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Revista Colombiana de Matematicas最新文献

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Extinction and survival in competitive Lotka-Volterra systems with constant coefficients and infinite delays 常系数无限时滞竞争Lotka-Volterra系统的灭绝与生存
Revista Colombiana de Matematicas Pub Date : 2020-01-01 DOI: 10.15446/recolma.v54n1.89791
F. M. D. Oca, L. Pérez
{"title":"Extinction and survival in competitive Lotka-Volterra systems with constant coefficients and infinite delays","authors":"F. M. D. Oca, L. Pérez","doi":"10.15446/recolma.v54n1.89791","DOIUrl":"https://doi.org/10.15446/recolma.v54n1.89791","url":null,"abstract":"The qualitative properties of a nonautonomous competitive Lotka-Volterra system with infinite delays are studied.By using a result of matrix theory and the fluctuation lemma, we establish a series of easily verifiable algebraic conditions on the coefficients and the kernel, which are sufficient to ensure the survival and the extinction of a determined number of species. The surviving part is stabilized around a globally stable critical point of a subsystem of the system under study. These conditions also guarantee the asymptotic behavior of the system.","PeriodicalId":38102,"journal":{"name":"Revista Colombiana de Matematicas","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46126302","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
Integrals of certain Dirichlet series 狄利克雷级数的积分
Revista Colombiana de Matematicas Pub Date : 2020-01-01 DOI: 10.15446/recolma.v54n1.89775
P. Panzone
{"title":"Integrals of certain Dirichlet series","authors":"P. Panzone","doi":"10.15446/recolma.v54n1.89775","DOIUrl":"https://doi.org/10.15446/recolma.v54n1.89775","url":null,"abstract":"We compute in closed form the integrals of certain expressions involving a class of Dirichlet series. This is a generalization of a formula of Jonathan Borwein to a problem stated (and solved) by A. Ivić.","PeriodicalId":38102,"journal":{"name":"Revista Colombiana de Matematicas","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.15446/recolma.v54n1.89775","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48148142","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
Graded modules over simple Lie algebras 简单李代数上的分级模
Revista Colombiana de Matematicas Pub Date : 2019-12-11 DOI: 10.15446/recolma.v53nsupl.84006
Y. Bahturin, M. Kochetov, Abdallah Shihadeh
{"title":"Graded modules over simple Lie algebras","authors":"Y. Bahturin, M. Kochetov, Abdallah Shihadeh","doi":"10.15446/recolma.v53nsupl.84006","DOIUrl":"https://doi.org/10.15446/recolma.v53nsupl.84006","url":null,"abstract":"The paper is devoted to the study of graded-simple modules and gradings on simple modules over finite-dimensional simple Lie algebras. In general, a connection between these two objects is given by the so-called loop construction. We review the main features of this construction as well as necessary and sufficient conditions under which finite-dimensional simple modules can be graded. Over the Lie algebra sl2(C), we consider specific gradings on simple modules of arbitrary dimension.","PeriodicalId":38102,"journal":{"name":"Revista Colombiana de Matematicas","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.15446/recolma.v53nsupl.84006","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47973412","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: 2
A note on deformations of Gorenstein-projective modules over finite dimensional algebras 关于有限维代数上Gorenstein投影模变形的一个注记
Revista Colombiana de Matematicas Pub Date : 2019-12-11 DOI: 10.15446/recolma.v53nsupl.84097
José A. Vélez-Marulanda
{"title":"A note on deformations of Gorenstein-projective modules over finite dimensional algebras","authors":"José A. Vélez-Marulanda","doi":"10.15446/recolma.v53nsupl.84097","DOIUrl":"https://doi.org/10.15446/recolma.v53nsupl.84097","url":null,"abstract":"In this note, we present a survey of results concerning universal deformation rings of finitely generated Gorenstein-projective modules over finite dimensional algebras.","PeriodicalId":38102,"journal":{"name":"Revista Colombiana de Matematicas","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.15446/recolma.v53nsupl.84097","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48812334","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
On space maximal curves 关于空间极大曲线
Revista Colombiana de Matematicas Pub Date : 2019-12-11 DOI: 10.15446/recolma.v53nsupl.84089
Paulo César Oliveira, F. Torres
{"title":"On space maximal curves","authors":"Paulo César Oliveira, F. Torres","doi":"10.15446/recolma.v53nsupl.84089","DOIUrl":"https://doi.org/10.15446/recolma.v53nsupl.84089","url":null,"abstract":"Any maximal curve X is equipped with an intrinsic embedding π: X → Pr which reveal outstanding properties of the curve. By dealing with the contact divisors of the curve π(X) and tangent lines, in this paper we investigate the first positive element that the Weierstrass semigroup at rational points can have whenever r = 3 and π(X) is contained in a cubic surface.","PeriodicalId":38102,"journal":{"name":"Revista Colombiana de Matematicas","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.15446/recolma.v53nsupl.84089","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41573656","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 Pedersen Rigidity Problem 彼得森刚性问题
Revista Colombiana de Matematicas Pub Date : 2019-12-11 DOI: 10.15446/recolma.v53nsupl.84095
S. Kaliszewski, Tron Omland, John Quigg
