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]
p. 1-2
Ordinary Differential Equations, Dynamical Systems
First integrals of the Maxwell–Bloch system
p. 3-11
Probability Theory, Statistics
On weak law of large numbers for sums of negatively superadditive dependent random variables
p. 13-21
Partial Differential Equations
Upper bound estimate for the blow-up time of a class of integrodifferential equation of parabolic type involving variable source
p. 23-32
Number Theory, Homological Algebra
A note on Gersten’s conjecture for étale cohomology over two-dimensional henselian regular local rings
p. 33-39
Combinatorics, Mathematical Physics
A two-sided Faulhaber-like formula involving Bernoulli polynomials
p. 41-44
Lie Algebras, Mathematical Physics
The linear 𝔫(1|N)–invariant differential operators and 𝔫(1|N)–relative cohomology
p. 45-58
Lie Algebras, Algebraic Geometry
Diagrams for nonabelian Hodge spaces on the affine line
p. 59-65
Algebraic Geometry, Differential Geometry
On the Morse–Novikov Cohomology of blowing up complex manifolds
p. 67-77
Probability Theory
Gaussian lower bounds for the density via Malliavin calculus
p. 79-87
Numerical Analysis
A second order in space combination of methods verifying a maximum principle for the discretization of diffusion operators
p. 89-95
Algebra, Partial Differential Equations
Characterization of the moment space corresponding to the Levermore basis
p. 97-102
Partial Differential Equations
Uniform boundedness of solutions for a predator-prey system with diffusion and chemotaxis
p. 103-108
Group Theory
A characterization of Nested Groups in terms of conjugacy classes
p. 109-112

Issue no. 2 Table of Contents

Average Field Games, Partial Differential Equations
Strategic advantages in mean field games with a major player
p. 113-118
Shape Optimisation, Numerical Analysis
A connection between topological ligaments in shape optimization and thin tubular inhomogeneities
p. 119-127
Algebraic Geometry, Hodge Structure
Rational cubic fourfolds in Hassett divisors
p. 129-137
Geometry
An inequality for the minimum affine curvature of a plane curve
p. 139-142
Geometry, Dynamical Systems
Pseudo-Riemannian Lie groups admitting left-invariant conformal vector fields
p. 143-149
Analytic Geometry
Stability and holomorphic connections on vector bundles over LVMB manifolds
p. 151-157
Number Theory
The number of unimodular roots of some reciprocal polynomials
p. 159-168
Partial Differential Equations, Systems Theory
Remarks on local controllability for the Boussinesq system with Navier boundary condition
p. 169-175
Algebraic Geometry
Note on the monodromy conjecture for a space monomial curve with a plane semigroup
p. 177-187
Geometry, Topology
A remark on the contactomorphism group of overtwisted contact spheres
p. 189-196
Geometry, Topology
Les strates ne possèdent pas de variétés complètes
[The strata do not contain complete varieties]
p. 197-200
Number Theory, Reductive Group Theory
A characterization of the relation between two ℓ-modular correspondences
p. 201-209
“Elementary” Number Theory
On a congruence involving q-Catalan numbers
p. 211-215
Differential Geometry
Leaves of stacky Lie algebroids
p. 217-226
Probability Theory
On the uniqueness of solutions to quadratic BSDEs with non-convex generators and unbounded terminal conditions
p. 227-235
Mathematical Analysis, Partial Differential Equations
Symmetry of solutions to singular fractional elliptic equations and applications
p. 237-243

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
p. 245-253
Dynamical Systems
On the Billingsley dimension of Birkhoff average in the countable symbolic space
p. 255-265
Statistics
On the nonparametric estimation of the functional expectile regression
p. 267-272
Differential Geometry, Dynamical Systems
Deformation of singular foliations, 1: Local deformation cohomology
p. 273-283
Optimal Control
Uniqueness theorem for partially observed elliptic systems and application to asymptotic synchronization
p. 285-295
Algebraic Geometry, Analytic Geometry
Moduli space of rank one logarithmic connections over a compact Riemann surface
p. 297-301
Mathematical Analysis, Ordinary Differential Equations
On the 2D “viscous incompressible fluid + rigid body” system with Navier conditions and unbounded energy
p. 303-319
Complex Analysis, Analytic Geometry
On the boundedness of invariant hyperbolic domains
p. 321-326
Complex Analysis
Inequalities Involving q-Analogue of Multiple Psi Functions
p. 327-332
Partial Differential Equations
A note on hypocoercivity for kinetic equations with heavy-tailed equilibrium
p. 333-340
Ordinary Differential Equations
Center Manifolds for Non-instantaneous Impulsive Equations Under Nonuniform Hyperbolicity
p. 341-364
Harmonic Analysis
Heisenberg uniqueness pairs on the Euclidean spaces and the motion group
p. 365-377
Homological Methods
Relative global dimensions and stable homotopy categories
p. 379-392

