Comptes Rendus

Issue no. 1 Table of Contents






Complex analysis
On the regularization of J-plurisubharmonic functions

Complex analysis
Extremal cases for the log canonical threshold

Ordinary differential equations/Probability theory
Backward doubly stochastic differential equations with a superlinear growth generator

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

Partial differential equations
Infinitely many solutions for resonance elliptic systems


Harmonic analysis
On irregular sampling in Bernstein spaces

Functional analysis
Rudin's submodules of H2(D2)

Functional analysis/Algebraic geometry
Functional calculus on Nœtherian schemes

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]


Algebraic geometry
De la pureté locale à la décomposition
[From local purity to decomposition]



Issue no. 2 Table of Contents





Mathematical analysis
Non-universality of the Nazarov–Sodin constant

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]



Complex analysis/Analytic geometry
Additivity of the approximation functional of currents induced by Bergman kernels

Complex analysis/Differential geometry
A note on the Bergman Kernel


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

Partial differential equations/Mathematical physics
Stability of electromagnetic cavities perturbed by small perfectly conducting inclusions

Partial differential equations
The method of differential contractions

Functional analysis/Algebraic geometry
Noncommutative affine spaces and Lie-complete rings



Differential geometry
Rigidity in a conformal class of contact form on CR manifold

Differential geometry
A gap theorem for minimal submanifolds in Euclidean space

Analyse numérique
Carreaux de Bézier–Serendip
[Bézier–Serendipity patches]

Issue no. 3 Table of Contents




Number theory/Algebraic geometry
On Deligne's periods for tensor product motives


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]

Mathematical analysis/Functional analysis
Functions of perturbed noncommuting self-adjoint operators

Complex analysis
Complementability of exponential systems

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

Partial differential equations
Explicit solutions in evolutionary genetics and applications


Partial differential equations
Structure theorems for 2D linear and nonlinear Schrödinger equations

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

Partial differential equations/Optimal control
A localized nonstandard stabilizer for the Timoshenko beam


Algebraic geometry
Computing zeta functions on log smooth models


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]


Issue no. 4 Table of Contents



Number theory/Dynamical systems
On periods modulo p in arithmetic dynamics

Number theory
On the square-root partition function


Homological algebra/Algebraic geometry
Upper bounds for dimensions of singularity categories

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

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



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

Geometry/Algebraic geometry
A characterization of d-uple Veronese varieties


Analytic geometry
Logarithmic residues along plane curves

Differential geometry
Heat equation in a model matrix geometry

Differential geometry
The Atiyah class of a dg-vector bundle


Mathematical problems in mechanics
New identity and Korn's inequalities on a surface

Calculus of variations
Duality for non-convex variational problems

Issue no. 5 Table of Contents



Number theory/Algebra
The norm map of Witt vectors

Algebra
Integrable clusters

Algebra/Mathematical analysis
Confluent Vandermonde matrices and divided differences over quaternions

Algèbre homologique/Topologie
Homologies généralisées à coefficients
[Generalized homology theories with coefficients]




Mathematical analysis/Complex analysis
Extended τ-hypergeometric functions and associated properties

Mathematical analysis/Complex analysis
On some class of convex functions


Ordinary differential equations/Algebraic geometry
Tensor product and irregularity for holonomic D-modules

Functional analysis
KK-theory for some graph C-algebras


Algebraic geometry
On Euler–Poincaré characteristics


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

Probability theory/Statistics
A duality formula for Feynman–Kac path particle models

Issue no. 6 Table of Contents




Homological algebra/Topology
Two functions on Sp(g,R)

Mathematical analysis
Superposition with subunitary powers in Sobolev spaces

Mathematical analysis/Partial differential equations
Uniqueness in a class of Hamilton–Jacobi equations with constraints

Complex analysis/Functional analysis
Composition operators on Hilbert spaces of entire functions

Complex analysis/Functional analysis
On holomorphic domination, II


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

Partial differential equations/Harmonic analysis
Fractional Laplacians, extension problems and Lie groups

