Comptes Rendus

Issue no. 1 Table of Contents









Mathematical analysis/Partial differential equations
Non-convex, non-local functionals converging to the total variation
p. 24-27



Équations différentielles/Géométrie différentielle
Surfaces de Bonnet et équations de Painlevé
[Bonnet surfaces and Painlevé equations]
p. 40-44



p. 80-83




Probabilités/Statistique
Estimateur du quasi-maximum de vraisemblance géométrique d'une classe générale de modèles de séries chronologiques à valeurs entières
[Geometric quasi-maximum likelihood estimation for a general class of integer-valued time series models]
p. 99-104

Analyse numérique
Métrique et qualité d'un simplexe
[Element metric]
p. 105-112

Mathematical problems in mechanics
Symmetric solutions to the Leray problem
p. 113-117

Issue no. 2 Table of Contents







Mathematical analysis/Partial differential equations/Calculus of variations
Symmetry for extremal functions in subcritical Caffarelli–Kohn–Nirenberg inequalities
p. 133-154


p. 161-165

Équations aux dérivées partielles/Analyse numérique
Simulation de la propagation de fracture dans un solide élastique
[Simulation of the propagation of cracks in a brittle material]
p. 166-169





p. 193-199



Algebraic geometry
On the kernel of the regulator map
p. 211-215



p. 226-231

Problèmes mathématiques de la mécanique/Équations aux dérivées partielles
Une approche intrinsèque d'un modèle non linéaire de la théorie des coques
[An intrinsic approach to a nonlinear model in shell theory]
p. 232-242

Issue no. 3 Table of Contents




p. 243-247



p. 263-267

Théorie des nombres/Géométrie algébrique
Dualité pour les groupes de type multiplicatif sur certains corps de fonctions
[Duality theorem for groups of multiplicative type over some function fields]
p. 268-271

p. 272-276

Ordinary differential equations
A simple proof of the Lyapunov finite-time stability theorem
p. 277-281


p. 290-295

p. 296-298

Partial differential equations
Instability of an integrable nonlocal NLS
p. 299-303

Équations aux dérivées partielles/Analyse numérique
Analyse a posteriori d'erreur par reconstruction pour un modèle d'écoulement dans un milieu poreux fracturé
[A posteriori error analysis via post-processing for a model of flow in a fractured porous media]
p. 304-309

Partial differential equations
Decay of solutions to a new Hall–MHD system in R3
p. 310-317





Mathematical problems in mechanics/Partial differential equations
Multipreconditioning for nonsymmetric problems: The case of orthomin and biCG
p. 354-358


Issue no. 4 Table of Contents




Combinatoire/Géométrie algébrique
Singularités canoniques et actions horosphériques
p. 365-369

p. 370-377

p. 378-399

Mathematical analysis/Harmonic analysis
Multipliers for Besov spaces on graded Lie groups
p. 400-405

p. 406-410

Complex analysis/Partial differential equations
The complex Monge–Ampère equation on weakly pseudoconvex domains
p. 411-414



Ordinary differential equations/Partial differential equations
Blow-up solutions for a general class of the second-order differential equations on the half line
p. 426-431



Partial differential equations/Functional analysis
Logarithmic Sobolev inequality revisited
p. 447-451


Géométrie algébrique
Faîte du cône tangent à une singularité : un théorème oublié
[Ridge of the tangent cone of a singularity: A forgotten theorem]
p. 455-459

p. 460-463





Issue no. 5 Table of Contents






p. 499-514

Partial differential equations/Calculus of variations
Interaction energy between vortices of vector fields on Riemannian surfaces
p. 515-521



p. 533-537

p. 538-542

Analyse harmonique
Une caractérisation de l'algèbre de Fourier pour certains groupes localement compacts
[A characterization of the Fourier algebra for some locally compact groups]
p. 543-548

Analyse fonctionnelle
Un contre-exemple pour un espace d'interpolation qui n'est pas faiblement LUR
[A counterexample that provides a non-weakly LUR interpolation space]
p. 549-552


Functional analysis/Dynamical systems
Mean ergodic theorem in symmetric spaces
p. 559-562



p. 577-581

p. 582-589



Issue no. 6 Table of Contents




Number theory/Algebra
Trace formula for Witt vector rings
p. 601-606


Homological algebra/Functional analysis
The cyclic homology of crossed-product algebras, I
p. 618-622

