Science China-Mathematics

Article	Citations
A standard form of incompressible surfaces in 3-dimensional handlebodies	28
Modular framed vertex operator algebras and $$\mathbb{Z}[{1\over 2}]$$-forms	27
Atiyah and Todd classes of regular Lie algebroids	26
On self-affine tiles that are homeomorphic to a ball	23
Splitting of the virtual class for genus one stable quasimaps	19
The (α, β)-Eulerian polynomials and descent-Stirling statistics on permutations	19
Lp-regularity of a geometrically nonlinear system in supercritical dimensions	16
Normalized Wolfe-Powell-type local minimax method for finding multiple unstable solutions of nonlinear elliptic PDEs	15
Gorenstein projective modules over rings of Morita contexts	15
Generic singularities for 2D pressureless flows	14
Hereditary uniform property Γ	13
Mirror symmetry for special nilpotent orbit closures	13
Automorphism of prime order of a surface of general type	12
Limit theorems of the 2D stochastic Navier-Stokes equation driven by a time-periodic force and a degenerate noise	12
Second-order necessary optimality conditions for multi-objective optimal control problems on Riemannian manifolds	12
Second-order approximation of exponential random graph models	11
Tensor modules over Witt superalgebras	11
A robust Hessian-based trust region algorithm for spherical conformal parameterizations	11
On regular solutions for two-dimensional non-isentropic compressible Navier-Stokes equations with degenerate viscosities and far-field vacuum	11
Existence for VT-harmonic maps from compact manifolds with boundary	11
Vanishing dissipation limit for non-isentropic Navier-Stokes equations with shock data	10
Nearly optimal Bayesian shrinkage for high-dimensional regression	10
Ground states for quasilinear equations of N-Laplacian type with critical exponential growth and lack of compactness	10
Explicit results for ergodic properties of SDEs driven by cylindrical symmetric stable noise	10
Data-driven slicing for dimension reduction in regressions: A likelihood-ratio approach	10

Global structure of spectra of periodic non-Hermitian Jacobi operators	10
The polynomial Furstenberg joining and its applications	9
On the Rosensweig model: A linear, energy-stable, and convergent finite element method	9
Infinitely many solutions for the Nirenberg problem with the volcano-like curvature	9
Dimension of bi-degree (d, d) spline spaces with the highest order of smoothness over hierarchical T-meshes	9
On the Lagrange multiplier method to the Euler and Navier-Stokes equations on compact Riemannian manifolds	9
Regularity for minimizing sequences of some variational integrals	9
Analysis of the local discontinuous Galerkin method with generalized fluxes for one-dimensional nonlinear convection-diffusion systems	8
Local null controllability of the viscous Burgers equation on the whole line	8
Estimation and inference in ultrahigh-dimensional partially linear single-index models	8
Quasimonotone random and stochastic functional differential equations with applications	8
A neural branch-and-price for truck scheduling in cross-docks	8
Asymptotic false discovery control of the Benjamini-Hochberg procedure for pairwise comparisons	7
On Seidel representation in quantum K-theory of Grassmannians	7
Long-wave instabilities	7
Dimension types of invariance entropies for uncertain control systems	7
Nearly optimal stochastic approximation for online principal subspace estimation	7
Global existence of large strong solutions to the 3D barotropic compressible Navier-Stokes equations with density-dependent viscosities	7
Boundary regularity for mean curvature flows of higher codimension	7
On asymptotic stability of the 3D Boussinesq equations without heat conduction	7
Virtual homological eigenvalues and the Weil-Petersson translation length	6
An adaptive-to-model distributed hybrid test for conditional independence	6
Sobolev embeddings in infinite dimensions	6
Carleman estimates for second-order elliptic operators with limiting weights: An elementary approach	6
Distribution/correlation-free test for two-sample means in high-dimensional functional data with eigenvalue decay relaxed	6
Spectral flow, Llarull’s rigidity theorem in odd dimensions and its generalization	6
The nondegeneracy of positive bubble solutions for generalized energy-critical Hartree equations	6
On the acyclic quantum cluster algebras with principal coefficients	6
A geometric characterization of planar Sobolev extension domains	6
Hölder continuous weak solutions of the 2D Boussinesq equation with thermal diffusion	6
Generating non-jumps from a known one	6
Optimal subsampling for principal component analysis	6
Alleviating limit cycling in training GANs with an optimization technique	6
Takens theorem for nonautonomous partially hyperbolic dynamical systems	5
The product of linear forms over function fields	5
