238 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Nantes UniversitéFR266 papers
- Centre National de la Recherche ScientifiqueFR187 papers
- Université de NantesFR152 papers
- École Centrale de NantesFR48 papers
- Laboratoire de Mathématiques d'OrsayFR36 papers
- Institut de recherche mathématique de RennesFR25 papers
- Institut FourierFR25 papers
- Université Paris-SudFR25 papers
- Université Paris-SaclayFR17 papers
- Institut national de recherche en sciences et technologies du numériqueFR12 papers
- Analyse, Géométrie et ModélisationFR11 papers
- Institut de Mathématiques de BordeauxFR11 papers
37 papers · 1 filter
Fully discrete hyperbolic initial boundary value problems with nonzero initial data
Jean-François Coulombel
The stability theory for hyperbolic initial boundary value problems relies most of the time on the Laplace transform with respect to the time variable. For technical reasons, this…
Inverse scattering at fixed energy for massive charged Dirac fields in de Sitter-Reissner-Nordström black holes
Damien Gobin
In this paper, we consider massive charged Dirac fields propagating in the exterior region of de Sitter-Reissner-Nordström black holes.We show that the parameters of such black hol…
Structure theory of Rack-Bialgebras
Charles Alexandre, Martin Bordemann, Salim Riviere +1
In this paper we focus on a certain self-distributive multiplication on coalgebras, which leads to so-called rack bialgebra. Inspired by semi-group theory (adapting the Suschkewits…
On p-almost direct products and residual properties of pure braid groups of nonorientable surfaces
Paolo Bellingeri, Sylvain Gervais
We prove that the n th pure braid group of a nonorientable surface (closed or with boundary, but different from RP2) is residually 2-finite. Consequently, this group is residually…
Nodal domains in the square---the Neumann case
Bernard Helffer, Mikael Persson Sundqvist
Å Pleijel has proved that in the case of the Laplacian on the square with Neumann condition, the equality in the Courant nodal theorem (Courant sharp situation) can only be true fo…
On the spectrum of non-selfadjoint Schrödinger operators with compact resolvent
Yaniv Almog, Bernard Helffer
We determine the Schatten class for the compact resolvent of Dirichlet realizations, in unbounded domains, of a class of non-selfadjoint differential operators. This class consists…
Small eigenvalues of the low temperature linear relaxation Boltzmann equation with a confining potential
Virgile Robbe
We study the linear relaxation Boltzmann equation, a simple semiclassical kinetic model. We provide a resolvent estimate for an associated non-selfadjoint operator as well as an es…
On the number of nodal domains of the 2D isotropic quantum harmonic oscillator -- an extension of results of A. Stern --
Pierre Bérard, Bernard Helffer
In the case of the sphere and the square, Antonie Stern (1925) claimed in her PhD thesis the existence of an infinite sequence of eigenvalues whose corresponding eigenspaces contai…
Singular-value decomposition of solution operators to model evolution equations
Alexandru Aleman, Joe Viola
We consider evolution equations generated by quadratic operators admitting a decomposition in creation-annihilation operators without usual ellipticity-type hypotheses; this class…
Cohomologie des foncteurs polynomiaux sur les groupes libres
Aurélien Djament, Teimuraz Pirashvili, Christine Vespa
We show that extension groups between two polynomial functors on free groups are the same in the category of all functors and in a subcategory of polynomial functors of bounded deg…
Hölder regularity of solutions for Schrödinger operators on stratified spaces
Kazuo Akutagawa, Gilles Carron, Rafe Mazzeo
We study the regularity properties for solutions of a class of Schrödinger equations on a stratified space endowed with an iterated edge metric. The focus is on…
A sphere theorem for three dimensional manifolds with integral pinched curvature
Vincent Bour, Gilles Carron
In a previous paper, we proved a number of optimal rigidity results for Riemannian manifolds of dimension greater than four whose curvature satisfy an integral pinching. In this ar…
Asymptotic behavior of the nonlinear Schrödinger equation with harmonic trapping
Zaher Hani, Laurent Thomann
We consider the cubic nonlinear Schrödinger equation with harmonic trapping on (). In the case when all but one directions are trapped (a.k.a "cigar-s…
Holomorphic current groups -- Structure and Orbits
Martin Laubinger, Friedrich Wagemann
Let K be a finite-dimensional, 1-connected complex Lie group, and let Σ_k=Σ- {p_1,\ldots,p_k\} be a compact connected Riemann surface Σ, from which we have extracted k > 0 distinct…
Chambers's formula for the graphene and the Hou model with kagome periodicity and applications
Bernard Helffer, Philippe Kerdelhué, Jimena Royo-Letelier
The aim of this article is to prove that for the graphene model like for a model considered by the physicist Hou on a kagome lattice, there exists a formula which is similar to the…
Dispersive estimates with loss of derivatives via the heat semigroup and the wave operator
Frederic Bernicot, Valentin Samoyeau
This paper aims to give a general (possibly compact or noncompact) analog of Strichartz inequalities with loss of derivatives, obtained by Burq, Gérard, and Tzvetkov [19] and Staff…
Groupes d'extensions et foncteurs polynomiaux
Aurélien Djament
Généralisant un article de Pirashvili, nous caractérisons les petites catégories additives A telles que l'inclusion dans la catégorie des foncteurs de A vers les groupes abéliens d…
On a characteristic of the first eigenvalue of the Dirac operator on compact spin symmetric spaces with a Kähler or Quaternion-Kähler structure
Jean-Louis Milhorat
It is shown that on a compact spin symmetric space with a Kähler or Quaternion-Kähler structure, the first eigenvalue of the Dirac operator is linked to a ''{lowest}'' action of th…
Open book decompositions versus prime factorizations of closed, oriented 3-manifolds
Paolo Ghiggini, Paolo Lisca
Let be a closed, oriented, connected 3--manifold and an open book decomposition on with page and monodromy . It is easy to see that the first Betti number of…
The Ginzburg-Landau functional with vanishing magnetic field
Bernard Helffer, Ayman Kachmar
We study the infimum of the Ginzburg-Landau functional in the case of a vanishing external magnetic field in a two dimensional simply connected domain. We obtain an energy asymptot…
A. Stern's analysis of the nodal sets of some families of spherical harmonics revisited
Pierre Bérard, Bernard Helffer
In this paper, we revisit the analyses of Antonie Stern (1925) and Hans Lewy (1977) devoted to the construction of spherical harmonics with two or three nodal domains. Our method y…
Gaussian heat kernel bounds through elliptic Moser iteration
Frédéric Bernicot, Thierry Coulhon, Dorothee Frey
On a doubling metric measure space endowed with a "carré du champ", we consider estimates of the gradient of the heat semigroup and scale-invariant Poincaré ine…
On the homology of the double cobar construction of a double suspension
Alexandre Quesney
The double cobar construction of a double suspension comes with a Connes-Moscovici structure, that is a homotopy G-algebra (or Gerstenhaber-Voronov algebra) structure together with…
Quantifying repulsiveness of determinantal point processes
Christophe Ange Napoléon Biscio, Frédéric Lavancier
Determinantal point processes (DPPs) have recently proved to be a useful class of models in several areas of statistics, including spatial statistics, statistical learning and tele…