发布求助
文献互助 智能选刊 最新文献

Acta Mathematica Sinica-English Series最新文献

筛选
英文 中文
A Boson-fermion Realization of Highest Weight Modules over (mathfrak{g}widetilde{mathfrak{l}_{M/N}}(theta)) 最高权模的一种玻色子-费米子实现 (mathfrak{g}widetilde{mathfrak{l}_{M/N}}(theta))
IF 0.8 3区 数学
Acta Mathematica Sinica-English Series Pub Date : 2024-12-15 DOI: 10.1007/s10114-024-3583-2
Fu Lin Chen, Xin Huang, Shao Bin Tan
{"title":"A Boson-fermion Realization of Highest Weight Modules over (mathfrak{g}widetilde{mathfrak{l}_{M/N}}(theta))","authors":"Fu Lin Chen,&nbsp;Xin Huang,&nbsp;Shao Bin Tan","doi":"10.1007/s10114-024-3583-2","DOIUrl":"10.1007/s10114-024-3583-2","url":null,"abstract":"<div><p>In this paper, we construct a superfermionic representation as well as a vertex representation for twisted general linear affine Lie superalgebras. We also establish a module isomorphism between them, which generalizes the super boson-fermion correspondence of type <i>B</i> given by Kac-van de Leur. Based on this isomorphism, we determine explicitly the irreducible components of these two representations. Particularly, we obtain in this way two kinds of systematic construction of level 1 irreducible integrable highest weight modules for twisted general linear affine Lie superalgebras.</p></div>","PeriodicalId":50893,"journal":{"name":"Acta Mathematica Sinica-English Series","volume":"40 12","pages":"2879 - 2903"},"PeriodicalIF":0.8,"publicationDate":"2024-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142870350","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Life Span of Classical Solutions to Nonlinear Wave Equations with Weighted Terms in Three Space Dimensions 三维带加权项非线性波动方程经典解的寿命
IF 0.8 3区 数学
Acta Mathematica Sinica-English Series Pub Date : 2024-12-15 DOI: 10.1007/s10114-024-2600-9
Hu Sheng Wang, Fan Lü
{"title":"The Life Span of Classical Solutions to Nonlinear Wave Equations with Weighted Terms in Three Space Dimensions","authors":"Hu Sheng Wang,&nbsp;Fan Lü","doi":"10.1007/s10114-024-2600-9","DOIUrl":"10.1007/s10114-024-2600-9","url":null,"abstract":"<div><p>The paper considers the Cauchy problem with small initial values for semilinear wave equations with weighted nonlinear terms. Similar to Strauss exponent <i>p</i><sub>0</sub>(<i>n</i>) which is the positive root of the quadratic equation <span>(1+{1over 2}(n+1)p-{1over 2}(n-1)p^{2}=0)</span>, we get smaller critical exponents <i>p</i><sub><i>m</i></sub>(<i>n</i>),<i>p</i><span>\u0000 <sup>*</sup><sub><i>m</i></sub>\u0000 \u0000 </span>(<i>n</i>) and have global existence in time when <i>p</i>&gt;<i>p</i><sub><i>m</i></sub>(<i>n</i>) or <i>p</i>&gt;<i>p</i><span>\u0000 <sup>*</sup><sub><i>m</i></sub>\u0000 \u0000 </span>(<i>n</i>). In addition, for the blow-up case, the introduction of the spacial weight shows the optimality of new upper and lower bound.</p></div>","PeriodicalId":50893,"journal":{"name":"Acta Mathematica Sinica-English Series","volume":"40 12","pages":"2984 - 3002"},"PeriodicalIF":0.8,"publicationDate":"2024-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142870383","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Class of Robust Independence Tests Based on Weighted Integrals of Empirical Characteristic Functions 一类基于经验特征函数加权积分的鲁棒独立性检验
IF 0.8 3区 数学
Acta Mathematica Sinica-English Series Pub Date : 2024-12-15 DOI: 10.1007/s10114-024-2613-4
Feng Zou, Chang Liang Zou, Heng Jian Cui
{"title":"A Class of Robust Independence Tests Based on Weighted Integrals of Empirical Characteristic Functions","authors":"Feng Zou,&nbsp;Chang Liang Zou,&nbsp;Heng Jian Cui","doi":"10.1007/s10114-024-2613-4","DOIUrl":"10.1007/s10114-024-2613-4","url":null,"abstract":"<div><p>In this paper, we propose a class of robust independence tests for two random vectors based on weighted integrals of empirical characteristic functions. By letting weight functions be probability density functions of a class of special distributions, the proposed test statistics have simple closed forms and do not require moment conditions on the random vectors. Moreover, we derive the asymptotic distributions of the test statistics under the null hypothesis. The proposed testing method is computationally feasible and easy to implement. Based on a data-driven bandwidth selection method, Monte Carlo simulation studies indicate that our tests have a relatively good performance compared with the competitors. A real data example is also presented to illustrate the application of our tests.