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《Acta Mathematica Sinica,English Series》: 作品数：4142被引量：5209H指数：23; 导出分析报告; 主办单位：The Institute of Mathematics; Academy of Mathematics and Systems Science;Chinese Academy of Sciences; 最新期次：2025年3期更多>>; 发文主题：MATHEMATICAACTASINICATHEOREMTYPE更多>>; 发文领域：理学自动化与计算机技术文化科学电子电信更多>>; 发文基金：国家自然科学基金国家教育部博士点基金国家重点基础研究发展计划中国博士后科学基金更多>>

Different Hearts on Elliptic Curves: 《Acta Mathematica Sinica,English Series》2025年第3期847-853,共7页Yucheng Liu; The classical Mumford stability condition of vector bundles on a complex elliptic curve X, can be viewed as a Bridgeland stability condition on D^(b) (Coh X), the bounded derived category of coherent sheaves on X. Thi...; 关键词：Bridgeland stability conditions elliptic curves continued fractions

Finite Element Method Resolution and Error Estimators for p-Laplacian Problem with a New Boundary Condition: 《Acta Mathematica Sinica,English Series》2025年第3期854-872,共19页Omar El Moutea Hassan El Amri; In this article,we discuss the approach to solving a nonlinear PDE equation,specifically the p-Laplacian equation,with a general(nonlinear)boundary condition.We establish the existence and uniqueness of the solution,s...; 关键词：A posteriori error indicators general boundary condition Finite Element Method(FEM) p-Laplacian equation quasi-norms IFISS Software

Stochastic Differential Games of Mean-Field Dynamics and Second-Order Bellman–Isaacs Equations on the Wasserstein Space: 《Acta Mathematica Sinica,English Series》2025年第3期873-907,共35页Tao Hao Jie Xiong; supported by Natural Science Foundation of Shandong Province(Grant Nos.ZR2020MA032,ZR2022MA029);National Natural Science Foundation of China(Grant Nos.12171279,72171133);The second named author was supported by National Key R&D Program of China(Grant No.2022YFA1006102);National Natural Science Foundation of China(Grant No.11831010)。; This paper concerns two-player zero-sum stochastic differential games with nonanticipative strategies against closed-loop controls in the case where the coefficients of mean-field stochastic differential equations and...; 关键词：Stochastic differential game Wasserstein space viscosity solution dynamic programming principle mean-field stochastic differential equation Riccati equation

Additively Indecomposable Positive Definite Integral Lattices: 《Acta Mathematica Sinica,English Series》2025年第3期908-924,共17页Ruiqing Wang; In this paper, we obtain some sufficient and necessary conditions for indecomposable positive definite integral lattices with discriminants 2, 3, 4 and 5 over Z being additively indecomposable lattices. Using these re...; 关键词：Indecomposable lattice additively indecomposable lattice unimodular lattice adjacent lattice GENUS

Sharp Morrey Regularity for an Even Order Elliptic System: 《Acta Mathematica Sinica,English Series》2025年第3期925-937,共13页Changyu Guo Wenjuan Qi; Supported by the Young Scientist Program of the Ministry of Science and Technology of China(Grant No.2021Y-FA1002200);the National Natural Science Foundation of China(Grant No.12101362);the Tai-Shan Scholar Program and the Natural Science Foundation of Shandong Province(Grant Nos.ZR2022YQ01,ZR2021QA003)。; In this short note,we establish a sharp Morrey regularity theory for an even order elliptic system of Rivière type:△^(m)u=∑_(t=0)^(m-1)△^(l)+∑_(t=0)^(m-2)△^(l)δ(ω_(l)du)+f in B^(2m)under minimal regular...; 关键词：Even order elliptic system regularity theory Morrey space decay estimates Riesz potential theory

Tangent Measures of Homogeneous Cantor Sets Satisfying the Strong Separation Condition: 《Acta Mathematica Sinica,English Series》2025年第3期938-974,共37页Xiangyu Liang Yongtao Wang; Supported by the National Natural Science Foundation of China(Grant Nos.11871090 and 12271018)。; This paper investigates tangent measures in the sense of Preiss for homogeneous Cantor sets on R^(d)generated by specific iterated function systems that satisfy the strong separation condition.Through the dynamics of...; 关键词：Homogeneous Cantor sets tangent measures limit models

Finite Solvable Groups Whose Prime Graphs have Diameter 3: 《Acta Mathematica Sinica,English Series》2025年第3期975-984,共10页Guohua Qian; Supported by the NSF of China(No.12171058);the NSF of Jiangsu Province(No.BK20231356)。; Let G be a finite group andπ(G)be the set of prime divisors of∣G∣.The prime graphΓ(G)of G is the graph with vertex setπ(G),and different p,q∈π(G)are joined by an edge if and only if G has an element of order pq...; 关键词：Solvable group prime graph Frobenius group 2-Frobenius group

Relative Auslander Bijection in Extriangulated Categories: 《Acta Mathematica Sinica,English Series》2025年第3期985-1014,共30页Tiwei Zhao; Supported by NSFC(Grant No.11901341);Shandong Provincial Natural Science Foundation(Grant No.ZR2021QA001);Youth Innovation Team of Universities of Shandong Province(Grant No.2022KJ314)。; Extriangulated categories were introduced by Nakaoka and Palu, which unify exact categories and extension-closed subcategories of triangulated categories. In this paper, we develop the relative homology aspect of Ausl...; 关键词：Extriangulated category generalized ARS-duality restricted Auslander bijection Auslander’s defect formula

《Acta Mathematica Sinica,English Series》Editorial Board: 《Acta Mathematica Sinica,English Series》2025年第3期F0002-F0002,共1页

Strassen’s Law of the Iterated Logarithm under Sub-linear Expectations: 《Acta Mathematica Sinica,English Series》2025年第3期827-846,共20页Wangyun Gu Lixin Zhang; Supported by grants from the NSF of China(Grant Nos.2024YFA101350,U23A2064 and 12031005)。; We establish the Strassen's law of the iterated logarithm(LIL for short)for independent and identically distributed random variables with E[X_(1)]=ε[X_(1)]=0 and Cv[X_(1)^(2)]<∞ under a sublinear expectation space w...; 关键词：Sub-linear expectation capacity Strassen’s law of the iterated logarithm

《Acta Mathematica Sinica,English Series》