Comptes Rendus

Issue no. 1 Table of Contents






Complex analysis
On the regularization of J-plurisubharmonic functions
p. 17-19

Complex analysis
Extremal cases for the log canonical threshold
p. 21-24

Ordinary differential equations/Probability theory
Backward doubly stochastic differential equations with a superlinear growth generator
p. 25-30

Partial differential equations/Numerical analysis
Hybrid high-order methods for variable-diffusion problems on general meshes
p. 31-34

Partial differential equations
Infinitely many solutions for resonance elliptic systems
p. 35-40


p. 47-50

Functional analysis
Rudin's submodules of H2(D2)
p. 51-55

Functional analysis/Algebraic geometry
Functional calculus on Nœtherian schemes
p. 57-61

Contrôle optimal
Critères du type de Kálmán pour la contrôlabilité approchée et la synchronisation approchée d'un système couplé d'équations des ondes
[Criteria of Kálmán's type for the approximate controllability and the approximate synchronization of a coupled system of wave equations]
p. 63-68

p. 69-73

Algebraic geometry
De la pureté locale à la décomposition
[From local purity to decomposition]
p. 75-80



Issue no. 2 Table of Contents




p. 95-100

Mathematical analysis
Non-universality of the Nazarov–Sodin constant
p. 101-104

Théorie du potentiel/Analyse harmonique
Propriétés de moyenne pour les fonctions harmoniques et polyharmoniques au sens de Dunkl
[Mean value properties for Dunkl-harmonic and Dunkl-polyharmonic functions]
p. 105-109



Complex analysis/Analytic geometry
Additivity of the approximation functional of currents induced by Bergman kernels
p. 117-119

Complex analysis/Differential geometry
A note on the Bergman Kernel
p. 121-125


Partial differential equations/Mathematical problems in mechanics
Existence result for a one-dimensional eikonal equation
p. 133-137

Partial differential equations/Mathematical physics
Stability of electromagnetic cavities perturbed by small perfectly conducting inclusions
p. 139-142

Partial differential equations
The method of differential contractions
p. 143-147

Functional analysis/Algebraic geometry
Noncommutative affine spaces and Lie-complete rings
p. 149-153



Differential geometry
Rigidity in a conformal class of contact form on CR manifold
p. 167-172

Differential geometry
A gap theorem for minimal submanifolds in Euclidean space
p. 173-177

Analyse numérique
Carreaux de Bézier–Serendip
[Bézier–Serendipity patches]
p. 179-184

Issue no. 3 Table of Contents




Number theory/Algebraic geometry
On Deligne's periods for tensor product motives
p. 191-195


Analyse mathématique/Équations aux dérivées partielles
Profils locaux et problèmes elliptiques à plusieurs échelles avec défauts
[Local profiles and elliptic problems at different scales with defects]
p. 203-208

Mathematical analysis/Functional analysis
Functions of perturbed noncommuting self-adjoint operators
p. 209-214

Complex analysis
Complementability of exponential systems
p. 215-218

Ordinary differential equations/Numerical analysis
Numerical analysis of an isotropic phase-field model with magnetic-field effect
p. 219-224

Partial differential equations
Explicit solutions in evolutionary genetics and applications
p. 225-228


Partial differential equations
Structure theorems for 2D linear and nonlinear Schrödinger equations
p. 235-240

Équations aux dérivées partielles/Problèmes mathématiques de la mécanique
Sur l'existence locale pour une équation de scalaires actifs
p. 241-245

Partial differential equations/Optimal control
A localized nonstandard stabilizer for the Timoshenko beam
p. 247-253

p. 255-260

Algebraic geometry
Computing zeta functions on log smooth models
p. 261-264

p. 265-271

Statistique
Choix du paramètre de lissage dans l'estimation à noyau d'une matrice de transition d'un processus semi-markovien
[Choice of the smoothing parameter in the kernel estimation of the transition matrix of a semi-Markovian process]
p. 273-277

p. 279-282

Issue no. 4 Table of Contents



Number theory/Dynamical systems
On periods modulo p in arithmetic dynamics
p. 283-285

Number theory
On the square-root partition function
p. 287-290


Homological algebra/Algebraic geometry
Upper bounds for dimensions of singularity categories
p. 297-301

Ordinary differential equations/Dynamical systems
A delay differential-difference system of hematopoietic stem cell dynamics
p. 303-307

Partial differential equations/Numerical analysis
On steady-state preserving spectral methods for homogeneous Boltzmann equations
p. 309-314

p. 315-320


Partial differential equations/Functional analysis
Lp-Taylor approximations characterize the Sobolev space W1,p
p. 327-332

Geometry/Algebraic geometry
A characterization of d-uple Veronese varieties
p. 333-338