Some critical fractional Hartree equations: Nondegeneracy of the positive solutions and its applications	5
On the inviscid limit of the compressible Navier-Stokes equations near Onsager’s regularity in bounded domains	5
Bubbling solutions of fourth order mean field equations on $\mathbb{S}^{4}$	5
Spectral decimation for a graph-directed fractal pair	5
Convergence in natural parametrization of random walk frontier	5
Collapsed manifolds with local Ricci bounded covering geometry	5
ACC for generalized log canonical thresholds for complex analytic spaces	5
Normalized solutions to the Chern-Simons-Schrödinger system under the nonlinear combined effect	5
Compatibility of weak approximation for zero-cycles on products of varieties	5
Time-inconsistent stochastic linear-quadratic control problem with indefinite control weight costs	5
Global classical solutions for 3D compressible magneto-micropolar fluids without resistivity and spin viscosity in a strip domain	5
Triples of almost primes	5
High-dimensional large-scale mixed-type data imputation under missing at random	4
Hyperbolicity of generic hypersurface in ℙn+1 of degree at least 49n2	4
Semi-derived Ringel-Hall algebras and Hall algebras of odd-periodic relative derived categories	4

Nonlinear stability of a composite wave pattern for non-isentropic compressible Navier-Stokes-Poisson equations with large initial perturbations	4
The 3-decomposition conjecture of cubic graphs	4
An oscillation-free Hermite WENO scheme for hyperbolic conservation laws	4
Deforming submanifolds of arbitrary codimension in a sphere	4
Zero viscosity limit of steady compressible shear flows with Navier-slip boundary conditions	4
Concavity property of minimal L2 integrals with Lebesgue measurable gain VI: Fibrations over products of open Riemann surfaces	4
Rankin-Selberg convolutions for GL(n)×GL(n) and GL(n)×GL(n−1) for principal series representations	4
Orbital stability of two-component peakons	4
Bubbling analysis for extrinsic biharmonic maps from general Riemannian 4-manifolds	4
A weighted Reilly formula for differential forms and sharp Steklov eigenvalue estimates	4
Global smooth solutions of 2D quasilinear wave equations with higher-order null conditions and short pulse initial data	4
The stable Auslander-Reiten components of certain monomorphism categories	4
Generation of sutured manifolds	4
Quantum convolution inequalities on Frobenius von Neumann algebras	4
On Halmos’ third problem on Banach spaces	4
Nitsche-XFEM for a time fractional diffusion interface problem	4
Nonconforming finite element Stokes complexes in three dimensions	4
A priori estimates versus arbitrarily large solutions for fractional semi-linear elliptic equations with critical Sobolev exponent	4
VNM utility and risk aversion tendency with multiple commodities: A theoretical study	4
Sharp bilinear decomposition for products of both anisotropic Hardy spaces and their dual spaces with its applications to endpoint boundedness of commutators	4
A novel maximum bound principle-preserving fully discrete Crank-Nicolson invariant energy quadratization-finite difference scheme for the Allen-Cahn equation	3
Long-time asymptotic behavior for the nonlocal nonlinear Schrödinger equation in the solitonic region	3
Normalization of independent random variables with mean uncertainty and its application to the central limit theorem under sublinear expectations	3
Normalized solutions for Schrödinger equations with the gauge field and mixed dispersion	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
A class of Hessian quotient equations in warped product manifolds	3
On a generalized homogeneous Hahn polynomial	3
Global regularity and incompressible limit of 2D compressible Navier-Stokes equations with large bulk viscosity	3
Gaussian limit for determinantal point processes with J-Hermitian kernels	3
Torsion-free abelian groups are faithfully Borel complete and pure embeddability is a complete analytic quasi-order	3
Strong relaxation limit and uniform time asymptotics of the Jin-Xin model in the Lp framework	3
Numerical analysis of a Neumann boundary control problem with a stochastic parabolic equation	3
Learning to select the recombination operator for derivative-free optimization	3
A new quantity in Finsler geometry	3
On an unconditional GL3 analog of Selberg’s result	3
Multiplicative forms on Poisson groupoids	3
The lowest upper bound on the number of zeros of a class of hyperelliptic Abelian integrals	3
The symmetric space, strong isotropy irreducibility and equigeodesic properties	3
Twisted Whittaker modules over $${U_q}({\mathfrak{g}\mathfrak{l}_{n + 1}})$$	3
On Jiang’s bounded index property for products with nilmanifolds	3
A general mirror equivalence theorem for coset vertex operator algebras	3
The positive energy conjecture for a class of AHM metrics on $${\mathbb{R}^2} \times {\mathbb{T}^{n - 2}}$$	3