Issue no. 4 Table of Contents

Number Theory
On pairs of equations involving unlike powers of primes and powers of 2
p. 393-400
Differential Geometry
Remarks on homogeneous solitons of the G 2 -Laplacian flow
p. 401-406
Functional Analysis
Norm-Controlled Inversion of Banach algebras of infinite matrices
p. 407-414
Algebraic Geometry
Note on quasi-polarized canonical Calabi–Yau threefolds
p. 415-420
Partial Differential Equations
On the Lagrangian Trajectories for the One-Dimensional Euler Alignment Model without Vacuum Velocity
p. 421-433
Complex Analysis
L 2 estimates and existence theorems for ∂ ¯ b on Lipschitz boundaries of Q-pseudoconvex domains
p. 435-458
Spectral Theory
On the disentanglement of Gaussian quantum states by symplectic rotations
p. 459-462
Theory of Representations, Algebra, Combinatorics
Breaking down the reduced Kronecker coefficients
p. 463-468
Group Theory, Differential Topology
Mapping class groups of simply connected high-dimensional manifolds need not be arithmetic
p. 469-473
Dynamical Systems
The beginning of the Lagrange spectrum of certain origamis of genus two
p. 475-479
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]
p. 481-487
Geometry, Probability Theory
A note on flatness of non separable tangent cone at a barycenter
p. 489-495
Combinatorics, Probability Theory
Dual Grothendieck polynomials via last-passage percolation
p. 497-503
Algebraic Topology
The mod 2 Margolis homology of the Dickson algebra
p. 505-510
Algebraic Geometry
Indecomposable K 1 classes on a Surface and Membrane Integrals
p. 511-513
Mathematical Analysis, Topology
Some comments on Laakso graphs and sets of differences
p. 515-521

Issue no. 5 Table of Contents

Complex Analysis, Partial Differential Equations
On the canonical solution of ∂ ¯ on polydisks
p. 523-528
Functional Analysis
Counterexamples for multi-parameter weighted paraproducts
p. 529-534
Number Theory
Harmonic number identities via polynomials with r-Lah coefficients
p. 535-550
Functional Analysis
Convex C 1 extensions of 1-jets from compact subsets of Hilbert spaces
p. 551-556
“Elementary” Number Theory
The relative growth rate for the digits in Lüroth expansions
p. 557-562
Homological Algebra
Tilting preserves finite global dimension
p. 563-570
Statistics
Robustifying multiple-set linear canonical analysis with S-estimator
p. 571-576
Homological Algebra, Algebraic Geometry
Descent for coherent sheaves along formal/open coverings
p. 577-594
Probability Theory, Mathematical Physics
Molecules as metric measure spaces with Kato-bounded Ricci curvature
p. 595-602
Algebraic Geometry
Diminished Fermat-type arrangements and unexpected curves
p. 603-608
Analysis on non commutative Lie groups
The Harmonic Oscillator on the Heisenberg Group
p. 609-614
Complex Analysis, Functional Analysis
On the Bohr inequality for the Cesáro operator
p. 615-620
Mathematical Problems in Mechanics, Differential Geometry
A nonlinear Korn inequality in ℝ n with an explicitly bounded constant
p. 621-626
Number Theory and Reductive Group Theory
On non-admissible irreducible modulo p representations of GL 2 (ℚ p 2 )
p. 627-632

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
p. 633-639
Statistics
A note on bias reduction
p. 641-644
Functional Analysis
Convex maps on ℝ n and positive definite matrices
p. 645-649
Partial Differential Equations
Geometric conditions for the null-controllability of hypoelliptic quadratic parabolic equations with moving control supports
p. 651-700
Probabilities
A Berry–Esseen bound of order 1 n for martingales
p. 701-712
Algebraic Geometry
Very special algebraic groups
p. 713-719
Analysis, Harmonic Analysis
Combinatorial property of all positive measures in dimensions 2 and 3
p. 721-725
Elliptical Partial Differential Equations
A Liouville theorem for the fractional Ginzburg–Landau equation
p. 727-731
Partial Differential Equations, Functional Analysis
On an irreducibility type condition for the ergodicity of nonconservative semigroups
p. 733-742
Probability theory, Differential geometry, Global analysis on manifolds
Determinants of Laplacians on discretizations of flat surfaces and analytic torsion
p. 743-751
Complex Analysis
Picard-Hayman behavior of derivatives of meromorphic functions
p. 753-756
Logic
An axiomatic approach to forcing and generic extensions
p. 757-775

Issue no. 7 Table of Contents

Partial Differential Equations, Numerical Analysis
Electromagnetic shielding by thin periodic structures and the Faraday cage effect
p. 777-784
Number Theory
Galois groups over rational function fields over skew fields
p. 785-790
Mathematical Logic
Positive families and Boolean chains of copies of ultrahomogeneous structures
p. 791-796
Partial Differential Equations
Effective transmission conditions for second-order elliptic equations on networks in the limit of thin domains
p. 797-809
Metric Space Analysis
On the Geometric Rigidity interpolation estimate in thin bi-Lipschitz domains
p. 811-816
Theory of functions and function spaces
A short proof of the infinitesimal Hilbertianity of the weighted Euclidean space
p. 817-825
Birational Geometry
A remark on the rank of finite p-groups of birational automorphisms
p. 827-829
Numerical Analysis
A transform based local RBF method for 2D linear PDE with Caputo–Fabrizio derivative
p. 831-842
Mathematical Modelling, Biomathematics
Understanding and monitoring the evolution of the Covid-19 epidemic from medical emergency calls: the example of the Paris area
p. 843-875
Complex Analytic Geometry
On the local univalence of nondegenerate holomorphic vector fields
p. 877-880
Probabilities
A backward Itô–Ventzell formula with an application to stochastic interpolation
p. 881-886