</p></div>","PeriodicalId":50893,"journal":{"name":"Acta Mathematica Sinica-English Series","volume":"40 12","pages":"2921 - 2952"},"PeriodicalIF":0.8,"publicationDate":"2024-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142870381","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On Closed Six-Manifolds Admitting Riemannian Metrics with Positive Sectional Curvature and Non-Abelian Symmetry 具有正截面曲率和非阿贝尔对称的黎曼度量的闭六流形
IF 0.8 3区 数学
Acta Mathematica Sinica-English Series Pub Date : 2024-12-15 DOI: 10.1007/s10114-024-1418-9
Yu Hang Liu
{"title":"On Closed Six-Manifolds Admitting Riemannian Metrics with Positive Sectional Curvature and Non-Abelian Symmetry","authors":"Yu Hang Liu","doi":"10.1007/s10114-024-1418-9","DOIUrl":"10.1007/s10114-024-1418-9","url":null,"abstract":"<div><p>We study the topology of closed, simply-connected, 6-dimensional Riemannian manifolds of positive sectional curvature which admit isometric actions by SU(2) or SO(3). We show that their Euler characteristic agrees with that of the known examples, i.e., <i>S</i><sup>6</sup>, <span>(mathbb{CP}^{3})</span>, the Wallach space SU(3)/<i>T</i><sup>2</sup> and the biquotient SU(3)//<i>T</i><sup>2</sup>. We also classify, up to equivariant diffeomorphism, certain actions without exceptional orbits and show that there are strong restrictions on the exceptional strata.</p></div>","PeriodicalId":50893,"journal":{"name":"Acta Mathematica Sinica-English Series","volume":"40 12","pages":"3003 - 3026"},"PeriodicalIF":0.8,"publicationDate":"2024-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142870384","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Neighbor Product Distinguishing Total Coloring of Planar Graphs without 5-cycles 无5环平面图的邻积区分全着色
IF 0.8 3区 数学
Acta Mathematica Sinica-English Series Pub Date : 2024-12-15 DOI: 10.1007/s10114-024-2622-3
Meng Ying Shi, Li Zhang
{"title":"Neighbor Product Distinguishing Total Coloring of Planar Graphs without 5-cycles","authors":"Meng Ying Shi,&nbsp;Li Zhang","doi":"10.1007/s10114-024-2622-3","DOIUrl":"10.1007/s10114-024-2622-3","url":null,"abstract":"<div><p>Given a simple graph <i>G</i> and a proper total-<i>k</i>-coloring <i>φ</i> from <i>V</i> (<i>G</i>) ∪ <i>E(G)</i> to {<i>1, 2</i>,…,<i>k</i>}. Let <i>f</i>(<i>v</i>) = <i>φ</i>(<i>v</i>)Π<sub><i>uv</i>∈<i>E(G)</i></sub><i>φ</i>(<i>uv</i>). The coloring <i>φ</i> is neighbor product distinguishing if <i>f</i>(<i>u</i>) ≠ <i>f</i>(<i>v</i>) for each edge <i>uv</i> ∈ <i>E</i>(<i>G</i>). The neighbor product distinguishing total chromatic number of <i>G</i>, denoted by <span>(chi_{Pi}^{primeprime}(G))</span>, is the smallest integer <i>k</i> such that <i>G</i> admits a <i>k</i>-neighbor product distinguishing total coloring. Li et al. conjectured that <span>(chi_{Pi}^{primeprime}(G)leq Delta(G)+3)</span> for any graph with at least two vertices. Dong et al. showed that conjecture holds for planar graphs with maximum degree at least 10. By using the famous Combinatorial Nullstellensatz, we prove that if <i>G</i> is a planar graph without 5-cycles, then <span>(chi_{Pi}^{primeprime}(G)leq max{Delta(G)+2,12})</span>.</p></div>","PeriodicalId":50893,"journal":{"name":"Acta Mathematica Sinica-English Series","volume":"40 12","pages":"2904 - 2920"},"PeriodicalIF":0.8,"publicationDate":"2024-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142870386","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Asymptotic Independence of the Quadratic Form and Maximum of Independent Random Variables with Applications to High-Dimensional Tests 二次型的渐近独立性和独立随机变量的极大值及其在高维检验中的应用
IF 0.8 3区 数学
Acta Mathematica Sinica-English Series Pub Date : 2024-12-15 DOI: 10.1007/s10114-024-2498-2
Da Chuan Chen, Long Feng, De Cai Liang
