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

MAGNETIC BERNSTEIN INEQUALITIES AND SPECTRAL INEQUALITY ON THICK SETS FOR THE LANDAU OPERATOR

Paul Pfeiffer, Matthias Täufer

<div><p>We prove a spectral inequality for the Landau operator. This means that for all f in the spectral subspace corresponding to energies up to E, the L 2 -integral over suitable S ⊂ R 2 can be lower bounded by an explicit constant times the L 2 -norm of f itself. We identify the…

SIAM Journal on Control and Optimization, 2025, 63 (4), pp.2659-2685. ⟨10.1137/24M1681744⟩. ⟨hal-05033935⟩

• 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

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⟩

• 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⟩

• 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

Poly(Amino Acid) LbL Multilayers With Embedded Silver and Copper Oxide Nanoparticles as Biocompatible Antibacterial Coatings

Ana‐marija Milisav, Lamborghini Sotelo, Cristina Cantallops-Vilà, Tommaso Fontanot, Ina Erceg, Krunoslav Bojanić, Tomislav Vuletić, Željka Fiket, Maja Ivanić, Silke Christiansen, Edwige Meurice, Maja Dutour Sikirić

Abstract The growing concern over implant‐associated infections motivates the development of novel antibacterial coatings for medical devices as an effective strategy in reducing the occurrence of IAI. Polyelectrolyte multilayers (PEMs) incorporating metal/metal oxide nanoparticles (NPs) as…

Advanced Materials Interfaces, 2024, 12 (5), ⟨10.1002/admi.202400631⟩. ⟨hal-05582396⟩

• Ouvrages

Sol-Gel Synthesis of a New Composition of Bioactive Glass

Halima El Bouami, Assia Mabrouk, Cyrille Mercier, Claudine Follet, Ahmed Bachar

Bioactive glasses hold immense promise for tissue engineering and bone regeneration due to their ability to bond with living tissues and stimulate bone growth. This chapter explores the sol-gel method, a versatile technique offering advantages like lower processing temperatures and superior…

IGI Global, pp.225-246, 2024, Advances in Chemical and Materials Engineering, ⟨10.4018/979-8-3693-7505-1.ch008⟩. ⟨hal-05538277⟩