Partial differential equations/Numerical analysis
Wave splitting for time-dependent scattered field separation

Partial differential equations/Functional analysis
Nonnegative measures belonging to H1(R2)

Partial differential equations
Courant-sharp eigenvalues of a two-dimensional torus


Dynamical systems
The C0 general density theorem for geodesic flows



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]

Issue no. 7 Table of Contents



Number theory/Dynamical systems
A polynomial version of Sarnak's conjecture

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]

Lie algebras/Functional analysis
A note on the Kirillov model for representations of GLn(C)

Mathematical analysis/Functional analysis
Almost commuting functions of almost commuting self-adjoint operators

Mathematical analysis/Partial differential equations
An analytic proof of the planar quantitative isoperimetric inequality

Mathematical analysis/Dynamical systems
Ruelle operators with two complex parameters and applications

Mathematical analysis/Partial differential equations
Quasi-periodic solutions for nonlinear wave equations


Complex analysis/Analytic geometry
Boundary asymptotics of the relative Bergman kernel metric for elliptic curves



Geometry
The reverse Hlawka inequality in a Minkowski space



Numerical analysis/Mathematical problems in mechanics
Splitting schemes for incompressible fluid/thin-walled structure interaction with unfitted meshes



Issue no. 8 Table of Contents



Combinatorics/Geometry
The Heesch number for multiple prototiles is unbounded

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


Number theory
The truth about torsion in the CM case

Algebra/Group theory
Quasi-hereditary property of double Burnside algebras


Complex analysis/Dynamical systems
Brody curves in complicated sets

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


Partial differential equations/Calculus of variations
Global continuity of solutions to quasilinear equations with Morrey data


Functional analysis
Function spaces on quantum tori


Differential geometry
Stability of holomorphically parallelizable manifolds




Numerical analysis
Which spline spaces for design?

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]

Combinatorics
An identity on pairs of Appell-type polynomials

Homological algebra/Group theory
A refinement of a conjecture of Quillen

Group theory/Algebraic geometry
Automorphisms of T

Ordinary differential equations
Uniform simplification in a full neighborhood of a turning point

Ordinary differential equations/Dynamical systems
Formal normal form of Ak slow–fast systems



Partial differential equations/Differential geometry
Keller–Lieb–Thirring inequalities for Schrödinger operators on cylinders

Partial differential equations/Functional analysis
On the regularity of solutions to Poisson's equation




Partial differential equations/Numerical analysis
Asynchronous numerical scheme for modeling hyperbolic systems


Algebraic geometry
On a question of Mehta and Pauly

Differential geometry
On cosymplectic groupoids

Issue no. 10 Table of Contents



Combinatorics/Group theory
Combinatorics on a family of reduced Kronecker coefficients

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]

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,}]

Number theory/Harmonic analysis
On convergence almost everywhere of series of dilated functions

Algebra/Lie algebras
Generalized Joseph's decompositions

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

Mathematical analysis/Functional analysis
On the defect of compactness in Banach spaces

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]



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


Functional analysis/Dynamical systems
Disjoint mixing linear fractional composition operators in the unit ball





Issue no. 11 Table of Contents




Complex analysis
On weakly complete surfaces


Complex analysis/Differential geometry
Extension formulas and deformation invariance of Hodge numbers

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

Functional analysis/Geometry
Uniform nonextendability from nets




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


Differential geometry
On compact Ricci solitons in Finsler geometry

Topology/Computer science
Digital homotopy fixed point theory



Dynamical systems
On the hyperbolicity of C1-generic homoclinic classes


Issue no. 12 Table of Contents




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

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



Partial differential equations/Mathematical physics
Boundary regularity of weakly anchored harmonic maps


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



Algebraic geometry
Twisted cubic curves in the Segre variety


Topologie
Une généralisation de l'homologie de Khovanov
[A generalization of Khovanov's homology]



Probability theory
Conditionally Gaussian stochastic integrals

Probability theory
A central limit theorem for fields of martingale differences