Comptes Rendus

Issue no. 1 Table of Contents

Number theory/Algebraic geometry
The scaling site

Mathematical analysis
Some simple conditions for univalence

Partial differential equations/Mathematical physics
Wave fluctuations near a de Sitter brane in an anti-de Sitter universe

Partial differential equations/Probability theory
On time regularity of stochastic evolution equations with monotone coefficients

Partial differential equations/Mathematical physics
Trapped modes supported by localized potentials in the zigzag graphene ribbon

Partial differential equations
Invariance of the support of solutions for a sixth-order thin film equation

Functional analysis
KK-theory of A-valued semi-circular systems

Analytic geometry
A singular Demailly–Păun theorem

Géométrie différentielle
Sur les déformations des feuilletages de Lie nilpotents
[On the deformations of nilpotent Lie foliations]

Differential geometry
Harmonic vector fields on Finsler manifolds

Issue no. 2 Table of Contents

Trimness of closed intervals in Cambrian semilattices

Combinatorics/Mathematical physics
Tropical curves in sandpiles

Number theory/Group theory
Markoff triples and strong approximation

Algebra/Mathematical analysis
Matrix positivity preservers in fixed dimension

Potential theory/Calculus of variations
Optimal geometric estimates for fractional Sobolev capacities

Complex analysis/Topology
The branch set of a quasiregular mapping between metric manifolds

Partial differential equations/Numerical analysis
Uniform temporal convergence of numerical schemes for miscible flow through porous media

Partial differential equations
A simple criterion for transverse linear instability of nonlinear waves

Issue no. 3 Table of Contents

Ensembles reconnaissables de séries formelles sur un corps fini
[Recognizable sets of power series over finite fields]

Number theory
On two problems of Ljujić and Nathanson

Mathematical analysis/Partial differential equations
Boutet de Monvel operators on singular manifolds

Mathematical analysis/Complex analysis
Koebe sets for certain classes of circularly symmetric functions

Ordinary differential equations/Partial differential equations
On an elliptic equation of p-Kirchhoff type with convection term

Partial differential equations/Mathematical physics
Delocalization of quasimodes on the disk

Partial differential equations/Numerical analysis
Asymptotic Preserving numerical schemes for multiscale parabolic problems

Partial differential equations
Symmetry results for solutions of equations involving zero-order operators

Partial differential equations/Numerical analysis
A slack approach to reduced-basis approximation and error estimation for variational inequalities

Algebraic geometry
Semi-regular varieties and variational Hodge conjecture

Analytic geometry/Differential geometry
The asymptotics of the holomorphic torsion forms

Differential geometry
Generalized contact bundles

Probability theory
A short proof of the Marchenko–Pastur theorem

Numerical analysis/Mathematical problems in mechanics
An interface condition to compute compressible flows in variable cross section ducts

Computer science
A note on probably certifiably correct algorithms

Issue no. 4 Table of Contents

Homological algebra/Algebraic geometry
Equivariant trace formula mod p

Homological algebra/Topology
Hochschild cohomology of poset algebras and Steenrod operations

Lie algebras/Mathematical physics
Generalized cluster structure on the Drinfeld double of GLn

Complex analysis
On estimates for the coefficients of a polynomial

Partial differential equations/Probability theory
A Schauder estimate for stochastic PDEs

Partial differential equations/Numerical analysis
Dirichlet-to-Neumann operator for diffraction problems in stratified anisotropic acoustic waveguides

Partial differential equations/Optimal control
Unique continuation estimates for the Kolmogorov equation in the whole space

Analytic geometry/Differential geometry
A remark on the convergence of the inverse σk-flow

Analytic geometry/Differential geometry
A Riemann–Roch–Grothendieck theorem for flat fibrations with complex fibers

Differential geometry
On the blow-up of points on locally conformally symplectic manifolds

Differential geometry/Dynamical systems
Remarks on the symplectic invariance of Aubry–Mather sets

Differential geometry
Analytic torsion, dynamical zeta functions and orbital integrals

Problèmes mathématiques de la mécanique
Analyse asymptotique de milieux élastiques stratifiés dans les espaces de fonctions à déformation bornée
[Asymptotic analysis of stratified elastic media in the space of functions with bounded deformation]