{"title":"Asymptotic Independence of the Quadratic Form and Maximum of Independent Random Variables with Applications to High-Dimensional Tests","authors":"Da Chuan Chen,&nbsp;Long Feng,&nbsp;De Cai Liang","doi":"10.1007/s10114-024-2498-2","DOIUrl":"10.1007/s10114-024-2498-2","url":null,"abstract":"<div><p>This paper establishes the asymptotic independence between the quadratic form and maximum of a sequence of independent random variables. Based on this theoretical result, we find the asymptotic joint distribution for the quadratic form and maximum, which can be applied into the high-dimensional testing problems. By combining the sum-type test and the max-type test, we propose the Fisher’s combination tests for the one-sample mean test and two-sample mean test. Under this novel general framework, several strong assumptions in existing literature have been relaxed. Monte Carlo simulation has been done which shows that our proposed tests are strongly robust to both sparse and dense data.</p></div>","PeriodicalId":50893,"journal":{"name":"Acta Mathematica Sinica-English Series","volume":"40 12","pages":"3093 - 3126"},"PeriodicalIF":0.8,"publicationDate":"2024-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142870389","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Characterizations of VMO and CMO Spaces in the Bessel Setting 贝塞尔环境下VMO和CMO空间的表征
IF 0.8 3区 数学
Acta Mathematica Sinica-English Series Pub Date : 2024-12-15 DOI: 10.1007/s10114-024-3342-4
Qing Dong Guo, Jorge J. Betancor, Dong Yong Yang
{"title":"Characterizations of VMO and CMO Spaces in the Bessel Setting","authors":"Qing Dong Guo,&nbsp;Jorge J. Betancor,&nbsp;Dong Yong Yang","doi":"10.1007/s10114-024-3342-4","DOIUrl":"10.1007/s10114-024-3342-4","url":null,"abstract":"<div><p>Let λ &gt; 0 and <span>(Delta_{lambda} := -{{d^2} over {dx^{2}}} - {{2lambda} over x} {{d} over {dx}})</span> be the Bessel operator on ℝ<sub>+</sub>:= (0, ∞). In this paper, the authors introduce and characterize the space VMO(ℝ<sub>+</sub>, <i>dm</i><sub>λ</sub>) in terms of the Hankel translation, the Hankel convolution and a John–Nirenberg inequality, and obtain a sufficient condition of Fefferman–Stein type for functions <i>f</i> ∈ VMO(ℝ<sub>+</sub>, <i>dm</i><sub>λ</sub>) using <span>({tilde R}_{{Delta}_lambda})</span>, the adjoint of the Riesz transform <span>({R}_{{Delta}_lambda})</span>. Furthermore, we obtain the characterization of CMO(ℝ<sub>+</sub>, <i>dm</i><sub>λ</sub>) in terms of the John–Nirenberg inequality which is new even for the classical CMO(ℝ<sup><i>n</i></sup>) and a sufficient condition of Fefferman–Stein type for functions <i>f</i> ∈ CMO(ℝ<sub>+</sub>, <i>dm</i><sub>λ</sub>).</p></div>","PeriodicalId":50893,"journal":{"name":"Acta Mathematica Sinica-English Series","volume":"40 12","pages":"3055 - 3078"},"PeriodicalIF":0.8,"publicationDate":"2024-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142870388","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Analysis of Heterogeneous Networks with Unknown Dependence Structure 具有未知依赖结构的异构网络分析
IF 0.8 3区 数学
Acta Mathematica Sinica-English Series Pub Date : 2024-12-15 DOI: 10.1007/s10114-024-4164-0
Fang Mei Hou, Jia Xin Liu, Shao Gao Lü, Hua Zhen Lin
{"title":"Analysis of Heterogeneous Networks with Unknown Dependence Structure","authors":"Fang Mei Hou,&nbsp;Jia Xin Liu,&nbsp;Shao Gao Lü,&nbsp;Hua Zhen Lin","doi":"10.1007/s10114-024-4164-0","DOIUrl":"10.1007/s10114-024-4164-0","url":null,"abstract":"<div><p>In multiple heterogeneous networks, developing a model that considers both individual and shared structures is crucial for improving estimation efficiency and interpretability. In this paper, we introduce a semi-parametric individual network autoregressive model. We allow autoregression and regression coefficients to vary across networks with subgroup structure, and integrate both covariates and node relationships into network dependence using a single-index structure with unknown links. To estimate all individual and commonly shared parameters and functions, we introduce a novel penalized semiparametric approach based on the generalized method of moments. Theoretically, our proposed semiparametric estimator for heterogeneous networks exhibits estimation and selection consistency under regular conditions. Numerical experiments are conducted to illustrate the effectiveness of the proposed estimator. The proposed method is applied to analyze patient distribution in hospitals to further demonstrate its utility.</p></div>","PeriodicalId":50893,"journal":{"name":"Acta Mathematica Sinica-English Series","volume":"40 12","pages":"2953 - 2983"},"PeriodicalIF":0.8,"publicationDate":"2024-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142870382","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Null Surfaces of Pseudo-spherical Spacelike Framed Curves in the Anti-de Sitter 3-space 反德西特三维空间中拟球面类空框架曲线的零曲面
