发布求助
文献互助 智能选刊 最新文献

Publicacions Matematiques最新文献

筛选
英文 中文
Limit groups over coherent right-angled Artin groups 相干直角Artin群上的极限群
IF 1.1 3区 数学
Publicacions Matematiques Pub Date : 2020-09-03 DOI: 10.5565/publmat6712305
M. Casals-Ruiz, A. Duncan, I. Kazachkov
{"title":"Limit groups over coherent right-angled Artin groups","authors":"M. Casals-Ruiz, A. Duncan, I. Kazachkov","doi":"10.5565/publmat6712305","DOIUrl":"https://doi.org/10.5565/publmat6712305","url":null,"abstract":"A new class of groups $mathcal{C}$, containing all coherent RAAGs and all toral relatively hyperbolic groups, is defined. It is shown that, for a group $G$ in the class $mathcal{C}$, the $mathbb{Z}[t]$-exponential group $G^{mathbb{Z}[t]}$ may be constructed as an iterated centraliser extension. Using this fact, it is proved that $G^{mathbb{Z}[t]}$ is fully residually $G$ (i.e. it has the same universal theory as $G$) and so its finitely generated subgroups are limit groups over $G$. If $mathbb{G}$ is a coherent RAAG, then the converse also holds - any limit group over $mathbb{G}$ embeds into $mathbb{G}^{mathbb{Z}[t]}$. Moreover, it is proved that limit groups over $mathbb{G}$ are finitely presented, coherent and CAT$(0)$, so in particular have solvable word and conjugacy problems.","PeriodicalId":54531,"journal":{"name":"Publicacions Matematiques","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2020-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41612865","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: 4
Sharp $L^p$-$L^q$ estimate fof the spectral projection associated with the twisted Laplacian 与扭曲拉普拉斯算子相关的谱投影的夏普$L^p$-$L^q$估计
IF 1.1 3区 数学
Publicacions Matematiques Pub Date : 2020-08-21 DOI: 10.5565/publmat6622210
Eunhee Jeong, Sanghyuk Lee, Jaehyeon Ryu
{"title":"Sharp $L^p$-$L^q$ estimate fof the spectral projection associated with the twisted Laplacian","authors":"Eunhee Jeong, Sanghyuk Lee, Jaehyeon Ryu","doi":"10.5565/publmat6622210","DOIUrl":"https://doi.org/10.5565/publmat6622210","url":null,"abstract":"In this note we are concerned with estimates for the spectral projection operator $mathcal{P}_mu$ associated with the twisted Laplacian $L$. We completely characterize the optimal bounds on the operator norm of $mathcal{P}_mu$ from $L^p$ to $L^q$ when $1le ple 2le qle infty$. As an application, we obtain uniform resolvent estimate for $L$.","PeriodicalId":54531,"journal":{"name":"Publicacions Matematiques","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2020-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42882211","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: 5
From pre-trusses to skew braces 从预桁架到斜撑
IF 1.1 3区 数学
Publicacions Matematiques Pub Date : 2020-07-11 DOI: 10.5565/publmat6622206
Tomasz Brzezi'nski, Stefano Mereta, Bernard Rybołowicz
{"title":"From pre-trusses to skew braces","authors":"Tomasz Brzezi'nski, Stefano Mereta, Bernard Rybołowicz","doi":"10.5565/publmat6622206","DOIUrl":"https://doi.org/10.5565/publmat6622206","url":null,"abstract":"The notion of a pre-truss, that is, a set that is both a heap and a semigroup is introduced. Pre-trusses themselves as well as pre-trusses in which one-sided or two-sided distributive laws hold are studied. These are termed near-trusses and skew trusses respectively. Congruences in pre-trusses are shown to correspond to paragons defined here as sub-heaps satisfying particular closure property. Near-trusses corresponding to skew braces and near-rings are identified through their paragon and ideal structures. Regular elements in a pre-truss are defined leading to the notion of a (pre-truss) domain. The latter are described as quotients by completely prime paragons, also defined hereby. Regular pre-trusses as domains that satisfy the Ore condition are introduced and the pre-trusses of fractions are defined. In particular, it is shown that near-trusses of fractions without an absorber correspond to skew braces.","PeriodicalId":54531,"journal":{"name":"Publicacions Matematiques","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2020-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46152593","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: 4
Finite $C^0$-determinacy of real analytic map germs with isolated instability 具有孤立不稳定性的真实解析映射芽的有限确定性
IF 1.1 3区 数学
Publicacions Matematiques Pub Date : 2020-07-01 DOI: 10.5565/publmat6422008
