Comptes Rendus

Issue no. 1 Table of Contents

Tradition et modernité aux Comptes Rendus de l’Académie des sciences
[Tradition and Modernity in the Comptes Rendus de l’Académie des sciences]
Ordinary Differential Equations, Dynamical Systems
First integrals of the Maxwell–Bloch system
Probability Theory, Statistics
On weak law of large numbers for sums of negatively superadditive dependent random variables
Partial Differential Equations
Upper bound estimate for the blow-up time of a class of integrodifferential equation of parabolic type involving variable source
Number Theory, Homological Algebra
A note on Gersten’s conjecture for étale cohomology over two-dimensional henselian regular local rings
Combinatorics, Mathematical Physics
A two-sided Faulhaber-like formula involving Bernoulli polynomials
Lie Algebras, Mathematical Physics
The linear 𝔫(1|N)–invariant differential operators and 𝔫(1|N)–relative cohomology
Lie Algebras, Algebraic Geometry
Diagrams for nonabelian Hodge spaces on the affine line
Algebraic Geometry, Differential Geometry
On the Morse–Novikov Cohomology of blowing up complex manifolds
Probability Theory
Gaussian lower bounds for the density via Malliavin calculus
Numerical Analysis
A second order in space combination of methods verifying a maximum principle for the discretization of diffusion operators
Algebra, Partial Differential Equations
Characterization of the moment space corresponding to the Levermore basis
Partial Differential Equations
Uniform boundedness of solutions for a predator-prey system with diffusion and chemotaxis
Group Theory
A characterization of Nested Groups in terms of conjugacy classes

Issue no. 2 Table of Contents

Average Field Games, Partial Differential Equations
Strategic advantages in mean field games with a major player
Shape Optimisation, Numerical Analysis
A connection between topological ligaments in shape optimization and thin tubular inhomogeneities
Algebraic Geometry, Hodge Structure
Rational cubic fourfolds in Hassett divisors
Geometry
An inequality for the minimum affine curvature of a plane curve
Geometry, Dynamical Systems
Pseudo-Riemannian Lie groups admitting left-invariant conformal vector fields
Analytic Geometry
Stability and holomorphic connections on vector bundles over LVMB manifolds
Number Theory
The number of unimodular roots of some reciprocal polynomials
Partial Differential Equations, Systems Theory
Remarks on local controllability for the Boussinesq system with Navier boundary condition
Algebraic Geometry
Note on the monodromy conjecture for a space monomial curve with a plane semigroup
Geometry, Topology
A remark on the contactomorphism group of overtwisted contact spheres
Geometry, Topology
Les strates ne possèdent pas de variétés complètes
[The strata do not contain complete varieties]
Number Theory, Reductive Group Theory
A characterization of the relation between two ℓ-modular correspondences
“Elementary” Number Theory
On a congruence involving q-Catalan numbers
Differential Geometry
Leaves of stacky Lie algebroids
Probability Theory
On the uniqueness of solutions to quadratic BSDEs with non-convex generators and unbounded terminal conditions
Mathematical Analysis, Partial Differential Equations
Symmetry of solutions to singular fractional elliptic equations and applications

Issue no. 3 Table of Contents

Dynamic Programming, Statistical Learning
Parameter Identification by Statistical Learning of a Stochastic Dynamical System Modelling a Fishery with price variation
Dynamical Systems
On the Billingsley dimension of Birkhoff average in the countable symbolic space
Statistics
On the nonparametric estimation of the functional expectile regression
Differential Geometry, Dynamical Systems
Deformation of singular foliations, 1: Local deformation cohomology
Optimal Control
Uniqueness theorem for partially observed elliptic systems and application to asymptotic synchronization
Algebraic Geometry, Analytic Geometry
Moduli space of rank one logarithmic connections over a compact Riemann surface
Mathematical Analysis, Ordinary Differential Equations
On the 2D “viscous incompressible fluid + rigid body” system with Navier conditions and unbounded energy
Complex Analysis, Analytic Geometry
On the boundedness of invariant hyperbolic domains
Complex Analysis
Inequalities Involving q-Analogue of Multiple Psi Functions
Partial Differential Equations
A note on hypocoercivity for kinetic equations with heavy-tailed equilibrium
Ordinary Differential Equations
Center Manifolds for Non-instantaneous Impulsive Equations Under Nonuniform Hyperbolicity
Harmonic Analysis
Heisenberg uniqueness pairs on the Euclidean spaces and the motion group
Homological Methods
Relative global dimensions and stable homotopy categories