Issue no. 5 Table of Contents

Homological algebra/Algebraic geometry
Algebraic K-theory with coefficients of cyclic quotient singularities

Homological algebra/Algebraic geometry
On A1-fundamental groups of isotropic reductive groups

Ordinary differential equations/Analytic geometry
On the number of fibrations transverse to a rational curve in complex surfaces

Ordinary differential equations/Dynamical systems
A higher-dimensional Poincaré–Birkhoff theorem without monotone twist

Partial differential equations
Solenoidal extensions of vector fields in two-dimensional unbounded domains

Partial differential equations/Dynamical systems
Periodic solitons for the elliptic–elliptic focussing Davey–Stewartson equations

Partial differential equations/Numerical analysis
On non-linear Stokes problems with viscosity depending on the distance to the wall

Algebraic geometry
Newton–Okounkov bodies and complexity functions

Analytic geometry/Differential geometry
G-invariant holomorphic Morse inequalities

Modèle non paramétrique parcimonieux pour la détection des points d'impact d'une variable fonctionnelle
[Nonparametric selection of impact points in functional regression]

Issue no. 6 Table of Contents

Théorie des nombres
Sur l'exemple d'Euler d'une fonction complètement multiplicative à somme nulle
[On Euler's example of a completely multiplicative function with sum 0]

Number theory/Algebraic geometry
Ordinary primes for Abelian surfaces

Mathematical analysis/Functional analysis
Distance formulas in group algebras

Analyse complexe/Géométrie analytique
Extension de courants fermés à l'espace projectif
[Extension of closed currents to the projective space]

Partial differential equations
Small strong solutions for time-dependent mean field games with local coupling

Partial differential equations/Calculus of variations
A maximum principle for the system Δu − ∇W(u)=0

Partial differential equations/Mathematical problems in mechanics
On the existence and qualitative theory of stratified solitary water waves

Partial differential equations/Mathematical physics
Spectral analysis near the low ground energy of magnetic Pauli operators

Functional analysis/Geometry
On norms taking integer values on the integer lattice

Geometry/Differential topology
The Euler class of an umbilic foliation

Probability theory/Statistics
A weak characterization of real Wishart matrices by quadratic forms

Normalité asymptotique locale de processus autorégressifs hilbertiens
[Local asymptotic normality of Hilbertian autoregressive processes]

Mathematical problems in mechanics/Calculus of variations
Optimization of the branching pattern in coherent phase transitions

Issue no. 7 Table of Contents

La logique des parties fractionnaires de nombres réels
[The logic of fractional parts of real numbers]

Combinatoire/Théorie des nombres
Deux analogues au déterminant de Maillet
[Two analogues of Maillet's determinant]

Number theory/Algebraic geometry
Full faithfulness for overconvergent F-de Rham–Witt connections

Number theory/Algebraic geometry
About the mixed André–Oort conjecture: Reduction to a lower bound for the pure case

Algebra/Homological algebra
Some remarks on a theorem of Bergman

Partial differential equations/Calculus of variations
Minimizing movements along a sequence of functionals and curves of maximal slope

Partial differential equations/Numerical analysis
Constructing exact sequences on non-conforming discrete spaces

Functional analysis
On connected Lie groups and the approximation property

Algebraic geometry
Logarithmic geometry and the Milnor fibration

Dynamical systems
Invariant measures for piecewise continuous maps

Numerical analysis

Issue no. 8 Table of Contents

Number theory
The greatest common divisor of certain binomial coefficients

Mathematical analysis/Harmonic analysis
Fourier multipliers and group von Neumann algebras

Équations aux dérivées partielles
Le système de Vlasov–Poisson effectif pour les plasmas fortement magnétisés
[The effective Vlasov–Poisson system for strongly magnetized plasmas]

Partial differential equations/Optimal control
Approximate controllability of coupled 1-d wave equations on star-shaped graphs

Partial differential equations/Numerical analysis
An optimization method for elastic shape matching

Partial differential equations
Identifiability for a severely ill-posed oxygen balance model

Équations aux dérivées partielles/Analyse numérique
Stabilisation de problèmes non coercifs via une méthode numérique utilisant la mesure invariante
[Stabilization of non-coercive problems using the invariant measure]

Partial differential equations
On uniqueness for a rough transport–diffusion equation

