Comptes Rendus

Issue no. 1 Table of Contents





Complex analysis/Functional analysis
Pluriharmonic Clark measures and analogs of model spaces
p. 7-12



Differential geometry
A Bernstein theorem for affine maximal-type hypersurfaces
p. 66-73

Differential geometry
Hypoelliptic Laplacian and twisted trace formula
p. 74-83



Issue no. 2 Table of Contents




Homological algebra/Topology
The algebraic transfer for the real projective space
p. 111-114

Mathematical analysis/Partial differential equations
Stokes and Navier–Stokes equations with Navier boundary condition
p. 115-119

Mathematical analysis/Functional analysis
A non-vanishing property for the signature of a path
p. 120-129

Analyse complexe/Géométrie analytique
Courants résidus et opérateurs de Monge–Ampère
[Residue currents and Monge–Ampère operators]
p. 130-142


Équations aux dérivées partielles/Problèmes mathématiques de la mécanique
Approximation locale précisée dans des problèmes multi-échelles avec défauts localisés
[Local precised approximation in multiscale problems with local defects]
p. 167-174

Partial differential equations/Harmonic analysis
Frequency decay for Navier–Stokes stationary solutions
p. 175-179

Partial differential equations/Differential geometry
Eigenvalue and gap estimates of isometric immersions for the Dirichlet-to-Neumann operator acting on p-forms
p. 180-187



Algebraic geometry/Algebra
A note on a question of Dimca and Greuel
p. 205-208


Dynamical systems/Probability theory
On the CLT for rotations and BV functions
p. 212-215

Mathematical physics
Superconductivity and the Aharonov–Bohm effect
p. 216-220

Mathematical problems in mechanics
A confinement problem for a linearly elastic Koiter's shell
p. 221-230

Issue no. 3 Table of Contents






Théorie des groupes/Systèmes dynamiques
Stabilité analytique et convergence locale de translatées en dynamique homogène S-arithmétique
[Analytic stability and local convergence of translates in S-arithmetic homogeneous dynamics]
p. 241-246

Mathematical analysis/Functional analysis
Polynomial birth–death processes and the second conjecture of Valent
p. 247-251


Partial differential equations/Complex analysis
On the summability of divergent power series satisfying singular PDEs
p. 258-262



Functional analysis/Complex analysis
Dynamics of weighted composition operators in the unit ball
p. 278-283

Geometry/Differential geometry
Simply connected open 3-manifolds with slow decay of positive scalar curvature
p. 284-290


Topology/Differential topology
Geography of simply connected spin symplectic 4-manifolds, II
p. 296-298



Issue no. 4 Table of Contents






p. 327-332

Mathematical analysis/Partial differential equations
An Ikehara-type theorem for functions convergent to zero
p. 333-338

Mathematical analysis/Harmonic analysis
Centered Hardy–Littlewood maximal operator on the real line: Lower bounds
p. 339-344

p. 345-348


Partial differential equations/Harmonic analysis
On the representation as exterior differentials of closed forms with L1-coefficients
p. 355-359




p. 389-394

Probability theory
SLE intersecting with random hulls
p. 395-400

Issue no. 5 Table of Contents





Théorie des nombres
Somme translatée sur des suites primitives et la conjecture d'Erdös
[Translated sum on primitive sequences and Erdös conjecture]
p. 413-417

Number theory
Parity of Schur's partition function
p. 418-423

p. 424-435


Partial differential equations/Potential theory
On the structure of diffuse measures for parabolic capacities
p. 443-449

Functional analysis/Probability theory
Stochastic aspects of the unitary dual group
p. 450-454

p. 455-461




Issue no. 6 Table of Contents




Number theory
Non-Wieferich primes under the abc conjecture
p. 483-486

p. 487-493


p. 513-519

p. 520-527



p. 537-544



p. 561-570

Analyse numérique
Sur la distance à l'instabilité de polynômes matriciels quadratiques
[On the distance to instability of quadratic matrix polynomials]
p. 571-575

p. 576-581

Issue no. 7 Table of Contents




Group theory/Harmonic analysis
Lp−Fourier inversion formula on certain locally compact groups
p. 583-588


p. 591-596

Partial differential equations
The Plateau problem from the perspective of optimal transport
p. 597-612

Functional analysis/Differential geometry
Riemann curvature tensor on RCD spaces and possible applications
p. 613-619

Geometry
Geometric triangulations and flips
p. 620-623

Differential geometry/Lie algebras
On left-invariant Einstein metrics that are not geodesic orbit
p. 624-628



p. 646-654

Issue no. 8 Table of Contents




Group theory/Number theory
Coset diagrams of the modular group and continued fractions
p. 655-663


p. 671-675


Geometry/Differential geometry
A centro-projective inequality
p. 681-685

p. 686-690

Issue no. 9 Table of Contents




Homological algebra/Topology
Some extension groups between exponential functors
p. 693-696

p. 697-707


Partial differential equations
On periodic subsolutions to steady second-order systems and applications
p. 721-728

p. 729-736

Topologie
Théorème de Whitehead stratifié et invariants de nœuds
[Stratified Whitehead's theorem and knot invariants]
p. 737-742

Issue no. 10 Table of Contents




Number theory/Mathematical analysis
Characterization of Kummer hypergeometric Bernoulli polynomials and applications
p. 743-751

Number theory/Combinatorics
A note on multiplicative automatic sequences
p. 752-755

p. 756-765

Number theory/Combinatorics
A sum–product theorem in matrix rings over finite fields
p. 766-770

p. 771-772

p. 773-777




Differential topology/Differential geometry
Differential K-theory, η-invariant, and localization
p. 803-813

Issue no. 11-12 Table of Contents




Combinatorics/Number theory
On two congruence conjectures
p. 815-822

p. 823-826


Algebra/Homological algebra
The lower extension groups and quotient categories
p. 832-840

p. 841-845

p. 846-850

Mathematical analysis/Partial differential equations
A note on estimates for elliptic systems with L1 data
p. 851-857

Potential theory/Complex analysis
A class of maximal plurisubharmonic functions
p. 858-862

Partial differential equations/Dynamical systems
Turing patterns induced by cross-diffusion in a 2D domain with strong Allee effect
p. 863-877

Partial differential equations
Symmetry and classification of solutions to an integral equation of the Choquard type
p. 878-888


Géométrie différentielle
Intégrales orbitales semi-simples et centre de l'algèbre enveloppante
[Semi-simple orbital integrals and center of the enveloping algebra]
p. 897-906



Mathematical problems in mechanics/Differential geometry
Continuity of a surface in Fréchet spaces
p. 917-921