Science China-Mathematics

Article	Citations
A standard form of incompressible surfaces in 3-dimensional handlebodies	26
Modular framed vertex operator algebras and $$\mathbb{Z}[{1\over 2}]$$-forms	23
Atiyah and Todd classes of regular Lie algebroids	22
Gorenstein projective modules over rings of Morita contexts	20
On self-affine tiles that are homeomorphic to a ball	19
Splitting of the virtual class for genus one stable quasimaps	18
The (α, β)-Eulerian polynomials and descent-Stirling statistics on permutations	17
Mirror symmetry for special nilpotent orbit closures	14
Limit theorems of the 2D stochastic Navier-Stokes equation driven by a time-periodic force and a degenerate noise	14
Hereditary uniform property Γ	13
Tensor modules over Witt superalgebras	13
Lp-regularity of a geometrically nonlinear system in supercritical dimensions	13
Further study on Horozov-Iliev’s method of estimating the number of limit cycles	12
Normalized Wolfe-Powell-type local minimax method for finding multiple unstable solutions of nonlinear elliptic PDEs	12
Second-order necessary optimality conditions for multi-objective optimal control problems on Riemannian manifolds	12
Generic singularities for 2D pressureless flows	12
The Busemann-Petty problem on entropy of log-concave functions	12
Existence for VT-harmonic maps from compact manifolds with boundary	11
Second-order approximation of exponential random graph models	11
A robust Hessian-based trust region algorithm for spherical conformal parameterizations	11
Estimation and inference in ultrahigh-dimensional partially linear single-index models	10
Regularity for minimizing sequences of some variational integrals	10
Explicit results for ergodic properties of SDEs driven by cylindrical symmetric stable noise	9
Global structure of spectra of periodic non-Hermitian Jacobi operators	9
The polynomial Furstenberg joining and its applications	9

On the Rosensweig model: A linear, energy-stable, and convergent finite element method	9
Analysis of the local discontinuous Galerkin method with generalized fluxes for one-dimensional nonlinear convection-diffusion systems	9
Nearly optimal Bayesian shrinkage for high-dimensional regression	9
Data-driven slicing for dimension reduction in regressions: A likelihood-ratio approach	9
Ground states for quasilinear equations of N-Laplacian type with critical exponential growth and lack of compactness	9
A neural branch-and-price for truck scheduling in cross-docks	8
On Seidel representation in quantum K-theory of Grassmannians	8
Asymptotic false discovery control of the Benjamini-Hochberg procedure for pairwise comparisons	8
Hölder continuous weak solutions of the 2D Boussinesq equation with thermal diffusion	8
Quasimonotone random and stochastic functional differential equations with applications	8
Boundary regularity for mean curvature flows of higher codimension	8
Spectral flow, Llarull’s rigidity theorem in odd dimensions and its generalization	8
Nearly optimal stochastic approximation for online principal subspace estimation	8
Long-wave instabilities	8
Local null controllability of the viscous Burgers equation on the whole line	8
Dimension types of invariance entropies for uncertain control systems	8
On asymptotic stability of the 3D Boussinesq equations without heat conduction	8
Generating non-jumps from a known one	7
Product (α1, α2)-modulation spaces	7
Manifolds of positive Ricci curvature, quadratically asymptotically nonnegative curvature, and infinite Betti numbers	7
Global existence of large strong solutions to the 3D barotropic compressible Navier-Stokes equations with density-dependent viscosities	7
Virtual homological eigenvalues and the Weil-Petersson translation length	6
Some critical fractional Hartree equations: Nondegeneracy of the positive solutions and its applications	6
Conformally flat, minimal, Lagrangian submanifolds in complex space forms	6
Optimal subsampling for principal component analysis	6
Triples of almost primes	6
Compatibility of weak approximation for zero-cycles on products of varieties	6
Sobolev embeddings in infinite dimensions	6
Alleviating limit cycling in training GANs with an optimization technique	6
On the inviscid limit of the compressible Navier-Stokes equations near Onsager’s regularity in bounded domains	6
W-translated Schubert divisors and transversal intersections	6
A geometric characterization of planar Sobolev extension domains	6
Time-inconsistent stochastic linear-quadratic control problem with indefinite control weight costs	6
Global classical solutions for 3D compressible magneto-micropolar fluids without resistivity and spin viscosity in a strip domain	6
Distribution/correlation-free test for two-sample means in high-dimensional functional data with eigenvalue decay relaxed	6
Nitsche-XFEM for a time fractional diffusion interface problem	6
Carleman estimates for second-order elliptic operators with limiting weights: An elementary approach	6
ACC for generalized log canonical thresholds for complex analytic spaces	5
