Mediterranean Journal of Mathematics最新文献

Quasi-periodic Solutions for the Navier–Stokes Equation on Irrational Tori 纳维-斯托克斯方程在无理环上的准周期解

IF 1.1 3区数学

Mediterranean Journal of Mathematics Pub Date : 2024-09-16 DOI: 10.1007/s00009-024-02727-9

Shangling Song

引用次数: 0

On Conformal Bi-slant Riemannian Submersions from Locally Product Riemannian Manifolds 论来自局部积黎曼曼曼积分的共形双斜黎曼潜影

IF 1.1 3区数学

Mediterranean Journal of Mathematics Pub Date : 2024-09-09 DOI: 10.1007/s00009-024-02726-w

Towseef Ali Wani, Mehraj Ahmad Lone

引用次数: 0

On Saphar’s Approximation Property of Order p and the $$w_p$$ -Approximation Property 关于 p 阶的萨法尔近似性质和 $$w_p$$ - 近似性质

IF 1.1 3区数学

Mediterranean Journal of Mathematics Pub Date : 2024-09-09 DOI: 10.1007/s00009-024-02725-x

Ju Myung Kim

引用次数: 0

Extensions of Braid Group Representations to the Monoid of Singular Braids 辫状群表示对奇异辫状单体的扩展

IF 1.1 3区数学

Mediterranean Journal of Mathematics Pub Date : 2024-09-04 DOI: 10.1007/s00009-024-02718-w

Valeriy G. Bardakov, Nafaa Chbili, Tatyana A. Kozlovskaya

{"title":"Extensions of Braid Group Representations to the Monoid of Singular Braids","authors":"Valeriy G. Bardakov, Nafaa Chbili, Tatyana A. Kozlovskaya","doi":"10.1007/s00009-024-02718-w","DOIUrl":"https://doi.org/10.1007/s00009-024-02718-w","url":null,"abstract":"Given a representation (varphi :B_n rightarrow G_n) of the braid group (B_n), (n ge 2) into a group (G_n), we are considering the problem of whether it is possible to extend this representation to a representation (Phi :SM_n rightarrow A_n), where (SM_n) is the singular braid monoid and (A_n) is an associative algebra, in which the group of units contains (G_n). We also investigate the possibility of extending the representation (Phi :SM_n rightarrow A_n) to a representation (widetilde{Phi } :SB_n rightarrow A_n) of the singular braid group (SB_n). On the other hand, given two linear representations (varphi _1, varphi _2 :H rightarrow GL_m(Bbbk )) of a group H into a general linear group over a field (Bbbk ), we define the defect of one of these representations with respect to the other. Furthermore, we construct a linear representation of (SB_n) which is an extension of the Lawrence–Krammer–Bigelow representation (LKBR) and compute the defect of this extension with respect to the exterior product of two extensions of the Burau representation. Finally, we discuss how to derive an invariant of classical links from the Lawrence–Krammer–Bigelow representation.","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142195230","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 a Class of Problems Related to Financial Mathematics 论与金融数学有关的一类问题

IF 1.1 3区数学

Mediterranean Journal of Mathematics Pub Date : 2024-09-04 DOI: 10.1007/s00009-024-02723-z

Gisèle Ruiz Goldstein, Jerome A. Goldstein, Silvia Romanelli

引用次数: 0

Iterative Mathematical Models Based on Curves and Applications to Coastal Profiles 基于曲线的迭代数学模型及其在海岸剖面中的应用

IF 1.1 3区数学

Mediterranean Journal of Mathematics Pub Date : 2024-08-29 DOI: 10.1007/s00009-024-02711-3

