Publicaciones

• Article dans une revue

Carleman-Based Reconstruction Algorithm on a wave Network

Lucie Baudouin, Maya de Buhan, Emmanuelle Crépeau, Julie Valein

In the context of a network of vibrating strings, modelled by interconnected linear partial differential equations, we are interested in the reconstruction of a zeroth order term of each one-dimensional wave equation involved, using some appropriate external boundary measurements. More precisely,...

Mathematics of Control, Signals, and Systems, 2025, 37, pp.621-660. ⟨10.1007/s00498-025-00413-z⟩. ⟨hal-04361363⟩

• Article dans une revue

Estimation of the asymptotic variance matrix of the least squares estimator of weak FARIMA models

Yacouba Boubacar Mainassara, Youssef Esstafa

In this article, we propose a consistent estimator for the asymptotic variance matrix of the least squares estimator in Fractionally AutoRegressive Integrated Moving‐Average (FARIMA) models. Our approach allows for error terms that are uncorrelated, but not necessarily independent. Modified...

Statistica Neerlandica, 2025, 79 (3), ⟨10.1111/stan.70009⟩. ⟨hal-05531048⟩

• Article dans une revue

Determination of discontinuous diffusion coefficients for the heat equation on a tree-shaped network

Emmanuelle Crépeau, Lionel Rosier, Julie Valein

In this paper, we study the heat equation on a tree-shaped network with a piecewise regular diffusion coefficient. By developing new Carleman estimates, we establish stability results for the identification of the diffusion coefficient. These stability estimates are derived using either internal...

Inverse Problems, 2025, 41 (7), pp.075001. ⟨10.1088/1361-6420/ade3f9⟩. ⟨hal-05464931⟩

• Pré-publication, Document de travail

Error Bounds for a Kernel-Based Constrained Optimal Smoothing Approximation

Laurence Grammont, François Bachoc, Andrés F. López-Lopera

This paper establishes error bounds for the convergence of a piecewise linear approximation of the constrained optimal smoothing problem posed in a reproducing kernel Hilbert space (RKHS). This problem can be reformulated as a Bayesian estimation problem involving a Gaussian process related to the...

2025. ⟨hal-04645086v2⟩

• Article dans une revue

Thermoelastic properties of polycrystalline strontium titanium silicate Sr₂TiSi₂O₈ synthesized via the reactive sintering method

Oussama Zwein, Maurice Gonon, Sandra Abdelouhab, Isabella Mastroianni, Marc Duquennoy

The aim of the work presented in this paper is to investigate the thermoelastic properties of polycrystalline Sr-fresnoite Sr2TiSi2O8 (STS). On that purpose, Sr2TiSi2O8 samples were synthesized by solid state reactive sintering from SrCO3, TiO2 and SiO2 powders. The thermal expansion behaviour of...

Journal of the European Ceramic Society, 2025, 45 (6), pp.117224. ⟨10.1016/j.jeurceramsoc.2025.117224⟩. ⟨hal-04923467⟩

• Article dans une revue

Effects of La2O3 on structure and mechanical properties of sodium borosilicate glass

Meriem Ben Zennou, Ahmed Bachar, Meriem Chrifi Alaoui, Frédéric Jenot, Rachid Amrousse, Aurélien Canizares, Yann Vaills, Stuart Hampshire, Mohamed Rguiti, Assia Mabrouk

To develop rare-earth-doped borosilicate glasses with enhanced mechanical properties, lanthanum sodium borosilicate glasses were successfully synthesized using a fusion method. The glass composition was (mol.%): 55SiO2 - 25B2O3 – (20-x)Na2O - xLa2O3 (x = 1, 2, 3, 4, and 5). The primary aim was to...

Ceramics International, 2025, ⟨10.1016/j.ceramint.2025.05.337⟩. ⟨hal-05148570⟩

• Article dans une revue

Numerical Simulation and Experimental Verification of Mechanical Displacements in Piezoelectric Transformer

Faiza Boukazouha, Guylaine Poulin-Vittrant, Mohamed Rguiti, Marc Lethiecq

Abstract Since its invention, piezoelectric transformers (PTs) have been extensively studied and its performances have been continuously improved. Nowadays, such devices are designed in sophisticated architectures with associated models describing their behavior quite accurately. However, the...

Advanced Theory and Simulations, 2025, 8 (8), pp.2401232. ⟨10.1002/adts.202401232⟩. ⟨hal-05285962⟩

• Poster de conférence

Influence de la quantité de verre résiduel et la microstructure des vitrocéramiques polaires piézoélectriques sur la propagation des ondes acoustiques de surface (SAW)

Oussama Zwein, Marc Duquennoy, Dame Fall, Maurice Gonon, Zakariae Oumekloul, Christian Courtois

GFC 18, Mar 2025, Orléans, France. ⟨hal-05063490⟩

• Pré-publication, Document de travail

Estimating weak Markov-switching AR(1) models

Yacouba Boubacar Mainassara, Armel Bra, Landy Rabehasaina

In this paper, we present the asymptotic properties of the moment estimator for autoregressive (AR for short) models subject to Markovian changes in regime under the assumption that the errors are uncorrelated but not necessarily independent. We relax the standard independence assumption on the...

2025. ⟨hal-04975822⟩

• Pré-publication, Document de travail

Spatially Controlled Evolution of Composite Materials via Stochastic Partial Differential Equations

Nacira Agram, Isabelle Turpin, Eya Zougar

This paper investigates a class of controlled stochastic partial differential equations (SPDEs) arising in the modeling of composite materials with spatially varying properties. The state equation describes the evolution of a material property, influenced by control inputs that adjust the...

2026. ⟨hal-05479840⟩