Growth of generalized Weyl algebras over polynomial algebras and Laurent polynomial algebras	3
Uniqueness of the Reissner-Nordström metric near the null infinity	3
On the maximal and minimal degree components of the cocenter of the cyclotomic KLR algebra	3
Boundedness and stability of a 2-D parabolic-elliptic system arising in biological transport networks	3
Direct and inverse time-harmonic scattering by Dirichlet periodic curves with local perturbations	3
Splitting positive sets	3
The sum of Hamiltonian manifolds	3
Three-parameter approximations of sums of locally dependent random variables via Stein’s method	3
Learning to optimize by multi-gradient for multi-objective optimization	3
Arnold diffusion for nearly integrable Hamiltonian systems	3
Operators with the Lipschitz bounded approximation property	3
On the maximin distance properties of orthogonal designs via the rotation	3
Heterogeneous change-point logistic regression for binary school mental-health alerts	3
A GMM approach in coupling internal data and external summary information with heterogeneous data populations	2
Morrey smoothness spaces: A new approach	2
Sifting for small primes from an arithmetic progression	2
Formalization of algorithms for optimization with block structures	2
Inviscid limit of the Navier-Stokes equations with vortex patch data in the half-space	2
On the stability of shear flows of Prandtl type for the steady Navier-Stokes equations	2
A new perturbation to a critical elliptic problem with a variable exponent	2
On the saturation number for singular cubic surfaces	2
Nadel-type multiplier ideal sheaves on complex spaces with singularities	2
Point defects in 2-D liquid crystals with a singular potential: Profiles and stability	2
$${\bar \partial}$$ Sobolev-type inequality and an improved L2-estimate of $${\bar \partial}$$ on bounded strictly pseudoconvex domains	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
Extreme central L-values of almost prime quadratic twists of elliptic curves	2
Flexible, efficient, and accurate tests for epidemics	2
Non-symmetric differentially subordinate martingales and sharp weak-type bounds for Fourier multipliers	2
Quantitative Green’s function estimates for lattice quasi-periodic Schrödinger operators	2
The twisted conical Kähler-Ricci solitons on Fano manifolds	2
Soliton resolution for the energy-critical wave equation with an inverse-square potential in the radial case	2
The Kramers-Fokker-Planck equation with a decaying potential in ℝn, n ⩾ 4	2
On the birational invariance of balanced hyperbolic manifolds	2
Phase transitions for unique codings of fat Sierpinski gaskets	2
Combinatorial optimization: From deep learning to large language models	2
Maurer-Cartan characterizations and cohomologies of compatible Lie algebras	2
Analysis of a class of globally divergence-free HDG methods for stationary Navier-Stokes equations	2

New structures for colored HOMFLY-PT invariants	2
Geometrical Toeplitz operators and Carleson embeddings over smoothly bounded convex domains of finite type in ℂn	2
Regularity estimates for the non-cutoff soft potential Boltzmann equation with typical rough and slowly decaying data	2
Classification of complete 3-dimensional self-shrinkers in the Euclidean space ℝ4	2
An equivariant index theorem on ℝn in the context of continuous fields of C*-algebras	2
3-dimensional complete vacuum static spaces	2
The Morse index of minimal products of minimal submanifolds in spheres	2
Infinitely many dichotomous solutions for the Schrödinger-Poisson system	2
On symplectic automorphisms of elliptic surfaces acting on CH0	2
Formal manifolds: Foundations	2
A Hilbert-Schmidt integral operator and the Weil distribution	2
Two upper bounds for the Erdős-Hooley Delta-function	2
Optimal pivot path of the simplex method for linear programming based on reinforcement learning	2
Asymptotics for the joint tail probability of bidimensional randomly weighted sums with applications to insurance	2
A new class of generalized quasi-variational inequalities with applications to Oseen problems under nonsmooth boundary conditions	2
Superconnections and an intrinsic Gauss-Bonnet-Chern formula for Finsler manifolds	2
Stable reflexive sheaves over compact Gauduchon manifolds	2
A remarkable class of elliptic surfaces of amplitude 1 in weighted projective spaces	2
Pseudoeffective thresholds and cohomology of twisted symmetric tensor fields on irreducible Hermitian symmetric spaces	2
The moment map for the variety of associative algebras	2
Optimal control of differential quasivariational-hemivariational inequalities with applications	2
A polynomial resultant approach to algebraic constructions of extremal graphs	2
Concentration breaking on two optimization problems	2
Semi-derived Ringel-Hall bialgebras	2
A geometric characterisation of real C*-algebras	2
A unified pre-training and adaptation framework for combinatorial optimization on graphs	2