144 citations
- Sorbonne UniversitéFR34 papers
- Centre National de la Recherche ScientifiqueFR19 papers
- Institut national de recherche en sciences et technologies du numériqueFR14 papers
- Université Paris CitéFR8 papers
- Centre de Recherche en Mathématiques de la DécisionFR6 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR5 papers
- Laboratoire de Probabilités et Modèles AléatoiresFR5 papers
- Département de mathématiques et applicationsFR4 papers
- École Normale Supérieure - PSLFR4 papers
- École PolytechniqueFR3 papers
- Institut de Mathématiques de ToulouseFR3 papers
- Istituto di Matematica Applicata e Tecnologie InformaticheIT3 papers
14 papers · 1 filter
Paraxial coupling of propagating modes in three-dimensional waveguides with random boundaries
Liliana Borcea, Josselin Garnier
We analyze long range wave propagation in three-dimensional random waveguides. The waves are trapped by top and bottom boundaries, but the medium is unbounded in the two remaining…
Target Detection and Characterization from Electromagnetic Induction Data
Habib Ammari, Junqing Chen, Zhiming Chen +2
The goal of this paper is to contribute to the field of nondestructive testing by eddy currents. We provide a mathematical analysis and a numerical framework for simulating the ima…
Regularity dependence of the rate of convergence of the learning curve for Gaussian process regression
Loic Le Gratiet, Josselin Garnier
This paper deals with the speed of convergence of the learning curve in a Gaussian process regression framework. The learning curve describes the average generalization error of th…
Spectral stability estimates for the Dirichlet and Neumann Laplacian in rough domains
Antoine Lemenant, Emmanouil Milakis, Laura V. Spinolo
In this paper we establish new quantitative stability estimates with respect to domain perturbations for all the eigenvalues of both the Neumann and the Dirichlet Laplacian. Our ma…
Maximum Decay Rate for the Nonlinear Schrödinger Equation
Pascal Bégout
In this paper, we consider global solutions for the following nonlinear Schrödinger equation in with and …
Invasion fronts with variable motility: phenotype selection, spatial sorting and wave acceleration
Emeric Bouin, Vincent Calvez, Nicolas Meunier +4
Invasion fronts in ecology are well studied but very few mathematical results concern the case with variable motility (possibly due to mutations). Based on an apparently simple rea…