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Monatshefte für Mathematik最新文献

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Maximal run-length function with constraints: a generalization of the Erdős–Rényi limit theorem and the exceptional sets 带约束的最大游程函数:Erdős-Rényi极限定理和例外集的推广
Monatshefte für Mathematik Pub Date : 2023-11-13 DOI: 10.1007/s00605-023-01919-x
Yu-Feng Wu
{"title":"Maximal run-length function with constraints: a generalization of the Erdős–Rényi limit theorem and the exceptional sets","authors":"Yu-Feng Wu","doi":"10.1007/s00605-023-01919-x","DOIUrl":"https://doi.org/10.1007/s00605-023-01919-x","url":null,"abstract":"","PeriodicalId":18913,"journal":{"name":"Monatshefte für Mathematik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136282570","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An existence and uniqueness result about algebras of Schwartz distributions Schwartz分布代数的一个存在唯一性结果
Monatshefte für Mathematik Pub Date : 2023-11-04 DOI: 10.1007/s00605-023-01917-z
Nuno Costa Dias, Cristina Jorge, João Nuno Prata
{"title":"An existence and uniqueness result about algebras of Schwartz distributions","authors":"Nuno Costa Dias, Cristina Jorge, João Nuno Prata","doi":"10.1007/s00605-023-01917-z","DOIUrl":"https://doi.org/10.1007/s00605-023-01917-z","url":null,"abstract":"Abstract We prove that there exists essentially one minimal differential algebra of distributions $$mathcal A$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>A</mml:mi> </mml:math> , satisfying all the properties stated in the Schwartz impossibility result [L. Schwartz, Sur l’impossibilité de la multiplication des distributions, 1954], and such that $$mathcal C_p^{infty } subseteq mathcal Asubseteq mathcal D' $$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:msubsup> <mml:mi>C</mml:mi> <mml:mi>p</mml:mi> <mml:mi>∞</mml:mi> </mml:msubsup> <mml:mo>⊆</mml:mo> <mml:mi>A</mml:mi> <mml:mo>⊆</mml:mo> <mml:msup> <mml:mi>D</mml:mi> <mml:mo>′</mml:mo> </mml:msup> </mml:mrow> </mml:math> (where $$mathcal C_p^{infty }$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:msubsup> <mml:mi>C</mml:mi> <mml:mi>p</mml:mi> <mml:mi>∞</mml:mi> </mml:msubsup> </mml:math> is the set of piecewise smooth functions and $$mathcal D'$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:msup> <mml:mi>D</mml:mi> <mml:mo>′</mml:mo> </mml:msup> </mml:math> is the set of Schwartz distributions over $$mathbb R$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>R</mml:mi> </mml:math> ). This algebra is endowed with a multiplicative product of distributions, which is a generalization of the product defined in [N.C.Dias, J.N.Prata, A multiplicative product of distributions and a class of ordinary differential equations with distributional coefficients, 2009]. If the algebra is not minimal, but satisfies the previous conditions, is closed under anti-differentiation and the dual product by smooth functions, and the distributional product is continuous at zero then it is necessarily an extension of $$mathcal A$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>A</mml:mi> </mml:math> .","PeriodicalId":18913,"journal":{"name":"Monatshefte für Mathematik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135774120","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Difference of irrationality measure functions 无理性测度函数的差异
Monatshefte für Mathematik Pub Date : 2023-11-04 DOI: 10.1007/s00605-023-01914-2
Viktoria Rudykh, Nikita Shulga
{"title":"Difference of irrationality measure functions","authors":"Viktoria Rudykh, Nikita Shulga","doi":"10.1007/s00605-023-01914-2","DOIUrl":"https://doi.org/10.1007/s00605-023-01914-2","url":null,"abstract":"","PeriodicalId":18913,"journal":{"name":"Monatshefte für Mathematik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135774674","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A two plus one dimensional continuous wavelet transform 一个二加一维连续小波变换
Monatshefte für Mathematik Pub Date : 2023-11-03 DOI: 10.1007/s00605-023-01918-y
Raja Milad, Keith F. Taylor
{"title":"A two plus one dimensional continuous wavelet transform","authors":"Raja Milad, Keith F. Taylor","doi":"10.1007/s00605-023-01918-y","DOIUrl":"https://doi.org/10.1007/s00605-023-01918-y","url":null,"abstract":"","PeriodicalId":18913,"journal":{"name":"Monatshefte für Mathematik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135818964","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The geometry of discrete asymptotic-geodesic 4-webs in isotropic 3-space 三维各向同性空间中离散渐近测地线四网的几何特性
Monatshefte für Mathematik Pub Date : 2023-11-03 DOI: 10.1007/s00605-023-01916-0
Christian Müller, Helmut Pottmann