Issue no. 4 Table of Contents

Number Theory
On pairs of equations involving unlike powers of primes and powers of 2
Differential Geometry
Remarks on homogeneous solitons of the G 2 -Laplacian flow
Functional Analysis
Norm-Controlled Inversion of Banach algebras of infinite matrices
Algebraic Geometry
Note on quasi-polarized canonical Calabi–Yau threefolds
Partial Differential Equations
On the Lagrangian Trajectories for the One-Dimensional Euler Alignment Model without Vacuum Velocity
Complex Analysis
L 2 estimates and existence theorems for ∂ ¯ b on Lipschitz boundaries of Q-pseudoconvex domains
Spectral Theory
On the disentanglement of Gaussian quantum states by symplectic rotations
Theory of Representations, Algebra, Combinatorics
Breaking down the reduced Kronecker coefficients
Group Theory, Differential Topology
Mapping class groups of simply connected high-dimensional manifolds need not be arithmetic
Dynamical Systems
The beginning of the Lagrange spectrum of certain origamis of genus two
Number Theory
Identités et estimations concernant le plus petit commun multiple de suites à forte divisibilité
[Identities and estimations involving the least common multiple of strong divisibility sequences]
Geometry, Probability Theory
A note on flatness of non separable tangent cone at a barycenter
Combinatorics, Probability Theory
Dual Grothendieck polynomials via last-passage percolation
Algebraic Topology
The mod 2 Margolis homology of the Dickson algebra
Algebraic Geometry
Indecomposable K 1 classes on a Surface and Membrane Integrals
Mathematical Analysis, Topology
Some comments on Laakso graphs and sets of differences

Issue no. 5 Table of Contents

Complex Analysis, Partial Differential Equations
On the canonical solution of ∂ ¯ on polydisks
Functional Analysis
Counterexamples for multi-parameter weighted paraproducts
Number Theory
Harmonic number identities via polynomials with r-Lah coefficients
Functional Analysis
Convex C 1 extensions of 1-jets from compact subsets of Hilbert spaces
“Elementary” Number Theory
The relative growth rate for the digits in Lüroth expansions
Homological Algebra
Tilting preserves finite global dimension
Statistics
Robustifying multiple-set linear canonical analysis with S-estimator
Homological Algebra, Algebraic Geometry
Descent for coherent sheaves along formal/open coverings
Probability Theory, Mathematical Physics
Molecules as metric measure spaces with Kato-bounded Ricci curvature
Algebraic Geometry
Diminished Fermat-type arrangements and unexpected curves
Analysis on non commutative Lie groups
The Harmonic Oscillator on the Heisenberg Group
Complex Analysis, Functional Analysis
On the Bohr inequality for the Cesáro operator
Mathematical Problems in Mechanics, Differential Geometry
A nonlinear Korn inequality in ℝ n with an explicitly bounded constant
Number Theory and Reductive Group Theory
On non-admissible irreducible modulo p representations of GL 2 (ℚ p 2 )

Issue no. 6 Table of Contents

Partial Differential Equations, Probability Theory
Low regularity solutions to the stochastic geometric wave equation driven by a fractional Brownian sheet
Statistics
A note on bias reduction
Functional Analysis
Convex maps on ℝ n and positive definite matrices
Partial Differential Equations
Geometric conditions for the null-controllability of hypoelliptic quadratic parabolic equations with moving control supports
Probabilities
A Berry–Esseen bound of order 1 n for martingales
Algebraic Geometry
Very special algebraic groups
Analysis, Harmonic Analysis
Combinatorial property of all positive measures in dimensions 2 and 3
Elliptical Partial Differential Equations
A Liouville theorem for the fractional Ginzburg–Landau equation
Partial Differential Equations, Functional Analysis
On an irreducibility type condition for the ergodicity of nonconservative semigroups
Probability theory, Differential geometry, Global analysis on manifolds
Determinants of Laplacians on discretizations of flat surfaces and analytic torsion
Complex Analysis
Picard-Hayman behavior of derivatives of meromorphic functions
Logic
An axiomatic approach to forcing and generic extensions

