396 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Centre National de la Recherche ScientifiqueFR154 papers
- Paris-Est SupFR126 papers
- École nationale des ponts et chausséesFR92 papers
- CERMICSFR71 papers
- Institut national de recherche en sciences et technologies du numériqueFR64 papers
- Laboratoire d'Informatique Gaspard-MongeFR46 papers
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR44 papers
- Université Paris-Est CréteilFR40 papers
- Université Paris-Est Marne-la-ValléeFR39 papers
- Laboratoire NavierFR33 papers
- Laboratoire Modélisation et Simulation Multi-EchelleFR29 papers
- Université Paris DiderotFR15 papers
19 papers · 1 filter
Localised Wannier functions in metallic systems
Horia Cornean, David Gontier, Antoine Levitt +1
The existence and construction of exponentially localised Wannier functions for insulators is a well-studied problem. In comparison, the case of metallic systems has been much less…
Convergence rates for nonequilibrium Langevin dynamics
Alessandra Iacobucci, Stefano Olla, Gabriel Stoltz
We study the exponential convergence to the stationary state for nonequilibrium Langevin dynamics, by a perturbative approach based on hypocoercive techniques developed for equilib…
A minimal integrity basis for the elasticity tensor
Nicolas Auffray, Marc Olive, Boris Kolev
We definitively solve the old problem of finding a minimal integrity basis of polynomial invariants of the fourth-order elasticity tensor C. Decomposing C into its SO(3)-irreducibl…
Reflection and transmission of elastic waves at interfaces embedded in non-local band-gap metamaterials: a comprehensive study via the relaxed micromorphic model
Angela Madeo, Patrizio Neff, Ionel-Dumitrel Ghiba +1
In this paper we derive, by means of a suitable least action principle, the duality jump conditions to be imposed at surfaces of discontinuity of the material properties in non-dis…
A mathematical analysis of the GW0 method for computing electronic excited energies of molecules
Eric Cancès, David Gontier, Gabriel Stoltz
This paper analyses the GW method for finite electronic systems. In a first step, we provide a mathematical framework for the usual one-body operators that appear naturally in many…
Explicit vector spherical harmonics on the 3-sphere
J. Ben Achour, E. Huguet, J. Queva +1
We build a family of explicit one-forms on which are shown to form a complete set of eigenmodes for the Laplace-de Rahm operator.
Kinetic modeling of multiple scattering of elastic waves in heterogeneous anisotropic media
Ibrahim Baydoun, Éric Savin, Régis Cottereau +2
In this paper we develop a multiple scattering model for elastic waves in random anisotropic media. It relies on a kinetic approach of wave propagation phenomena pertaining to the…
A kinematic wave theory of capacity drop
Wen-Long Jin, Qi-Jian Gan, Jean-Patrick Lebacque
Capacity drop at active bottlenecks is one of the most puzzling traffic phenomena, but a thorough understanding is practically important for designing variable speed limit and ramp…
A unifying perspective: the relaxed linear micromorphic continuum
Patrizio Neff, Ionel-Dumitrel Ghiba, Angela Madeo +2
We formulate a relaxed linear elastic micromorphic continuum model with symmetric Cauchy force-stresses and curvature contribution depending only on the micro-dislocation tensor. O…
-representability in non-collinear spin-polarized density functional theory
David Gontier
The -representability problem for non-collinear spin-polarized densities was left open in the pioneering work of von Barth and Hedin setting up the Kohn-Sham density functional…
Some properties of generalized Fisher information in the context of nonextensive thermostatistics
Jean-François Bercher
We present two extended forms of Fisher information that fit well in the context of nonextensive thermostatistics. We show that there exists an interplay between these generalized…
Matrix representations for 3D strain-gradient elasticity
N. Auffray, H. Le Quang, Q. -C. He
The theory of first strain gradient elasticity (SGE) is widely used to model size and non-local effects observed in materials and structures. For a material whose microstructure is…
Invariant-based approach to symmetry class detection
Nicolas Auffray, Boris Kolev, Michel Petitot
In this paper, the problem of the identification of the symmetry class of a given tensor is asked. Contrary to classical approaches which are based on the spectral properties of th…
Cyclicity in rank-one perturbation problems
Evgeny Abakumov, Constanze Liaw, Alexei Poltoratski
The property of cyclicity of a linear operator, or equivalently the property of simplicity of its spectrum, is an important spectral characteristic that appears in many problems of…
Source coding with escort distributions and Renyi entropy bounds
J. -F. Bercher
We discuss the interest of escort distributions and Rényi entropy in the context of source coding. We first recall a source coding theorem by Campbell relating a generalized measur…
Escort entropies and divergences and related canonical distribution
J. -F. Bercher
We discuss two families of two-parameter entropies and divergences, derived from the standard Rényi and Tsallis entropies and divergences. These divergences and entropies are found…
On a conjecture about Dirac's delta representation using q-exponentials
A. Chevreuil, A. Plastino, C. Vignat
A new representation of Dirac's delta-distribution, based on the so-called q-exponentials, has been recently conjectured. We prove here that this conjecture is indeed valid.
Gell-Mann and Low formula for degenerate unperturbed states
Christian Brouder, Gianluca Panati, Gabriel Stoltz
The Gell-Mann and Low switching allows to transform eigenstates of an unperturbed Hamiltonian into eigenstates of the modified Hamiltonian . This switching can be pe…
The Dielectric Permittivity of Crystals in the reduced Hartree-Fock approximation
Eric Cancès, Mathieu Lewin
In a recent article (Cancès, Deleurence and Lewin, Commun. Math. Phys., 281 (2008), pp. 129-177), we have rigorously derived, by means of bulk limit arguments, a new variational mo…