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
Biderivations of Hom-Lie Algebras and Superalgebras 同列代数和超代数的双衍生
IF 0.8 3区 数学
Acta Mathematica Sinica-English Series Pub Date : 2024-05-31 DOI: 10.1007/s10114-024-2121-6
La Mei Yuan, Jia Xin Li
{"title":"Biderivations of Hom-Lie Algebras and Superalgebras","authors":"La Mei Yuan,&nbsp;Jia Xin Li","doi":"10.1007/s10114-024-2121-6","DOIUrl":"10.1007/s10114-024-2121-6","url":null,"abstract":"<div><p>On Hom-Lie algebras and superalgebras, we introduce the notions of biderivations and linear commuting maps, and compute them for some typical Hom-Lie algebras and superalgebras, including the <i>q</i>-deformed <i>W</i>(2,2) algebra, the <i>q</i>-deformed Witt algebra and superalgebra.</p></div>","PeriodicalId":50893,"journal":{"name":"Acta Mathematica Sinica-English Series","volume":"40 10","pages":"2337 - 2358"},"PeriodicalIF":0.8,"publicationDate":"2024-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141194462","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
Noise Effect on the 2D Stochastic Burgers Equation 噪声对二维随机布尔格斯方程的影响
IF 0.8 3区 数学
Acta Mathematica Sinica-English Series Pub Date : 2024-05-31 DOI: 10.1007/s10114-024-3079-0
Zhao Dong, Jiang Lun Wu, Guo Li Zhou
{"title":"Noise Effect on the 2D Stochastic Burgers Equation","authors":"Zhao Dong,&nbsp;Jiang Lun Wu,&nbsp;Guo Li Zhou","doi":"10.1007/s10114-024-3079-0","DOIUrl":"10.1007/s10114-024-3079-0","url":null,"abstract":"<div><p>By comprehensive utilizing of the geometry structure of 2D Burgers equation and the stochastic noise, we find the decay properties of the solution to the stochastic 2D Burgers equation with Dirichlet boundary conditions. Consequently, the expected ergodicity for this turbulence model is established.</p></div>","PeriodicalId":50893,"journal":{"name":"Acta Mathematica Sinica-English Series","volume":"40 9","pages":"2065 - 2090"},"PeriodicalIF":0.8,"publicationDate":"2024-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141194278","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
Deformation of Rigid Conjugate Self-dual Galois Representations 刚性共轭自偶伽罗瓦表示的变形
IF 0.8 3区 数学
Acta Mathematica Sinica-English Series Pub Date : 2024-05-31 DOI: 10.1007/s10114-024-1409-x
Yi Feng Liu, Yi Chao Tian, Liang Xiao, Wei Zhang, Xin Wen Zhu
{"title":"Deformation of Rigid Conjugate Self-dual Galois Representations","authors":"Yi Feng Liu,&nbsp;Yi Chao Tian,&nbsp;Liang Xiao,&nbsp;Wei Zhang,&nbsp;Xin Wen Zhu","doi":"10.1007/s10114-024-1409-x","DOIUrl":"10.1007/s10114-024-1409-x","url":null,"abstract":"<div><p>In this article, we study deformations of conjugate self-dual Galois representations. The study is twofold. First, we prove an R=T type theorem for a conjugate self-dual Galois representation with coefficients in a finite field, satisfying a certain property called rigid. Second, we study the rigidity property for the family of residue Galois representations attached to a symmetric power of an elliptic curve, as well as to a regular algebraic conjugate self-dual cuspidal representation.</p></div>","PeriodicalId":50893,"journal":{"name":"Acta Mathematica Sinica-English Series","volume":"40 7","pages":"1599 - 1644"},"PeriodicalIF":0.8,"publicationDate":"2024-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141194345","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 Essential 2-rank for Classical Groups 经典群的基本 2 级
IF 0.8 3区 数学
Acta Mathematica Sinica-English Series Pub Date : 2024-05-31 DOI: 10.1007/s10114-024-1494-x
Jian Bei An, Yong Xu
{"title":"The Essential 2-rank for Classical Groups","authors":"Jian Bei An,&nbsp;Yong Xu","doi":"10.1007/s10114-024-1494-x","DOIUrl":"10.1007/s10114-024-1494-x","url":null,"abstract":"<div><p>Let <i>G</i> be a symplectic or orthogonal group defined over a finite field with odd characteristic and let <i>D</i> ≤ <i>G</i> be a Sylow 2-subgroup. In this paper, we classify the essential 2-subgroups and determine the essential 2-rank of the Frobenius category <i>ℱ</i><sub><i>D</i></sub>(<i>G</i>). Together with the results of An-Dietrich and Cao–An–Zeng, this completes the work of essential subgroups and essential ranks of classical groups.</p></div>","PeriodicalId":50893,"journal":{"name":"Acta Mathematica Sinica-English Series","volume":"40 9","pages":"2169 - 2186"},"PeriodicalIF":0.8,"publicationDate":"2024-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141194367","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 Weighted Flow related to a Trudinger-Moser Functional on Closed Riemann Surface 封闭黎曼面上与特鲁丁格-莫泽函数相关的加权流