Homological algebra/Functional analysis
The cyclic homology of crossed-product algebras, II
p. 623-627

Homological algebra/Algebraic geometry
Kimura-finiteness of quadric fibrations over smooth curves
p. 628-632



Partial differential equations/Numerical analysis
Variational projector augmented-wave method
p. 665-670

Partial differential equations/Numerical analysis
Eigenvalue problems with sign-changing coefficients
p. 671-675


p. 680-686




p. 718-722


Issue no. 7 Table of Contents






Number theory/Dynamical systems
Dynamical covering problems on the triadic Cantor set
p. 738-743

Lie algebras/Partial differential equations
Compatible Hamiltonian operators for the Krichever–Novikov equation
p. 744-747



Complex analysis/Differential geometry
Remarks on the canonical metrics on the Cartan–Hartogs domains
p. 760-768

Complex analysis/Analytic geometry
On the Lie group structure of automorphism groups
p. 769-773


Partial differential equations/Theory of signals
Rigidity of optimal bases for signal spaces
p. 780-785


p. 795-805


Analyse fonctionnelle
Vers un théorème de la limite centrale dans l'espace de Wasserstein ?
[Towards a central limit theorem in the Wasserstein space?]
p. 812-818


Statistique
Estimation locale linéaire de la régression non paramétrique fonctionnelle par la méthode des k plus proches voisins
[Local linear estimate of the regression operator by the kNN method]
p. 824-829

Issue no. 8 Table of Contents






Théorie des nombres
Sur la méthode de Runge et les points entiers de certaines variétés modulaires de Siegel
[On Runge's method and the integral points of some modular varieties]
p. 847-852

p. 853-858

p. 859-865

Mathematical analysis/Dynamical systems
Fully oscillating sequences and weighted multiple ergodic limit
p. 866-870

p. 871-875


Ordinary differential equations/Dynamical systems
The flowbox theorem for divergence-free Lipschitz vector fields
p. 881-886

Équations aux dérivées partielles/Physique mathématique
Propagation des singularités et résonances
[Propagation of singularities and resonances]
p. 887-891


p. 903-905

p. 906-909

Differential geometry/Mathematical physics
A proof of energy gap for Yang–Mills connections
p. 910-913


Probability theory/Harmonic analysis
A theorem of uniqueness for characteristic functions
p. 920-924

Issue no. 9 Table of Contents




p. 925-928

p. 929-936



p. 949-955


Mathematical analysis/Functional analysis
A note on the fractional perimeter and interpolation
p. 960-965




Functional analysis/Geometry
Powers and logarithms of convex bodies
p. 981-986



Topology/Differential topology
On maps which are the identity on the boundary
p. 1022-1025


Issue no. 10 Table of Contents





p. 1041-1045

Mathematical analysis/Differential topology
A refined estimate for the topological degree
p. 1046-1049

Potential theory/Complex analysis
On a constant in the energy estimate
p. 1050-1054



Harmonic analysis/Functional analysis
Hamming cube and martingales
p. 1072-1076



Analytic geometry/Differential topology
Scattering matrix and analytic torsion
p. 1089-1093

p. 1094-1098

Statistique
Inférence fondée sur la vraisemblance pour des modèles de records
[Likelihood-based inference for record models]
p. 1099-1103

Physique mathématique/Économie mathématique
Un algorithme dérivé de l'algorithme de Metropolis
[An algorithm derived from the Metropolis algorithm]
p. 1104-1110

Issue no. 11 Table of Contents






p. 1127-1132

p. 1133-1137


Mathematical analysis/Mathematical physics
Existence and uniqueness of solutions to a model describing miscible liquids
p. 1148-1153


Partial differential equations/Numerical analysis
An LP empirical quadrature procedure for parametrized functions
p. 1161-1167


Differential geometry/Mathematical physics
Twist star products and Morita equivalence
p. 1178-1184


p. 1190-1195

p. 1196-1200

Issue no. 12 Table of Contents




Théorie des nombres
Une identité pour des polynômes d'Appell
[An identity for Appell polynomials]
p. 1201-1204



Partial differential equations
Non-null-controllability of the Grushin operator in 2D
p. 1215-1235

Partial differential equations/Functional analysis
A variational principle for problems with a hint of convexity
p. 1236-1241