Analytic geometry
Logarithmic residues along plane curves
p. 345-349

Differential geometry
Heat equation in a model matrix geometry
p. 351-355

Differential geometry
The Atiyah class of a dg-vector bundle
p. 357-362

p. 363-367

Mathematical problems in mechanics
New identity and Korn's inequalities on a surface
p. 369-374

Calculus of variations
Duality for non-convex variational problems
p. 375-379

Issue no. 5 Table of Contents



Number theory/Algebra
The norm map of Witt vectors
p. 381-386

p. 387-390

Algebra/Mathematical analysis
Confluent Vandermonde matrices and divided differences over quaternions
p. 391-395

Algèbre homologique/Topologie
Homologies généralisées à coefficients
[Generalized homology theories with coefficients]
p. 397-401


p. 409-413

p. 415-419

Mathematical analysis/Complex analysis
Extended τ-hypergeometric functions and associated properties
p. 421-426

Mathematical analysis/Complex analysis
On some class of convex functions
p. 427-431


Ordinary differential equations/Algebraic geometry
Tensor product and irregularity for holonomic D-modules
p. 439-441

Functional analysis
KK-theory for some graph C-algebras
p. 443-444


Algebraic geometry
On Euler–Poincaré characteristics
p. 449-453

p. 455-457

Topologie
Produit de Chas–Sullivan et actions d'un groupe de Lie connexe
[Loop product and connected Lie group actions]
p. 459-463

p. 465-469

Issue no. 6 Table of Contents



p. 471-475

Homological algebra/Topology
Two functions on Sp(g,R)
p. 477-481

Mathematical analysis
Superposition with subunitary powers in Sobolev spaces
p. 483-487

Mathematical analysis/Partial differential equations
Uniqueness in a class of Hamilton–Jacobi equations with constraints
p. 489-494

Complex analysis/Functional analysis
Composition operators on Hilbert spaces of entire functions
p. 495-499

Complex analysis/Functional analysis
On holomorphic domination, II
p. 501-503

p. 505-510

Ordinary differential equations/Calculus of variations
Existence of bound and ground states for a system of coupled nonlinear Schrödinger–KdV equations
p. 511-516

Partial differential equations/Harmonic analysis
Fractional Laplacians, extension problems and Lie groups
p. 517-522

Partial differential equations/Numerical analysis
Wave splitting for time-dependent scattered field separation
p. 523-527

Partial differential equations/Functional analysis
Nonnegative measures belonging to H1(R2)
p. 529-534

Partial differential equations
Courant-sharp eigenvalues of a two-dimensional torus
p. 535-539

p. 541-544

Dynamical systems
The C0 general density theorem for geodesic flows
p. 545-549


p. 557-561

Problèmes mathématiques de la mécanique
Inégalités de Korn non linéaires dans Rn, avec ou sans conditions aux limites
[Nonlinear Korn inequalities in Rn, with or without boundary conditions]
p. 563-568

Issue no. 7 Table of Contents



Number theory/Dynamical systems
A polynomial version of Sarnak's conjecture
p. 569-572

Théorie des nombres/Géométrie algébrique
Dualité sur un corps local de caractéristique positive à corps résiduel algébriquement clos
[Duality over a local field of positive characteristic with algebraically closed residue field]
p. 573-577

Lie algebras/Functional analysis
A note on the Kirillov model for representations of GLn(C)
p. 579-582

Mathematical analysis/Functional analysis
Almost commuting functions of almost commuting self-adjoint operators
p. 583-588

Mathematical analysis/Partial differential equations
An analytic proof of the planar quantitative isoperimetric inequality
p. 589-593

Mathematical analysis/Dynamical systems
Ruelle operators with two complex parameters and applications
p. 595-599

Mathematical analysis/Partial differential equations
Quasi-periodic solutions for nonlinear wave equations
p. 601-604

p. 605-610

Complex analysis/Analytic geometry
Boundary asymptotics of the relative Bergman kernel metric for elliptic curves
p. 611-615



Geometry
The reverse Hlawka inequality in a Minkowski space
p. 629-633



p. 647-652


p. 659-664

Issue no. 8 Table of Contents



Combinatorics/Geometry
The Heesch number for multiple prototiles is unbounded
p. 665-669

Combinatoire
Tournois indécomposables et leurs sous-tournois indécomposables à six sommets
[Indecomposable tournaments and their indecomposable subtournaments with six vertices]
p. 671-675

p. 677-682

Number theory
The truth about torsion in the CM case
p. 683-688

Algebra/Group theory
Quasi-hereditary property of double Burnside algebras
p. 689-693

p. 695-699

Complex analysis/Dynamical systems
Brody curves in complicated sets
p. 701-704

Analyse complexe/Géométrie analytique
Approximation polynômiale des jets de Whitney ¯-plats
[Polynomial approximation of ¯-flat Whitney jets]
p. 705-709