IF 0.8 3区 数学
Acta Mathematica Sinica-English Series Pub Date : 2024-05-20 DOI: 10.1007/s10114-024-2447-0
Peng Xiu Yu
{"title":"A Weighted Flow related to a Trudinger-Moser Functional on Closed Riemann Surface","authors":"Peng Xiu Yu","doi":"10.1007/s10114-024-2447-0","DOIUrl":"10.1007/s10114-024-2447-0","url":null,"abstract":"<div><p>In this paper, with (Σ, <i>g</i>) being a closed Riemann surface, we analyze the possible concentration behavior of a heat flow related to the Trudinger-Moser energy. We obtain a long time existence for the flow. And along some sequence of times <i>t</i><sub><i>k</i></sub> → + ∞, we can deduce the convergence of the flow in <i>H</i><sup>2</sup>(Σ). Furthermore, the limit function is a critical point of the Trudinger-Moser functional under certain constraint.</p></div>","PeriodicalId":50893,"journal":{"name":"Acta Mathematica Sinica-English Series","volume":"40 9","pages":"2244 - 2262"},"PeriodicalIF":0.8,"publicationDate":"2024-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141122001","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 the Monge-Kantorovich Mass Transfer Problem in Higher Dimensions 论更高维度的蒙日-康托洛维奇传质问题
IF 0.8 3区 数学
Acta Mathematica Sinica-English Series Pub Date : 2024-05-20 DOI: 10.1007/s10114-024-2628-x
Xiao Jun Lu
{"title":"On the Monge-Kantorovich Mass Transfer Problem in Higher Dimensions","authors":"Xiao Jun Lu","doi":"10.1007/s10114-024-2628-x","DOIUrl":"10.1007/s10114-024-2628-x","url":null,"abstract":"<div><p>This paper mainly investigates the approximation of a global maximizer of the Monge-Kantorovich mass transfer problem in higher dimensions through the approach of nonlinear partial differential equations with Dirichlet boundary. Using an approximation mechanism, the primal maximization problem can be transformed into a sequence of minimization problems. By applying the systematic canonical duality theory, one is able to derive a sequence of analytic solutions for the minimization problems. In the final analysis, the convergence of the sequence to an analytical global maximizer of the primal Monge-Kantorovich problem will be demonstrated.</p></div>","PeriodicalId":50893,"journal":{"name":"Acta Mathematica Sinica-English Series","volume":"40 8","pages":"1989 - 2004"},"PeriodicalIF":0.8,"publicationDate":"2024-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141123395","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 Orthogonal Bases of Exponential Functions Based on Moran-Sierpinski Measures 基于 Moran-Sierpinski 测量的指数函数正交基
IF 0.8 3区 数学
Acta Mathematica Sinica-English Series Pub Date : 2024-05-20 DOI: 10.1007/s10114-024-2604-5
Qi Rong Deng, Xing Gang He, Ming Tian Li, Yuan Ling Ye
{"title":"The Orthogonal Bases of Exponential Functions Based on Moran-Sierpinski Measures","authors":"Qi Rong Deng,&nbsp;Xing Gang He,&nbsp;Ming Tian Li,&nbsp;Yuan Ling Ye","doi":"10.1007/s10114-024-2604-5","DOIUrl":"10.1007/s10114-024-2604-5","url":null,"abstract":"<div><p>Let <i>A</i><sub><i>n</i></sub> ∈ <i>M</i><sub>2</sub> (ℤ) be integral matrices such that the infinite convolution of Dirac measures with equal weights</p><div><div><span>$$mu_{{A_{n},ngeq1}}:=delta_{A_{1}^{-1}cal{D}}astdelta_{A_{1}^{-1}A_{2}^{-2}cal{D}}astcdots$$</span></div></div><p> is a probability measure with compact support, where <span>(cal{D}={(0,0)^{t},(1,0)^{t},(0,1)^{t}})</span> is the Sierpinski digit. We prove that there exists a set Λ ⊂ ℝ<sup>2</sup> such that the family {e<sup>2<i>π</i>i〈λ,<i>x</i>〉</sup>: λ ∈ Λ} is an orthonormal basis of <span>(L^{2}(mu_{{A_{n},ngeq1}}))</span> if and only if <span>({1over{3}}(1,-1)A_{n}inmathbb{Z}^{2})</span> for <i>n</i> ≥ 2 under some metric conditions on <i>A</i><sub><i>n</i></sub>.</p></div>","PeriodicalId":50893,"journal":{"name":"Acta Mathematica Sinica-English Series","volume":"40 7","pages":"1804 - 1824"},"PeriodicalIF":0.8,"publicationDate":"2024-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141119794","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