{"title":"The Pedersen Rigidity Problem","authors":"S. Kaliszewski, Tron Omland, John Quigg","doi":"10.15446/recolma.v53nsupl.84095","DOIUrl":"https://doi.org/10.15446/recolma.v53nsupl.84095","url":null,"abstract":"If is an action of a locally compact abelian group G on a C*-algebra A, Takesaki-Takai duality recovers (A, α) up to Morita equivalence from the dual action of Ĝ on the crossed product A × α G. Given a bit more information, Landstad duality recovers (A, α) up to isomorphism. In between these, by modifying a theorem of Pedersen, (A, α) is recovered up to outer conjugacy from the dual action and the position of A in M(A ×α G). Our search (still unsuccessful, somehow irritating) for examples showing the necessity of this latter condition has led us to formulate the \"Pedersen Rigidity problem\". We present numerous situations where the condition is redundant, including G discrete or A stable or commutative. The most interesting of these \"no-go theorems\" is for locally unitary actions on continuous-trace algebras.","PeriodicalId":38102,"journal":{"name":"Revista Colombiana de Matematicas","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.15446/recolma.v53nsupl.84095","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47635961","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 formal derivative operator and multifactorial numbers 形式导数算子与多因子数
Revista Colombiana de Matematicas Pub Date : 2019-07-01 DOI: 10.15446/RECOLMA.V53N2.85522
J. Triana, R. Castro
{"title":"The formal derivative operator and multifactorial numbers","authors":"J. Triana, R. Castro","doi":"10.15446/RECOLMA.V53N2.85522","DOIUrl":"https://doi.org/10.15446/RECOLMA.V53N2.85522","url":null,"abstract":"In this paper some properties, examples and counterexamples about the formal derivative operator defined with respect to context-free grammars are presented. In addition, we show a connection between the context-free grammar G = { a → abr; b → br+1 } and multifactorial numbers. Some identities involving multifactorial numbers will be obtained by grammatical methods.","PeriodicalId":38102,"journal":{"name":"Revista Colombiana de Matematicas","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47404954","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
Existential Graphs on nonplanar surfaces 非平面曲面上的存在图
Revista Colombiana de Matematicas Pub Date : 2019-07-01 DOI: 10.15446/RECOLMA.V53N2.85539
Arnold Oostra
{"title":"Existential Graphs on nonplanar surfaces","authors":"Arnold Oostra","doi":"10.15446/RECOLMA.V53N2.85539","DOIUrl":"https://doi.org/10.15446/RECOLMA.V53N2.85539","url":null,"abstract":"Existential graphs on the plane constitute a two-dimensional representation of classical logic, in which a Jordan curve stands for the negation of its inside. In this paper we propose a program to develop existential Alpha graphs, which correspond to propositional logic, on various surfaces. The geometry of each manifold determines the possible Jordan curves on it, leading to diverse interpretations of negation. This may open a way for appointing a \"natural\" logic to any surface.","PeriodicalId":38102,"journal":{"name":"Revista Colombiana de Matematicas","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49009791","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
On Symmetric (1, 1)-Coherent Pairs and Sobolev Orthogonal polynomials: an algorithm to compute Fourier coefficients 对称(1,1)-相干对和Sobolev正交多项式:计算傅里叶系数的算法
Revista Colombiana de Matematicas Pub Date : 2019-07-01 DOI: 10.15446/recolma.v53n2.85524
Herbert Dueñas Ruiz, F. Marcellán, A. Molano
{"title":"On Symmetric (1, 1)-Coherent Pairs and Sobolev Orthogonal polynomials: an algorithm to compute Fourier coefficients","authors":"Herbert Dueñas Ruiz, F. Marcellán, A. Molano","doi":"10.15446/recolma.v53n2.85524","DOIUrl":"https://doi.org/10.15446/recolma.v53n2.85524","url":null,"abstract":"In the pioneering paper [13], the concept of Coherent Pair was introduced by Iserles et al. In particular, an algorithm to compute Fourier Coefficients in expansions of Sobolev orthogonal polynomials defined from coherent pairs of measures supported on an infinite subset of the real line is described. In this paper we extend such an algorithm in the framework of the so called Symmetric (1, 1)-Coherent Pairs presented in [8].","PeriodicalId":38102,"journal":{"name":"Revista Colombiana de Matematicas","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47240868","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: 3
On a family of groups generated by parabolic matrices 关于抛物矩阵生成的群族
Revista Colombiana de Matematicas Pub Date : 2019-07-01 DOI: 10.15446/recolma.v53n2.85541
C. Pommerenke, M. Toro
{"title":"On a family of groups generated by parabolic matrices","authors":"C. Pommerenke, M. Toro","doi":"10.15446/recolma.v53n2.85541","DOIUrl":"https://doi.org/10.15446/recolma.v53n2.85541","url":null,"abstract":"We study various aspects of the family of groups generated by the parabolic matrices A(t1 ζ), ... , A(tm ζ) where A(z) = ( 1 z0 1 ) and by the elliptic matrix ( 0 -1  1 0 ). The elements of the matrices W in such groups can be computed by a recursion formula. These groups are special cases of the generalized parametrized modular groups introduced in [16].We study the sets {z : tr W(z) ∈ [-2; +2]} [13] and their critical points and geometry, furthermore some finite index subgroups and the discretness of subgroups.","PeriodicalId":38102,"journal":{"name":"Revista Colombiana de Matematicas","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49134029","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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