output
19972026
most citedAnalysis of a Random Forests Model

678 citations

Showing 2015 · math.APShow all

10 papers · 2 filters

math.AP2015★ 4 cited

The singular limit of the Water-Waves equations in the rigid lid regime

Benoît Mésognon-Gireau

The re-scaled Water-Waves equations depend strongly on the ratio epsilon between the amplitude of the wave and the depth of the water. We investigate in this paper the convergence…

math.AP2015

A dispersive estimate for the linearized Water-Waves equations in finite depth

Benoît Mésognon-Gireau

We prove a dispersive estimate for the solutions of the linearized Water-Waves equations in dimension 1 in presence of a flat bottom. We prove a decay with respect to time t of ord…

math.AP2015★ 5 cited

Mathematical analysis of plasmonic resonances for nanoparticles: the full Maxwell equations

Habib Ammari, Matias Ruiz, Sanghyeon Yu +1

In this paper we use the full Maxwell equations for light propagation in order to analyze plasmonic resonances for nanoparticles. We mathematically define the notion of plasmonic r…

math.AP2015★ 5 cited

Absence of Critical Points of Solutions to the Helmholtz Equation in 3D

Giovanni S. Alberti

The focus of this paper is to show the absence of critical points for the solutions to the Helmholtz equation in a bounded domain , given by \[ \left\{ \beg…

math.AP2015

Spectral minimal partitions for a family of tori

Virginie Bonnaillie-Noël, Corentin Léna

We study partitions of the rectangular two-dimensional flat torus of length 1 and width b into k domains, with b a parameter in (0, 1] and k an integer. We look for partitions whic…

math.AP2015★ 1 cited

On an elliptic equation arising from photo-acoustic imaging in inhomogeneous media

Habib Ammari, Hongjie Dong, Hyeonbae Kang +1

We study an elliptic equation with measurable coefficients arising from photo-acoustic imaging in inhomogeneous media. We establish Holder continuity of weak solutions and obtain p…

math.AP2015★ 2 cited

Error estimates for finite difference schemes associated with Hamilton-Jacobi equations on a junction

Jessica Guerand, Marwa Koumaiha

This paper is concerned with monotone (time-explicit) finite difference schemes associated with first order Hamilton-Jacobi equations posed on a junction. They extend the schemes r…

math.AP2015★ 2 cited

Interactions between moderately close inclusions for the 2D Dirichlet-Laplacian

Virginie Bonnaillie-Noël, Marc Dambrine, Christophe Lacave

This paper concerns the asymptotic expansion of the solution of the Dirichlet-Laplace problem in a domain with small inclusions. This problem is well understood for the Neumann con…

math.AP2015★ 43 cited

The X-ray transform for connections in negative curvature

Colin Guillarmou, Gabriel P. Paternain, Mikko Salo +1

We consider integral geometry inverse problems for unitary connections and skew-Hermitian Higgs fields on manifolds with negative sectional curvature. The results apply to manifold…

math.AP2015★ 21 cited

Disjoint sparsity for signal separation and applications to hybrid inverse problems in medical imaging

Giovanni S. Alberti, Habib Ammari

The main focus of this work is the reconstruction of the signals and , , from the knowledge of their sums , under the assumption that and t…