{"title":"The geometry of discrete asymptotic-geodesic 4-webs in isotropic 3-space","authors":"Christian Müller, Helmut Pottmann","doi":"10.1007/s00605-023-01916-0","DOIUrl":"https://doi.org/10.1007/s00605-023-01916-0","url":null,"abstract":"Abstract The geometry of webs has been investigated over more than a century driven by still open problems. In our paper we contribute to extending the knowledge on webs from the perspective of the geometry of webs on surfaces in three dimensional space. Our study of AGAG-webs is motivated by architectural applications of gridshell structures where four families of manufactured curves on a curved surface are realizations of asymptotic lines and geodesic lines. We describe all discrete AGAG-webs in isotropic space and propose a method to construct them. Furthermore, we prove that some sub-nets of an AGAG-web are timelike minimal surfaces in Minkowski space and can be embedded into a one-parameter family of discrete isotropic Voss nets.","PeriodicalId":18913,"journal":{"name":"Monatshefte für Mathematik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135818196","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Comparison of symbolic and ordinary powers of parity binomial edge ideals 奇偶二项边理想的符号幂与普通幂的比较
Monatshefte für Mathematik Pub Date : 2023-11-02 DOI: 10.1007/s00605-023-01912-4
Nadia Taghipour, Shamila Bayati, Farhad Rahmati
{"title":"Comparison of symbolic and ordinary powers of parity binomial edge ideals","authors":"Nadia Taghipour, Shamila Bayati, Farhad Rahmati","doi":"10.1007/s00605-023-01912-4","DOIUrl":"https://doi.org/10.1007/s00605-023-01912-4","url":null,"abstract":"In this paper, we investigate when symbolic and ordinary powers of the parity binomial edge ideal of a graph fail to be equal. It turns out that if $${mathcal {I}}_{G}$$ is the parity binomial edge ideal of a graph G, then in each of the following cases the symbolic power $${mathcal {I}}_{G}^{(t)}$$ and the ordinary power $${mathcal {I}}_{G}^t$$ are not equal for some t: (i) the clique number of G is greater than 3; (ii) G has a net; or (iii) G has a PT as an induced subgraph.","PeriodicalId":18913,"journal":{"name":"Monatshefte für Mathematik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135933267","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Extendibility and boundedness of invariants on singularities of wavefronts 波前奇异点上不变量的可拓性和有界性
Monatshefte für Mathematik Pub Date : 2023-11-01 DOI: 10.1007/s00605-023-01911-5
T. A. Medina-Tejeda
{"title":"Extendibility and boundedness of invariants on singularities of wavefronts","authors":"T. A. Medina-Tejeda","doi":"10.1007/s00605-023-01911-5","DOIUrl":"https://doi.org/10.1007/s00605-023-01911-5","url":null,"abstract":"","PeriodicalId":18913,"journal":{"name":"Monatshefte für Mathematik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135271415","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Oscillation criterion for linear equations with coefficients containing powers of natural logarithm 系数含有自然对数幂次的线性方程的振动判据
Monatshefte für Mathematik Pub Date : 2023-10-13 DOI: 10.1007/s00605-023-01910-6
Petr Hasil, Michal Pospíšil, Jiřina Šišoláková, Michal Veselý
{"title":"Oscillation criterion for linear equations with coefficients containing powers of natural logarithm","authors":"Petr Hasil, Michal Pospíšil, Jiřina Šišoláková, Michal Veselý","doi":"10.1007/s00605-023-01910-6","DOIUrl":"https://doi.org/10.1007/s00605-023-01910-6","url":null,"abstract":"Abstract Applying an averaging technique for the adapted Prüfer angle, we obtain an oscillation criterion for linear second order differential equations whose coefficients consist of products of powers of natural logarithm and general (bounded or unbounded) continuous functions. The presented criterion is illustrated by new corollaries and examples. The novelty is caused by the used averaging technique over unbounded intervals.","PeriodicalId":18913,"journal":{"name":"Monatshefte für Mathematik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135855359","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Discrete series of odd general spin groups 奇一般自旋群的离散级数
Monatshefte für Mathematik Pub Date : 2023-10-05 DOI: 10.1007/s00605-023-01901-7
Yeansu Kim, Ivan Matić
{"title":"Discrete series of odd general spin groups","authors":"Yeansu Kim, Ivan Matić","doi":"10.1007/s00605-023-01901-7","DOIUrl":"https://doi.org/10.1007/s00605-023-01901-7","url":null,"abstract":"","PeriodicalId":18913,"journal":{"name":"Monatshefte für Mathematik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134973811","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Potency in soluble groups 可溶性基团的效价
Monatshefte für Mathematik Pub Date : 2023-10-04 DOI: 10.1007/s00605-023-01897-0
B. A. F. Wehrfritz
{"title":"Potency in soluble groups","authors":"B. A. F. Wehrfritz","doi":"10.1007/s00605-023-01897-0","DOIUrl":"https://doi.org/10.1007/s00605-023-01897-0","url":null,"abstract":"Abstract We prove in particular that if G is a soluble group with no non-trivial locally finite normal subgroups, then G is p-potent for every prime p for which G has no Prüfer p-sections. (A group G is p-potent if for every power n of p and for any element x of G of infinite order or of finite order divisible by n there is a normal subgroup N of G of finite index such that the order of x modulo N is n. A Prüfer p-group is an infinite locally cyclic p-group.) This extends to soluble groups in general, and gives a more direct proof of, recent results of Azarov on polycyclic groups and soluble minimax groups.","PeriodicalId":18913,"journal":{"name":"Monatshefte für Mathematik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135590597","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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