IF 0.8 3区 数学
Acta Mathematica Sinica-English Series Pub Date : 2024-12-15 DOI: 10.1007/s10114-024-3369-6
O. Oǧulcan Tuncer
{"title":"Null Surfaces of Pseudo-spherical Spacelike Framed Curves in the Anti-de Sitter 3-space","authors":"O. Oǧulcan Tuncer","doi":"10.1007/s10114-024-3369-6","DOIUrl":"10.1007/s10114-024-3369-6","url":null,"abstract":"<div><p>We introduce null surfaces (or nullcone fronts) of pseudo-spherical spacelike framed curves in the three-dimensional anti-de Sitter space. These surfaces are formed by the light rays emitted from points on anti-de Sitter spacelike framed curves. We then classify singularities of the nullcone front of a pseudo-spherical spacelike framed curve and show how these singularities are related to the singularities of the associated framed curve. We also define a family of functions called the Anti-de Sitter distance-squared functions to explain the nullcone front of a pseudo-spherical spacelike framed curve as a wavefront from the viewpoint of the Legendrian singularity theory. We finally provide some examples to illustrate the results of this paper.</p></div>","PeriodicalId":50893,"journal":{"name":"Acta Mathematica Sinica-English Series","volume":"40 12","pages":"3043 - 3054"},"PeriodicalIF":0.8,"publicationDate":"2024-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142870387","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Spectral Properties and Energy of Weighted Adjacency Matrices for Graphs with Degree-based Edge-weight Functions 基于度的边权函数图的加权邻接矩阵的谱性质和能量
IF 0.8 3区 数学
Acta Mathematica Sinica-English Series Pub Date : 2024-12-15 DOI: 10.1007/s10114-024-3127-9
Xue Liang Li, Ning Yang
{"title":"Spectral Properties and Energy of Weighted Adjacency Matrices for Graphs with Degree-based Edge-weight Functions","authors":"Xue Liang Li,&nbsp;Ning Yang","doi":"10.1007/s10114-024-3127-9","DOIUrl":"10.1007/s10114-024-3127-9","url":null,"abstract":"<div><p>Let <i>G</i> be a graph and <i>d</i><sub><i>i</i></sub> denote the degree of a vertex <i>v</i><sub><i>i</i></sub> in <i>G</i>, and let <i>f</i>(<i>x,y</i>) be a real symmetric function. Then one can get an edge-weighted graph in such a way that for each edge <i>v</i><sub><i>i</i></sub><i>v</i><sub><i>j</i></sub> of <i>G</i>, the weight of <i>v</i><sub><i>i</i></sub><i>v</i><sub><i>j</i></sub> is assigned by the value <i>f</i>(<i>d</i><sub><i>i</i></sub>,<i>d</i><sub><i>j</i></sub>). Hence, we have a weighted adjacency matrix <span>(mathcal{A}_{f}(G))</span> of <i>G</i>, in which the <i>ij</i>-entry is equal to <i>f</i>(<i>d</i><sub><i>i</i></sub>,<i>d</i><sub><i>j</i></sub>) if <i>v</i><sub><i>i</i></sub><i>v</i><sub><i>j</i></sub> ∈ <i>E</i>(<i>G</i>) and 0 otherwise. This paper attempts to unify the study of spectral properties for the weighted adjacency matrix <span>(mathcal{A}_{f}(G))</span> of graphs with a degree-based edge-weight function <i>f</i>(<i>x,y</i>). Some lower and upper bounds of the largest weighted adjacency eigenvalue λ<sub>1</sub> are given, and the corresponding extremal graphs are characterized. Bounds of the energy <span>(mathcal{E}_{f}(G))</span> for the weighted adjacency matrix <span>(mathcal{A}_{f}(G))</span> are also obtained. By virtue of the unified method, this makes many earlier results become special cases of our results.</p></div>","PeriodicalId":50893,"journal":{"name":"Acta Mathematica Sinica-English Series","volume":"40 12","pages":"3027 - 3042"},"PeriodicalIF":0.8,"publicationDate":"2024-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142870390","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信