Takens theorem for nonautonomous partially hyperbolic dynamical systems	5
A weighted Reilly formula for differential forms and sharp Steklov eigenvalue estimates	5
Bubbling solutions of fourth order mean field equations on $\mathbb{S}^{4}$	5
Derived norms of finite groups	5
A priori estimates versus arbitrarily large solutions for fractional semi-linear elliptic equations with critical Sobolev exponent	5
Concavity property of minimal L2 integrals with Lebesgue measurable gain VI: Fibrations over products of open Riemann surfaces	5
Statistical inference in the partial functional linear expectile regression model	5
Semi-derived Ringel-Hall algebras and Hall algebras of odd-periodic relative derived categories	5
A general mirror equivalence theorem for coset vertex operator algebras	4
The stable Auslander-Reiten components of certain monomorphism categories	4
Orbital stability of two-component peakons	4
Normalized solutions to the Chern-Simons-Schrödinger system under the nonlinear combined effect	4

Spectral decimation for a graph-directed fractal pair	4
An oscillation-free Hermite WENO scheme for hyperbolic conservation laws	4
VNM utility and risk aversion tendency with multiple commodities: A theoretical study	4
Rankin-Selberg convolutions for GL(n)×GL(n) and GL(n)×GL(n−1) for principal series representations	4
Generation of sutured manifolds	4
Periodic solutions of a semilinear variable coefficient wave equation under asymptotic nonresonance conditions	4
Quantum convolution inequalities on Frobenius von Neumann algebras	4
Bubbling analysis for extrinsic biharmonic maps from general Riemannian 4-manifolds	4
Zero viscosity limit of steady compressible shear flows with Navier-slip boundary conditions	4
On Halmos’ third problem on Banach spaces	4
Operators with the Lipschitz bounded approximation property	4
Deforming submanifolds of arbitrary codimension in a sphere	4
High-dimensional large-scale mixed-type data imputation under missing at random	4
Global smooth solutions of 2D quasilinear wave equations with higher-order null conditions and short pulse initial data	4
On the stability of shear flows of Prandtl type for the steady Navier-Stokes equations	3
The lowest upper bound on the number of zeros of a class of hyperelliptic Abelian integrals	3
A remarkable class of elliptic surfaces of amplitude 1 in weighted projective spaces	3
Normalized solutions for Schrödinger equations with the gauge field and mixed dispersion	3
Learning to select the recombination operator for derivative-free optimization	3
The sum of Hamiltonian manifolds	3
Numerical analysis of a Neumann boundary control problem with a stochastic parabolic equation	3
On a generalized homogeneous Hahn polynomial	3
Splitting positive sets	3
The symmetric space, strong isotropy irreducibility and equigeodesic properties	3
Sharp bilinear decomposition for products of both anisotropic Hardy spaces and their dual spaces with its applications to endpoint boundedness of commutators	3
On the maximin distance properties of orthogonal designs via the rotation	3
Behavior of solutions to a Petrovsky equation with damping and variable-exponent sources	3
On symplectic automorphisms of elliptic surfaces acting on CH0	3
Superconnections and an intrinsic Gauss-Bonnet-Chern formula for Finsler manifolds	3
New structures for colored HOMFLY-PT invariants	3
Torsion-free abelian groups are faithfully Borel complete and pure embeddability is a complete analytic quasi-order	3
A new class of generalized quasi-variational inequalities with applications to Oseen problems under nonsmooth boundary conditions	3
RCV-based error density estimation in the ultrahigh dimensional additive model	3
The positive mass theorem for asymptotically flat manifolds with isolated conical singularities	3
On equidistribution theorem for multi-sequences of holomorphic line bundles	3
Growth of generalized Weyl algebras over polynomial algebras and Laurent polynomial algebras	3
Gaussian limit for determinantal point processes with J-Hermitian kernels	3
Nadel-type multiplier ideal sheaves on complex spaces with singularities	3
Nonconforming finite element Stokes complexes in three dimensions	3
Unified convergence analysis of a second-order method of multipliers for nonlinear conic programming	3
A class of Hessian quotient equations in warped product manifolds	3
Analysis of the nonlinear scheme preserving the maximum principle for the anisotropic diffusion equation on distorted meshes	3
A Hilbert-Schmidt integral operator and the Weil distribution	3
A new perturbation to a critical elliptic problem with a variable exponent	3
Dirichlet problem for Schrödinger equation with the boundary value in the BMO space	3
Optimal pivot path of the simplex method for linear programming based on reinforcement learning	3
The positive energy conjecture for a class of AHM metrics on $${\mathbb{R}^2} \times {\mathbb{T}^{n - 2}}$$	3
