Publicacions Matematiques最新文献_第7页

New eigenvalue estimates involving Bessel functions 涉及贝塞尔函数的新特征值估计

IF 1.1 3区数学

Publicacions Matematiques Pub Date : 2019-08-06 DOI: 10.5565/PUBLMAT6522109

F. Chami, N. Ginoux, Georges Habib

引用次数: 4

Lower central words in finite $p$-groups 有限$p$-群中的下中心词

IF 1.1 3区数学

Publicacions Matematiques Pub Date : 2019-07-26 DOI: 10.5565/publmat6512107

Iker de las Heras, M. Morigi

引用次数: 4

The Ruelle operator for symmetric $beta$-shifts 对称$beta$移位的Ruelle算子

IF 1.1 3区数学

Publicacions Matematiques Pub Date : 2019-07-10 DOI: 10.5565/PUBLMAT6422012

A. Lopes, V. Vargas

{"title":"The Ruelle operator for symmetric $beta$-shifts","authors":"A. Lopes, V. Vargas","doi":"10.5565/PUBLMAT6422012","DOIUrl":"https://doi.org/10.5565/PUBLMAT6422012","url":null,"abstract":"Consider $m in mathbb{N}$ and $beta in (1, m + 1]$. Assume that $ain mathbb{R}$ can be represented in base $beta$ using a development in series $a = sum^{infty}_{n = 1}x(n)beta^{-n}$ where the sequence $x = (x(n))_{n in mathbb{N}}$ take values in the alphabet $mathcal{A}_m := {0, ldots, m}$. The above expression is called the $beta$-expansion of $a$ and it is not necessarily unique. We are interested in sequences $x = (x(n))_{n in mathbb{N}} in mathcal{A}_m^mathbb{N}$ which are associated to all possible values $a$ which have a unique expansion. We denote the set of such $x$ (with some more technical restrictions) by $X_{m,beta} subsetmathcal{A}_m^mathbb{N}$. The space $X_{m, beta}$ is called the symmetric $beta$-shift associated to the pair $(m, beta)$. It is invariant by the shift map but in general it is not a subshift of finite type. Given a Holder continuous potential $A:X_{m, beta} tomathbb{R}$, we consider the Ruelle operator $mathcal{L}_A$ and we show the existence of a positive eigenfunction $psi_A$ and an eigenmeasure $rho_A$ for some appropriated values of $m$ and $beta$. We also consider a variational principle of pressure. Moreover, we prove that the family of entropies $h(mu_{tA})_{t>1}$ converges, when $t toinfty$, to the maximal value among the set of all possible values of entropy of all $A$-maximizing probabilities.","PeriodicalId":54531,"journal":{"name":"Publicacions Matematiques","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2019-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47141304","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

Five solved problems on radicals of Ore extensions 解决了关于欧雷拓基的五个问题

IF 1.1 3区数学

Publicacions Matematiques Pub Date : 2019-07-01 DOI: 10.5565/PUBLMAT6321902

Be'eri Greenfeld, A. Smoktunowicz, M. Ziembowski

{"title":"Five solved problems on radicals of Ore extensions","authors":"Be'eri Greenfeld, A. Smoktunowicz, M. Ziembowski","doi":"10.5565/PUBLMAT6321902","DOIUrl":"https://doi.org/10.5565/PUBLMAT6321902","url":null,"abstract":"We answer several open questions and establish new results concerningdierential and skew polynomial ring extensions, with emphasis on radicals. In particular, we prove the following results. If R is prime radical and δ is a derivation of R, then the dierential polynomial ring R[X; δ] is locally nilpotent. This answers an open question posed in [41]. The nil radical of a dierential polynomial ring R[X; δ] takes the form I[X; δ] for some ideal I of R, provided that the base field is infinite. This answers an open question posed in [30] for algebras over infinite fields. If R is a graded algebra generated in degree 1 over a field of characteristic zero and δ is a grading preserving derivation on R, then the Jacobson radical of R is δ-stable. Examples are given to show the necessity of all conditions, thereby proving this result is sharp. Skew polynomial rings with natural grading are locally nilpotent if and only if they are graded locally nilpotent. The power series ring R[[X; σ; δ]] is well-defined whenever δ is a locally nilpotent σ-derivation; this answers a conjecture from [13], and opens up the possibility of generalizing many research directions studied thus far only when further restrictions are put on δ.","PeriodicalId":54531,"journal":{"name":"Publicacions Matematiques","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43464532","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: 7

An interpolation property of locally Stein sets 局部Stein集的插值性质

IF 1.1 3区数学

Publicacions Matematiques Pub Date : 2019-07-01 DOI: 10.5565/PUBLMAT6321909

V. Vâjâitu

引用次数: 0

Two-weight commutator estimates: general multi-parameter framework 双权换向器估计:一般多参数框架

IF 1.1 3区数学

Publicacions Matematiques Pub Date : 2019-06-26 DOI: 10.5565/PUBLMAT6422013

Emil Airta

引用次数: 8

On Euler systems for the multiplicative group over general number fields 关于一般数域上乘性群的Euler系统