J. A. Moya-Pérez, J. J. Nuño-Ballesteros
{"title":"Finite $C^0$-determinacy of real analytic map germs with isolated instability","authors":"J. A. Moya-Pérez, J. J. Nuño-Ballesteros","doi":"10.5565/publmat6422008","DOIUrl":"https://doi.org/10.5565/publmat6422008","url":null,"abstract":"Let f : (Rn; 0) (Rp; 0) be a real analytic map germ with isolated instability. We prove that if n = 2 and p = 2; 3, then f is finitely C0-determined. This result can be seen as a weaker real counterpart of Mather-Gaffney finite determinacy criterion.","PeriodicalId":54531,"journal":{"name":"Publicacions Matematiques","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79414797","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 nuclearity of the $C^*$-algebra of an inverse semigroup 关于逆半群的$C^*$-代数的核性
IF 1.1 3区 数学
Publicacions Matematiques Pub Date : 2020-07-01 DOI: 10.5565/publmat6422005
M. Amini, M. Khoshkam
{"title":"On nuclearity of the $C^*$-algebra of an inverse semigroup","authors":"M. Amini, M. Khoshkam","doi":"10.5565/publmat6422005","DOIUrl":"https://doi.org/10.5565/publmat6422005","url":null,"abstract":": We show that the universal groupoid of an inverse semigroup S is topo- logically (measurewise) amenable if and only if S is hyperfinite and all members of a family of subsemigroups of S indexed by the spectrum of the commutative C ∗ -al-gebra C ∗ ( E S ) on the idempotents E S of S are amenable. Thereby we solve some problems raised by A. L. T. Paterson.","PeriodicalId":54531,"journal":{"name":"Publicacions Matematiques","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42215991","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
Natural families in evolution algebras 进化代数中的自然族
IF 1.1 3区 数学
Publicacions Matematiques Pub Date : 2020-06-25 DOI: 10.5565/publmat6612206
N. Boudi, Yolanda Cabrera Casado, Mercedes Siles Molina
{"title":"Natural families in evolution algebras","authors":"N. Boudi, Yolanda Cabrera Casado, Mercedes Siles Molina","doi":"10.5565/publmat6612206","DOIUrl":"https://doi.org/10.5565/publmat6612206","url":null,"abstract":"In this paper we introduce the notion of evolution rank and give a decomposition of an evolution algebra into its annihilator plus extending evolution subspaces having evolution rank one. This decomposition can be used to prove that in non-degenerate evolution algebras, any family of natural and orthogonal vectors can be extended to a natural basis. Central results are the characterization of those families of orthogonal linearly independent vectors which can be extended to a natural basis. \u0000We also consider ideals in perfect evolution algebras and prove that they coincide with the basic ideals. \u0000Nilpotent elements of order three can be localized (in a perfect evolution algebra over a field in which every element is a square) by merely looking at the structure matrix: any vanishing principal minor provides one. Conversely, if a perfect evolution algebra over an arbitrary field has a nilpotent element of order three, then its structure matrix has a vanishing principal minor. \u0000We finish by considering the adjoint evolution algebra and relating its properties to the corresponding in the initial evolution algebra.","PeriodicalId":54531,"journal":{"name":"Publicacions Matematiques","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2020-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49031029","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: 11
Hausdorff dimension and projections related to intersections 与交点相关的豪斯多夫维数和投影
IF 1.1 3区 数学
Publicacions Matematiques Pub Date : 2020-05-11 DOI: 10.5565/publmat6612212
P. Mattila
{"title":"Hausdorff dimension and projections related to intersections","authors":"P. Mattila","doi":"10.5565/publmat6612212","DOIUrl":"https://doi.org/10.5565/publmat6612212","url":null,"abstract":"For $S_g(x,y)=x-g(y), x,yinmathbb{R}^n, gin O(n),$ we investigate the Lebesgue measure and Hausdorff dimension of $S_g(A)$ given the dimension of $A$, both for general Borel subsets of $mathbb{R}^{2n}$ and for product sets.","PeriodicalId":54531,"journal":{"name":"Publicacions Matematiques","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2020-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46027703","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: 5