Products of Commutator Ideals of Some Lie-admissible Algebras 某些可容许列代数的换元顶点的乘积
IF 0.8 3区 数学
Acta Mathematica Sinica-English Series Pub Date : 2024-05-20 DOI: 10.1007/s10114-024-2178-2
Ivan Kaygorodov, Farukh Mashurov, Tran Giang Nam, Ze Rui Zhang
{"title":"Products of Commutator Ideals of Some Lie-admissible Algebras","authors":"Ivan Kaygorodov,&nbsp;Farukh Mashurov,&nbsp;Tran Giang Nam,&nbsp;Ze Rui Zhang","doi":"10.1007/s10114-024-2178-2","DOIUrl":"10.1007/s10114-024-2178-2","url":null,"abstract":"<div><p>In this article, we mainly study the products of commutator ideals of Lie-admissible algebras such as Novikov algebras, bicommutative algebras, and assosymmetric algebras. More precisely, we first study the properties of the lower central chains for Novikov algebras and bicommutative algebras. Then we show that for every Lie nilpotent Novikov algebra or Lie nilpotent bicommutative algebra <span>(cal{A})</span>,the ideal of <span>(cal{A})</span> generated by the set <span>({ab-ba vert a,bincal{A}})</span> is nilpotent. Finally, we study properties of the lower central chains for assosymmetric algebras, study the products of commutator ideals of assosymmetric algebras and show that the products of commutator ideals have a similar property as that for associative algebras.</p></div>","PeriodicalId":50893,"journal":{"name":"Acta Mathematica Sinica-English Series","volume":"40 8","pages":"1875 - 1892"},"PeriodicalIF":0.8,"publicationDate":"2024-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141122971","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 Cheeger-Müller Theorem for Delocalized L2-analytic Torsion Form 失焦 L2- 分析扭转形式的 Cheeger-Müller 定理
IF 0.8 3区 数学
Acta Mathematica Sinica-English Series Pub Date : 2024-05-20 DOI: 10.1007/s10114-024-2287-y
Guo Lin An
{"title":"A Cheeger-Müller Theorem for Delocalized L2-analytic Torsion Form","authors":"Guo Lin An","doi":"10.1007/s10114-024-2287-y","DOIUrl":"10.1007/s10114-024-2287-y","url":null,"abstract":"<div><p>In this paper we define the delocalized <i>L</i><sup>2</sup>-analytic torsion form and the delocalized <i>L</i><sup>2</sup>-combinatorial torsion form. By using the method of Bismut-Goette, under the conditions of positive Novikov-Shubin invariants, nontrivial finite conjugacy class and the existence of a family of fiberwise Morse functions whose gradient fields satisfy the Thom-Smale transversality condition in every fiber, we prove the Cheeger-Müller type relation between the delocalized <i>L</i><sup>2</sup>-analytic torsion form and the delocalized <i>L</i><sup>2</sup>-combinatorial torsion form.</p></div>","PeriodicalId":50893,"journal":{"name":"Acta Mathematica Sinica-English Series","volume":"40 11","pages":"2615 - 2670"},"PeriodicalIF":0.8,"publicationDate":"2024-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141120198","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
An Example of Embedded Singular Continuous Spectrum for Discrete Schrödinger Operators 离散薛定谔算子的嵌入式奇异连续谱实例
IF 0.8 3区 数学
Acta Mathematica Sinica-English Series Pub Date : 2024-05-20 DOI: 10.1007/s10114-024-2574-7
Zheng Qi Fu, Xiong Li
{"title":"An Example of Embedded Singular Continuous Spectrum for Discrete Schrödinger Operators","authors":"Zheng Qi Fu,&nbsp;Xiong Li","doi":"10.1007/s10114-024-2574-7","DOIUrl":"10.1007/s10114-024-2574-7","url":null,"abstract":"<div><p>We present an example of a potential such that the corresponding discrete Schrödinger operator has singular continuous spectrum embedded in the absolutely continuous spectrum.</p></div>","PeriodicalId":50893,"journal":{"name":"Acta Mathematica Sinica-English Series","volume":"40 8","pages":"1837 - 1849"},"PeriodicalIF":0.8,"publicationDate":"2024-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141118812","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
首页 上一页 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