Issue no. 7 Table of Contents

Partial Differential Equations, Numerical Analysis
Electromagnetic shielding by thin periodic structures and the Faraday cage effect
Number Theory
Galois groups over rational function fields over skew fields
Mathematical Logic
Positive families and Boolean chains of copies of ultrahomogeneous structures
Partial Differential Equations
Effective transmission conditions for second-order elliptic equations on networks in the limit of thin domains
Metric Space Analysis
On the Geometric Rigidity interpolation estimate in thin bi-Lipschitz domains
Theory of functions and function spaces
A short proof of the infinitesimal Hilbertianity of the weighted Euclidean space
Birational Geometry
A remark on the rank of finite p-groups of birational automorphisms
Numerical Analysis
A transform based local RBF method for 2D linear PDE with Caputo–Fabrizio derivative
Mathematical Modelling, Biomathematics
Understanding and monitoring the evolution of the Covid-19 epidemic from medical emergency calls: the example of the Paris area
Complex Analytic Geometry
On the local univalence of nondegenerate holomorphic vector fields
Probabilities
A backward Itô–Ventzell formula with an application to stochastic interpolation

Issue no. 8 Table of Contents

Partial Differential Equations, Fluid Mechanics
Equilibrium configuration of a rectangular obstacle immersed in a channel flow
Number Theory
Green’s problem on additive complements of the squares
Knot Theory
On the modular Jones polynomial
Probabilities
The distribution of the maximum of an ARMA(1, 1) process
Number Theory
A complete monotonicity property of the multiple gamma function
Singularity Theory
Contact unimodal map germs from the plane to the plane
Partial Differential Equations, Probabilities
The asymptotics of stochastically perturbed reaction-diffusion equations and front propagation
Dynamical Systems
Appendix to the paper “On the Billingsley dimension of Birkhoff average in the countable symbolic space”
Topology
Intersection norms and one-faced collections
Number Theory
A short proof of the canonical polynomial van der Waerden theorem
Number Theory
Monotonicity and sharp inequalities related to complete (p,q)-elliptic integrals of the first kind

Issue no. 9-10 Table of Contents

Theory of Functions, Combinatorics
New asymptotic expansions on hyperfactorial functions
Numerical Analysis
Fast semi-automatic segmentation based on reduced basis
Partial Differential Equations
Concerning the pathological set in the context of probabilistic well-posedness
Number Theory
Primes in numerical semigroups
Combinatorics
On the exponential generating function of labelled trees
Control Theory
Real spectral values coexistence and their effect on the stability of time-delay systems: Vandermonde matrices and exponential decay
Mathematical Physics
Regularity results for a model in magnetohydrodynamics with imposed pressure
Biography, Number Theory
La vie et l’oeuvre de Jean-Marc Fontaine
Numerical Analysis
Geometry of martensite needles in shape memory alloys
Numerical Analysis
A functional equation with polynomial solutions and application to Neural Networks
Partial Differential Equation
Large-amplitude internal fronts in two-fluid systems
Number Theory
Abelian varieties with isogenous reductions
Spectral Theory, Operator Theory
On the necessity of the constant rank condition for L p estimates
Group Theory
Finite groups with Quaternion Sylow subgroup
Optimisation
Polynomial-degree-robust H(curl)-stability of discrete minimization in a tetrahedron

Issue no. 11-12 Table of Contents

Partial Differential Equations, Numerical Analysis
Some quasi-analytical solutions for propagative waves in free surface Euler equations
Partial Differential Equations
A nonlocal Dirichlet problem with impulsive action: estimates of the growth for the solutions
History of Mathematics
La vie et l’oeuvre de John Tate
Group Theory
A question of Malinowska on sizes of finite nonabelian simple groups in relation to involution sizes
Group Theory
An amenability-like property of finite energy path and loop groups
Probabilities
Comportement extrémal des copules diagonales et de Bertino
[Extremal behavior of diagonal and Bertino copulas]
Partial Differential Equations
Meromorphic solutions of generalized inviscid Burgers’ equations and related PDES
Number Theory
Hyperharmonic integers exist
Partial Differential Equations
Asymptotic behavior of solutions of fully nonlinear equations over exterior domains
Dynamical Systems
On the global attractors in one mathematical model of antiviral immunity
Harmonic Analysis
Fourier Quasicrystals with Unit Masses
Complex Analysis and Geometry
On the Fekete–Szegö type functionals for functions which are convex in the direction of the imaginary axis
Group Theory
Influence of the number of Sylow subgroups on solvability of finite groups
Probability Theory
On the Baum–Katz theorem for sequences of pairwise independent random variables with regularly varying normalizing constants
Algebra, Geometry and Topology
BV-operators and the secondary Hochschild complex