The embedding problem for Markov matrices 马尔可夫矩阵的嵌入问题
IF 1.1 3区 数学
Publicacions Matematiques Pub Date : 2020-05-02 DOI: 10.5565/publmat6712308
M. Casanellas, J. Fern'andez-S'anchez, Jordi Roca-Lacostena
{"title":"The embedding problem for Markov matrices","authors":"M. Casanellas, J. Fern'andez-S'anchez, Jordi Roca-Lacostena","doi":"10.5565/publmat6712308","DOIUrl":"https://doi.org/10.5565/publmat6712308","url":null,"abstract":"Characterizing whether a Markov process of discrete random variables has an homogeneous continuous-time realization is a hard problem. In practice, this problem reduces to deciding when a given Markov matrix can be written as the exponential of some rate matrix (a Markov generator). This is an old question known in the literature as the embedding problem (Elfving37), which has been only solved for matrices of size $2times 2$ or $3times 3$. In this paper, we address this problem and related questions and obtain results in two different lines. First, for matrices of any size, we give a bound on the number of Markov generators in terms of the spectrum of the Markov matrix. Based on this, we establish a criterion for deciding whether a generic Markov matrix (different eigenvalues) is embeddable and propose an algorithm that lists all its Markov generators. Then, motivated and inspired by recent results on substitution models of DNA, we focus in the $4times 4$ case and completely solve the embedding problem for any Markov matrix. The solution in this case is more concise as the embeddability is given in terms of a single condition.","PeriodicalId":54531,"journal":{"name":"Publicacions Matematiques","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2020-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42143258","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: 8
Group invariant separating polynomials on a Banach space Banach空间上的群不变分离多项式
IF 1.1 3区 数学
Publicacions Matematiques Pub Date : 2020-04-24 DOI: 10.5565/publmat6612209
J. Falcó, Domingo García, Mingu Jung, M. Maestre
{"title":"Group invariant separating polynomials on a Banach space","authors":"J. Falcó, Domingo García, Mingu Jung, M. Maestre","doi":"10.5565/publmat6612209","DOIUrl":"https://doi.org/10.5565/publmat6612209","url":null,"abstract":"We study the group invariant continuous polynomials on a Banach space $X$ that separate a given set $K$ in $X$ and a point $z$ outside $K$. We show that if $X$ is a real Banach space, $G$ is a compact group of $mathcal{L} (X)$, $K$ is a $G$-invariant set in $X$, and $z$ is a point outside $K$ that can be separated from $K$ by a continuous polynomial $Q$, then $z$ can also be separated from $K$ by a $G$-invariant continuous polynomial $P$. It turns out that this result does not hold when $X$ is a complex Banach space, so we present some additional conditions to get analogous results for the complex case. We also obtain separation theorems under the assumption that $X$ has a Schauder basis which give applications to several classical groups. In this case, we obtain characterizations of points which can be separated by a group invariant polynomial from the closed unit ball.","PeriodicalId":54531,"journal":{"name":"Publicacions Matematiques","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2020-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45544540","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: 11
Algebraic reflexivity of diameter-preserving linear bijections between $C(X)$-spaces $C（X）$-空间间保径线性双射的代数自反性
IF 1.1 3区 数学
Publicacions Matematiques Pub Date : 2020-04-13 DOI: 10.5565/PUBLMAT6522110
A. Jim'enez-Vargas, F. Sady
{"title":"Algebraic reflexivity of diameter-preserving linear bijections between $C(X)$-spaces","authors":"A. Jim'enez-Vargas, F. Sady","doi":"10.5565/PUBLMAT6522110","DOIUrl":"https://doi.org/10.5565/PUBLMAT6522110","url":null,"abstract":"We prove that if $X$ and $Y$ are first countable compact Hausdorff spaces, then the set of all diameter-preserving linear bijections from $C(X)$ to $C(Y)$ is algebraically reflexive.","PeriodicalId":54531,"journal":{"name":"Publicacions Matematiques","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2020-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47265973","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: 1
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