Partial differential equations/Functional analysis
Bourgain–Brézis–Mironescu formula for magnetic operators

Differential geometry
E-Bochner curvature tensor on generalized Sasakian space forms

Estimation locale linéaire de la fonction de régression pour des variables hilbertiennes
[Local linear estimation of the regression function with Hilbertian variables]

Mathematical problems in mechanics
Dynamic behavior of convergent rapid granular flows

Issue no. 9 Table of Contents

Complex analysis/Functional analysis
Weighted composition operators that are complex symmetric on the Fock space F2(Cn)

Complex analysis
On h-extendible domains and associated models

Partial differential equations
Quantum ergodicity for Eisenstein functions

Équations aux dérivées partielles/Physique mathématique
Dynamique moléculaire de la prédissociation
[Estimates on the molecular dynamics for the predissociation process]

Algebraic geometry/Analytic geometry
Kobayashi measure hyperbolicity for singular directed varieties of general type

Algebraic geometry
The motive of the Fano surface of lines

Mathematical problems in mechanics
A class of compressible multiphase flow models

Calculus of variations/Theory of signals
Reflective filtered backprojection

Issue no. 10 Table of Contents

Mould calculus – On the secondary symmetries

Théorie des nombres/Théorie des groupes
Équidistribution non archimédienne et actions de groupes sur les arbres
[Non-Archimedean equidistribution and group actions on trees]

Analyse mathématique/Géométrie
Une remarque à propos de l'équivalence bilipschitzienne entre des ensembles de Delone
[A remark concerning bi-Lipschitz equivalence of Delone sets]

Partial differential equations/Calculus of variations
Higher-order topological sensitivity analysis for the Laplace operator

Analyse fonctionnelle
Convexité uniforme faible dans les espaces d'interpolation
[Weak uniform convexity in interpolation spaces]

Contrôle optimal
Une nouvelle approche pour la synchronisation approchée d'un système couplé d'équations des ondes : contrôles directs et indirects
[A new approach for the approximate synchronization for a coupled system of wave equations: Direct and indirect controls]

Differential geometry
Bergman kernels on punctured Riemann surfaces

Differential geometry
On the rank of a product of manifolds

Dynamical systems/Mathematical physics
Ergodicity of the Ehrenfest wind–tree model

Issue no. 11 Table of Contents

Homological algebra/Topology
Higher-order and secondary Hochschild cohomology

Mathematical analysis/Partial differential equations
Existence of minimizers for the 2d stationary Griffith fracture model

Ordinary differential equations/Partial differential equations
Almost automorphic evolution equations with compact almost automorphic solutions

Partial differential equations/Calculus of variations
Variational existence theory for hydroelastic solitary waves

Functional analysis/Numerical analysis
A converse to Fortin's Lemma in Banach spaces

Functional analysis/Dynamical systems
Generalized adding machines and Julia sets

Optimal control/Probability theory
An existence theorem for multidimensional BSDEs with mixed reflections

Algebraic geometry/Differential geometry
Residue formula for Morita–Futaki–Bott invariant on orbifolds

Numerical analysis/Mathematical problems in mechanics
A kinematic vector penalty–projection method for incompressible flow with variable density

Numerical analysis
The parareal algorithm for American options

Issue no. 12 Table of Contents

Harmonic-counting measures and spectral theory of lens spaces

Group theory/Geometry
Horofunctions on graphs of linear growth

Mathematical analysis/Theory of signals
Best bases for signal spaces

Ordinary differential equations/Partial differential equations
Uniqueness and Lagrangianity for solutions with lack of integrability of the continuity equation

Analyse fonctionnelle
Interpolation : Bθ = Bθ pour un θ entraîne Bθ = Bθ pour tout θ
[Interpolation: Bθ = Bθ for some beta implies Bθ = Bθ for all θ]

Analyse fonctionnelle
Plongements de Carleson absolument sommants
[Absolutely summing Carleson embedding]

Algebraic geometry
Ulrich bundles on blowing ups

Algebraic geometry
A density result for real hyperelliptic curves

Géométrie algébrique
Revêtements tangentiels et tours infinies d'Artin–Schreier
[Tangential covers and infinite Artin–Schreier towers]

Differential geometry
Index of projective elliptic operators