Fabio Caldarola, Manuela Carini, Mario Maiolo, Maria Anastasia Papaleo

{"title":"Iterative Mathematical Models Based on Curves and Applications to Coastal Profiles","authors":"Fabio Caldarola, Manuela Carini, Mario Maiolo, Maria Anastasia Papaleo","doi":"10.1007/s00009-024-02711-3","DOIUrl":"https://doi.org/10.1007/s00009-024-02711-3","url":null,"abstract":"The objective of this study is iterative systems based on general types of curves, not only on circumference arcs. We begin by presenting some implementations and generalizations of constructions based on arcs of circumference. Then we consider constructions based on general curves and give a “universal property” relating to the primary construction that exploits arcs of circumference. With the prospect of applying these theoretical models also to coastal geomorphology in the future, and inspired by one of the best-known models on the subject, the logarithmic spiral one for the so-called headland-bay beaches (HBBs), we study geometrically some cases in which the constructions are based on arcs of the golden spiral. Simultaneously we concretely illustrate and explain the universal property above. Finally we dedicate a section to discuss the possibility of how to numerically evaluate and compare the (infinite) lengths originating from our theoretical geometric constructions. Some explicit examples, calculations and comparisons will be provided by the use of infinity computing which is one of the various possible assets that contemporary non-standard mathematics makes available.","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142195232","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

Generalized Integration Operators on Analytic Tent Spaces 分析帐篷空间上的广义积分算子

IF 1.1 3区数学

Mediterranean Journal of Mathematics Pub Date : 2024-08-24 DOI: 10.1007/s00009-024-02720-2

Rong Yang, Lian Hu, Songxiao Li

引用次数: 0

On Closed Trajectories of an Autonomous Planar System with Not Necessarily Convex Constraint 论不一定是凸约束的自主平面系统的封闭轨迹

IF 1.1 3区数学

Mediterranean Journal of Mathematics Pub Date : 2024-08-23 DOI: 10.1007/s00009-024-02722-0

J. Appell, L. P. Petrova, I. N. Pryadko, S. Reinwand

引用次数: 0

Strict Solutions to Abstract Differential Equations with State-Dependent Nonlocal Conditions 具有状态相关非局部条件的抽象微分方程的严格解法

IF 1.1 3区数学

Mediterranean Journal of Mathematics Pub Date : 2024-08-21 DOI: 10.1007/s00009-024-02721-1

Jung-Chan Chang

引用次数: 0

Limit Cycles in a Class of Planar Discontinuous Piecewise Quadratic Differential Systems with a Non-regular Line of Discontinuity (II) 一类非规则连续线平面连续片断二次微分系统中的极限循环 (II)

IF 1.1 3区数学

Mediterranean Journal of Mathematics Pub Date : 2024-08-20 DOI: 10.1007/s00009-024-02714-0

Dongping He, Jaume Llibre

{"title":"Limit Cycles in a Class of Planar Discontinuous Piecewise Quadratic Differential Systems with a Non-regular Line of Discontinuity (II)","authors":"Dongping He, Jaume Llibre","doi":"10.1007/s00009-024-02714-0","DOIUrl":"https://doi.org/10.1007/s00009-024-02714-0","url":null,"abstract":"In our previous work, we have studied the limit cycles for a class of discontinuous piecewise quadratic polynomial differential systems with a non-regular line of discontinuity, which is formed by two rays starting from the origin and forming an angle (alpha = pi /2). The unperturbed system is the quadratic uniform isochronous center (dot{x} = -y + x y), (dot{y} = x + y^2) with a family of periodic orbits surrounding the origin. In this paper, we continue to investigate this kind of piecewise differential systems, but now the angle between the two rays is (alpha in (0,pi /2)cup [3pi /2,2pi )). Using the Chebyshev theory, we prove that the maximum number of hyperbolic limit cycles that can bifurcate from these periodic orbits using the averaging theory of first order is exactly 8 for (alpha in (0,pi /2)cup [3pi /2,2pi )). Together with our previous work, which concerns on the case of (alpha =pi /2), we can conclude that using the averaging theory of first order the maximum number of hyperbolic limit cycles is exactly 8, when this quadratic center is perturbed inside the above-mentioned classes separated by a non-regular line of discontinuity with (alpha in (0,pi /2]cup [3pi /2,2pi )).","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142225083","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