Long-time asymptotic behavior for the nonlocal nonlinear Schrödinger equation in the solitonic region	3
Multiplicative forms on Poisson groupoids	3
Uniqueness of the Reissner-Nordström metric near the null infinity	3
Three-parameter approximations of sums of locally dependent random variables via Stein’s method	3
Strong relaxation limit and uniform time asymptotics of the Jin-Xin model in the Lp framework	3
A new quantity in Finsler geometry	3
Learning to optimize by multi-gradient for multi-objective optimization	3
Non-weight modules over the mirror Heisenberg-Virasoro algebra	3
Arnold diffusion for nearly integrable Hamiltonian systems	3
Twisted Whittaker modules over $${U_q}({\mathfrak{g}\mathfrak{l}_{n + 1}})$$	3
Maurer-Cartan characterizations and cohomologies of compatible Lie algebras	3
Non-symmetric differentially subordinate martingales and sharp weak-type bounds for Fourier multipliers	2
High-dimensional robust inference for censored linear models	2
Classification of complete 3-dimensional self-shrinkers in the Euclidean space ℝ4	2
Morrey smoothness spaces: A new approach	2
Asymptotics for the joint tail probability of bidimensional randomly weighted sums with applications to insurance	2
On the saturation number for singular cubic surfaces	2
Sifting for small primes from an arithmetic progression	2
Flexible, efficient, and accurate tests for epidemics	2
On Finsler metric measure manifolds with integral weighted Ricci curvature bounds	2
On construction of strong orthogonal arrays and column-orthogonal strong orthogonal arrays of strength two plus	2
Remarks on convexity estimates for solutions of the torsion problem	2
Inviscid limit of the Navier-Stokes equations with vortex patch data in the half-space	2
Low-dimensional quadratic relative character varieties for the projective line minus three points	2
Combinatorial optimization: From deep learning to large language models	2
A polynomial resultant approach to algebraic constructions of extremal graphs	2
Pseudoeffective thresholds and cohomology of twisted symmetric tensor fields on irreducible Hermitian symmetric spaces	2
Radial symmetry and sharp asymptotic behaviors of nonnegative solutions to weighted doubly D1,p-critical quasi-linear nonlocal elliptic equations with Hardy potential	2
The twisted conical Kähler-Ricci solitons on Fano manifolds	2
The Morse index of minimal products of minimal submanifolds in spheres	2
Quantitative Green’s function estimates for lattice quasi-periodic Schrödinger operators	2
Analysis of a class of globally divergence-free HDG methods for stationary Navier-Stokes equations	2
Stable reflexive sheaves over compact Gauduchon manifolds	2

Extreme central L-values of almost prime quadratic twists of elliptic curves	2
Bilinear forms with trace functions over arbitrary sets and applications to Sato-Tate	2
The CAP representations indexed by Hilbert cusp forms	2
Testing high-dimensional covariance structures using double-normalized observations	2
Statistical inference for the nonparametric and semiparametric hidden Markov model via the composite likelihood approach	2
Two upper bounds for the Erdős-Hooley Delta-function	2
Local L2 theory of the fractional Navier-Stokes equations and the self-similar solution	2
A GMM approach in coupling internal data and external summary information with heterogeneous data populations	2
Concentration breaking on two optimization problems	2
The moment map for the variety of associative algebras	2
Relative equivariant coarse index and relative L2-index	2
A unified pre-training and adaptation framework for combinatorial optimization on graphs	2
A geometric characterisation of real C*-algebras	2
Geometrical Toeplitz operators and Carleson embeddings over smoothly bounded convex domains of finite type in ℂn	2
An equivariant index theorem on ℝn in the context of continuous fields of C*-algebras	2
Semi-derived Ringel-Hall bialgebras	2
Maximum bound principle preserving exponential time differencing schemes for the penalized Allen-Cahn-Ohta-Kawasaki model	2
Random Turán and counting results for general position sets over finite fields	2
A characterization of socular highest weight modules and Richardson orbits of classical types	2
Formal manifolds: Foundations	2
Inverse problems for radial Schrödinger operators with the missing part of eigenvalues	2
Soliton resolution for the energy-critical wave equation with an inverse-square potential in the radial case	2
Optimal control of differential quasivariational-hemivariational inequalities with applications	2
Point defects in 2-D liquid crystals with a singular potential: Profiles and stability	2
Infinitely many dichotomous solutions for the Schrödinger-Poisson system	2
Byzantine-robust distributed support vector machine	1
Global well-posedness of the MHD boundary layer equations in the Sobolev space	1
Asymptotic expansions of complete Kähler-Einstein metrics with finite volume on quasi-projective manifolds	1
Unadjusted Langevin algorithms for SDEs with Hölder drift	1