Issue no. 8 Table of Contents

Partial Differential Equations, Fluid Mechanics
Equilibrium configuration of a rectangular obstacle immersed in a channel flow
p. 887-896
Number Theory
Green’s problem on additive complements of the squares
p. 897-900
Knot Theory
On the modular Jones polynomial
p. 901-908
Probabilities
The distribution of the maximum of an ARMA(1, 1) process
p. 909-916
Number Theory
A complete monotonicity property of the multiple gamma function
p. 917-922
Singularity Theory
Contact unimodal map germs from the plane to the plane
p. 923-930
Partial Differential Equations, Probabilities
The asymptotics of stochastically perturbed reaction-diffusion equations and front propagation
p. 931-938
Dynamical Systems
Appendix to the paper “On the Billingsley dimension of Birkhoff average in the countable symbolic space”
p. 939
Topology
Intersection norms and one-faced collections
p. 941-956
Number Theory
A short proof of the canonical polynomial van der Waerden theorem
p. 957-959
Number Theory
Monotonicity and sharp inequalities related to complete (p,q)-elliptic integrals of the first kind
p. 961-970

Issue no. 9-10 Table of Contents

Theory of Functions, Combinatorics
New asymptotic expansions on hyperfactorial functions
p. 971-980
Numerical Analysis
Fast semi-automatic segmentation based on reduced basis
p. 981-987
Partial Differential Equations
Concerning the pathological set in the context of probabilistic well-posedness
p. 989-999
Number Theory
Primes in numerical semigroups
p. 1001-1004
Combinatorics
On the exponential generating function of labelled trees
p. 1005-1009
Control Theory
Real spectral values coexistence and their effect on the stability of time-delay systems: Vandermonde matrices and exponential decay
p. 1011-1032
Mathematical Physics
Regularity results for a model in magnetohydrodynamics with imposed pressure
p. 1033-1043
Biography, Number Theory
La vie et l’oeuvre de Jean-Marc Fontaine
p. 1045-1046
Numerical Analysis
Geometry of martensite needles in shape memory alloys
p. 1047-1057
Numerical Analysis
A functional equation with polynomial solutions and application to Neural Networks
p. 1059-1072
Partial Differential Equation
Large-amplitude internal fronts in two-fluid systems
p. 1073-1083
Number Theory
Abelian varieties with isogenous reductions
p. 1085-1089
Spectral Theory, Operator Theory
On the necessity of the constant rank condition for L p estimates
p. 1091-1095
Group Theory
Finite groups with Quaternion Sylow subgroup
p. 1097-1099
Optimisation
Polynomial-degree-robust H(curl)-stability of discrete minimization in a tetrahedron
p. 1101-1110

Issue no. 11-12 Table of Contents

Partial Differential Equations, Numerical Analysis
Some quasi-analytical solutions for propagative waves in free surface Euler equations
p. 1111-1118
Partial Differential Equations
A nonlocal Dirichlet problem with impulsive action: estimates of the growth for the solutions
p. 1119-1128
History of Mathematics
La vie et l’oeuvre de John Tate
p. 1129-1133
Group Theory
A question of Malinowska on sizes of finite nonabelian simple groups in relation to involution sizes
p. 1135-1138
Group Theory
An amenability-like property of finite energy path and loop groups
p. 1139-1155
Probabilities
Comportement extrémal des copules diagonales et de Bertino
[Extremal behavior of diagonal and Bertino copulas]
p. 1157-1167
Partial Differential Equations
Meromorphic solutions of generalized inviscid Burgers’ equations and related PDES
p. 1169-1178
Number Theory
Hyperharmonic integers exist
p. 1179-1185
Partial Differential Equations
Asymptotic behavior of solutions of fully nonlinear equations over exterior domains
p. 1187-1197
Dynamical Systems
On the global attractors in one mathematical model of antiviral immunity
p. 1199-1205
Harmonic Analysis
Fourier Quasicrystals with Unit Masses
p. 1207-1211
Complex Analysis and Geometry
On the Fekete–Szegö type functionals for functions which are convex in the direction of the imaginary axis
p. 1213-1226
Group Theory
Influence of the number of Sylow subgroups on solvability of finite groups
p. 1227-1230
Probability Theory
On the Baum–Katz theorem for sequences of pairwise independent random variables with regularly varying normalizing constants
p. 1231-1238
Algebra, Geometry and Topology
BV-operators and the secondary Hochschild complex
p. 1239-1258