.98⟩. ⟨hal-04917172⟩

• Pré-publication, Document de travail

SPECTRUM ANALYSIS OF THE UNDERLYING OPERATOR FOR A 2D PIEZOELECTRIC BEAM WITH MAGNETIC EFFECT ON AN ANNULAR DOMAIN, SECOND VERSION

Virginie Régnier, Mohammad Akil

The aim is to determine the eigenvalues of locally coupled equations modelling a 2D piezoelectric beam with magnetic effect with only one local viscous damping on an annular domain without geometric conditions. The eigenvalues are proved to lie in a vertical band defined explicitly in terms of the…

2024. ⟨hal-04842101⟩

• Thèse

Poudre apatitique biomimétique en phagothérapie pour lutter contre les biofilms installés lors d’infections ostéoarticulaires, Phage therapy with biomimetic apathetic powder to fight against bone and joints biofilms

Maxime Decodts

Grâce à leurs propriétés biocompatibles, ostéoconductrices et résorbables, les céramiques de phosphate de calcium sont fréquemment utilisées en tant que biomatériaux pour des implants orthopédiques ou encore pour de la régénération osseuse. Cependant, après utilisation de ces biomatériaux, il est…, Thanks to their biocompatible, osteoconductive and resorbable properties, phosphate calcium ceramics are commonly used as biomaterials for orthopaedic implants or for bone regeneration. However, after using these biomaterials, micro-organism may invade them, representing a major source of bone and…

Rhumatologie et système ostéo-articulaire. Université Polytechnique Hauts-de-France, 2024. Français. ⟨NNT : 2024UPHF0049⟩. ⟨tel-05006173⟩

• Thèse

The nonlinear Schrödinger equation on metric graphs, L’équation de Schrödinger non-linéaire sur les graphes métriques

Damien Galant

In this thesis, we investigate the nonlinear Schrödinger equation−∆u + λu = |u|ᵖ⁻²u (NLS)where ∆ := ∑ ∂ᵢᵢ is the Laplacian, p, λ ∈ ℝ and p > 2. The equation isconsidered on open domains of ℝᴺ or, in most chapters, on metric graphs.To begin with, we set the stage in which the following chapters…, Dans cette thèse, nous étudions l'équation de Schrödinger non-linéaire−∆u + λu = |u|ᵖ⁻²u (NLS)où ∆ := ∑ ∂ᵢᵢ est le laplacien, p, λ ∈ ℝ et p > 2.L'équation est considérée sur des ouverts de ℝᴺ ou, dans l'essentiel des chapitres,sur des graphes métriques.Tout d'abord, nous…

General Topology [math.GN]. Université Polytechnique Hauts-de-France; Université de Mons (Belgique), 2024. English. ⟨NNT : 2024UPHF0039⟩. ⟨tel-05104986⟩

• Article dans une revue

Geography of bilinearized Legendrian contact homology

Frédéric Bourgeois, Damien Galant

We study the geography of bilinearized Legendrian contact homology for closed, connected Legendrian submanifolds with vanishing Maslov class in 1-jet spaces. We show that this invariant detects whether the two augmentations used to define it are DGA homotopic or not. We describe a collection of…

Algebraic and Geometric Topology, 2024, 24 (7), pp.3571-3604. ⟨10.2140/agt.2024.24.3571⟩. ⟨hal-03842142⟩

• Pré-publication, Document de travail

An action approach to nodal and least energy normalized solutions for nonlinear Schrödinger equations

Colette De Coster, Simone Dovetta, Damien Galant, Enrico Serra

We develop a new approach to the investigation of normalized solutions for nonlinear Schrödinger equations based on the analysis of the masses of ground states of the corresponding action functional. Our first result is a complete characterization of the masses of action ground states, obtained via…

2024. ⟨hal-04788478⟩