Ideal balanced pairs in extriangulated categories	1
Limiting profiles of two-component attractive Bose-Einstein condensates passing an obstacle	1
Embedding periodic maps of surfaces into those of spheres with minimal dimensions	1
On the local convergence of a stochastic semismooth Newton method for nonsmooth nonconvex optimization	1
A stabilizer-free C0 weak Galerkin method for the biharmonic equations	1
Native spaces and generalization of Wu functions	1
Foreword	1
Positive definiteness of real quadratic forms resulting from the variable-step L1-type approximations of convolution operators	1
Classification of anti-symmetric solutions to the fractional Lane-Emden system	1
Cohomology groups of a new class of Kadison-Singer algebras	1
On the core entropy of Newton maps	1
Model-averaging-based semiparametric modeling for conditional quantile prediction	1
Estimates for stress concentration between two adjacent rigid inclusions in two-dimensional Stokes flow	1
Normalized solutions for a fourth-order Schrödinger equation with a positive second-order dispersion coefficient	1
Algebraic degrees of generalized Nash equilibrium problems	1
Besov–Triebel–Lizorkin-type spaces with matrix A∞ weights	1
Energy quantization for stationary harmonic maps into homogeneous spaces	1
Geometry of holomorphic invariant strongly pseudoconvex complex Finsler metrics on the classical domains	1
The representation type of the descent algebras of type $$\mathbb{A}$$	1
Variation operators for singular integrals and their commutators on weighted Morrey spaces and Sobolev spaces	1
The low Mach number limit of non-isentropic magnetohydrodynamic equations with large temperature variations in bounded domains	1
On unitary equivalence of compact operator tuples	1
Interpreting deep learning by establishing a rigorous corresponding relationship with the renormalization group on the Ising model	1
Bifurcation from the essential spectrum for an elliptic equation with general nonlinearities	1
Scalar curvatures in almost Hermitian geometry and some applications	1
Editorial	1
Multi-arm covariate-adaptive randomization	1
Gluing support τ-tilting modules via symmetric ladders of height 2	1
Reverse time migration for inverse acoustic scattering by locally rough surfaces	1
Uniformly strong convergence of Kähler-Ricci flows on a Fano manifold	1
Conditional dependence learning with high-dimensional conditioning variables	1
Cα regularity of weak solutions of non-homogeneous ultraparabolic equations with drift terms	1
The based rings of two-sided cells in an affine Weyl group of type $${{\tilde B}_3}$$, I	1
Trace inequalities, isocapacitary inequalities, and regularity of the complex Hessian equations	1
Some rigid results on doubly twisted product complex Finsler manifolds	1
High-order finite volume methods for solving compressible multicomponent flows	1
Optimal investment, retirement, and life insurance with consumption ratcheting and time-inhomogeneous utility	1
A q-operational equation and the Rogers-Szegő polynomials	1
Regularization by transport noises for 3D MHD equations	1
Construction and analysis of the quadratic finite volume methods on tetrahedral meshes	1
The unitary subgroups of group algebras for a class of finite 2-groups with the derived subgroup of order 2	1
On the classification of certain real rank zero C*-algebras	1
Toeplitz operators between distinct Bergman spaces	1
Jackson-type inequalities on high-dimensional spheres	1
Trigonometric multiplicative chaos and applications to random distributions	1
The openness theorems on convergence of the twisted Kähler-Ricci flows	1
NeuroPrim: An attention-based model for solving NP-hard spanning tree problems	1
Gradient-based algorithms for multi-objective bi-level optimization	1
The Lang-Trotter conjecture for the elliptic curve y2 = x3 + Dx	1
Enhancing cut selection through reinforcement learning	1
The error term in the Cohen-Lenstra heuristic via the random matrix approach	1
Conics on Barth-Bauer octics	1
Interquantile shrinkage and variable selection for longitudinal data in regression models	1
On infinite arithmetic progressions in sumsets	1
Global existence of weak solutions to the drift-flux system for general pressure laws	1
Global well-posedness for 2D inhomogeneous asymmetric fluids with large initial data	1
Phase group categories of bimodule quantum channels	1
Geodesic metrics on fractals and applications to heat kernel estimates	1
Center of the Yangian double in type A	1
The algebra of symmetric tensors on smooth projective varieties	1
On Leray’s problem in an infinitely long pipe with the Navier-slip boundary condition	1
Stochastic 3D Leray-α model with fractional dissipation	1
Almost global smooth solutions of the 3D quasilinear Klein-Gordon equations on the product space $$\mathbb{R}^{2}\times \mathbb{T}$$	1
Equivalent norms, Hardy-Littlewood-type theorems, and their applications	1
Non-weight modules over the algebra $$\cal{SW}(b)$$	1
Fourier coefficients of restrictions of eigenfunctions	1