Partial differential equations/Calculus of variations
Global continuity of solutions to quasilinear equations with Morrey data
p. 717-721


Functional analysis
Function spaces on quantum tori
p. 729-734


Differential geometry
Stability of holomorphically parallelizable manifolds
p. 741-745


p. 749-753


Numerical analysis
Which spline spaces for design?
p. 761-765

Issue no. 9 Table of Contents



Combinatoire/Théorie des nombres
Les nombres de Stirling associés avec succession d'ordre 2, nombres de Fibonacci–Stirling et unimodalité
[The 2-successive associated Stirling numbers, Fibonacci–Stirling numbers and unimodality]
p. 767-771

p. 773-778

Homological algebra/Group theory
A refinement of a conjecture of Quillen
p. 779-784

Group theory/Algebraic geometry
Automorphisms of T
p. 785-787

Ordinary differential equations
Uniform simplification in a full neighborhood of a turning point
p. 789-793

Ordinary differential equations/Dynamical systems
Formal normal form of Ak slow–fast systems
p. 795-800


p. 807-811

Partial differential equations/Differential geometry
Keller–Lieb–Thirring inequalities for Schrödinger operators on cylinders
p. 813-818

Partial differential equations/Functional analysis
On the regularity of solutions to Poisson's equation
p. 819-823




Partial differential equations/Numerical analysis
Asynchronous numerical scheme for modeling hyperbolic systems
p. 843-847


Algebraic geometry
On a question of Mehta and Pauly
p. 855-857

Differential geometry
On cosymplectic groupoids
p. 859-863

Issue no. 10 Table of Contents



p. 865-869

Théorie des nombres
Un cadre explicite pour les polylogarithmes multiples p-adiques et les multizêtas p-adiques
[An explicit framework for p-adic multiple polylogarithms and p-adic multiple zeta values]
p. 871-876

Théorie des nombres
Une notion de multizêtas finis associée au Frobenius du groupe fondamental de P1\{0,1,}
[A notion of finite multiple zeta values associated with the Frobenius of the fundamental group of P1\{0,1,}]
p. 877-882

Number theory/Harmonic analysis
On convergence almost everywhere of series of dilated functions
p. 883-886

Algebra/Lie algebras
Generalized Joseph's decompositions
p. 887-892

Mathematical analysis/Partial differential equations
Electromagnetic scattering by periodic structures with sign-changing coefficients
p. 893-898

Mathematical analysis/Functional analysis
On the defect of compactness in Banach spaces
p. 899-903

Équations aux dérivées partielles/Problèmes mathématiques de la mécanique
Une inégalité de Korn non linéaire dans W2,p, p>n
[A nonlinear Korn inequality in W2,p, p>n]
p. 905-911



Partial differential equations/Optimal control
Internal null-controllability of the N-dimensional heat equation in cylindrical domains
p. 925-930


Functional analysis/Dynamical systems
Disjoint mixing linear fractional composition operators in the unit ball
p. 937-942





Issue no. 11 Table of Contents



p. 965-967

Complex analysis
On weakly complete surfaces
p. 969-972


Complex analysis/Differential geometry
Extension formulas and deformation invariance of Hodge numbers
p. 979-984

Partial differential equations/Mathematical problems in mechanics
The gradient flow structure for incompressible immiscible two-phase flows in porous media
p. 985-989

Functional analysis/Geometry
Uniform nonextendability from nets
p. 991-994


p. 1001-1005


Géométrie différentielle
Forme semi-locale des feuilletages legendriens
[Semi-local form of Legendrian foliations]
p. 1011-1015

p. 1017-1021

Differential geometry
On compact Ricci solitons in Finsler geometry
p. 1023-1027

Topology/Computer science
Digital homotopy fixed point theory
p. 1029-1033



Dynamical systems
On the hyperbolicity of C1-generic homoclinic classes
p. 1047-1051

p. 1053-1059

Issue no. 12 Table of Contents




Number theory/Ordinary differential equations
On the mock-theta behavior of Appell–Lerch series
p. 1067-1073

Mathematical analysis/Complex analysis
Faber polynomial coefficient bounds for a subclass of bi-univalent functions
p. 1075-1080



Partial differential equations/Mathematical physics
Boundary regularity of weakly anchored harmonic maps
p. 1093-1097

p. 1099-1104

Partial differential equations/Numerical analysis
Simultaneous empirical interpolation and reduced basis method for non-linear problems
p. 1105-1109

p. 1111-1115

p. 1117-1122

Algebraic geometry
Twisted cubic curves in the Segre variety
p. 1123-1127


Topologie
Une généralisation de l'homologie de Khovanov
[A generalization of Khovanov's homology]
p. 1135-1140



Probability theory
Conditionally Gaussian stochastic integrals
p. 1153-1158

Probability theory
A central limit theorem for fields of martingale differences
p. 1159-1163