发布求助
文献互助 智能选刊 最新文献

Acta Mathematica Hungarica最新文献

筛选
英文 中文
Central limit theorem for the average closure coefficient 平均闭合系数的中心极限定理
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-03-13 DOI: 10.1007/s10474-024-01416-z
M. Yuan
{"title":"Central limit theorem for the average closure coefficient","authors":"M. Yuan","doi":"10.1007/s10474-024-01416-z","DOIUrl":"10.1007/s10474-024-01416-z","url":null,"abstract":"<div><p>Many real-world networks exhibit the phenomenon of edge clustering,which is typically measured by the average clustering coefficient. Recently,an alternative measure, the average closure coefficient, is proposed to quantify local clustering. It is shown that the average closure coefficient possesses a number of useful properties and can capture complementary information missed by the classical average clustering coefficient. In this paper, we study the asymptotic distribution of the average closure coefficient of a heterogeneous Erdős–Rényi random graph. We prove that the standardized average closure coefficient converges in distribution to the standard normal distribution. In the Erdős–Rényi random graph,the variance of the average closure coefficient exhibits the same phase transition phenomenon as the average clustering coefficient.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"172 2","pages":"543 - 569"},"PeriodicalIF":0.6,"publicationDate":"2024-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140126374","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
Numbers expressible as a difference of two Pisot numbers 可表示为两个皮索特数之差的数
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-03-04 DOI: 10.1007/s10474-024-01410-5
A. Dubickas
{"title":"Numbers expressible as a difference of two Pisot numbers","authors":"A. Dubickas","doi":"10.1007/s10474-024-01410-5","DOIUrl":"10.1007/s10474-024-01410-5","url":null,"abstract":"<div><p>We characterize algebraic integers which are differences of two\u0000Pisot numbers. Each such number <span>(alpha)</span> must be real and its conjugates over <span>(mathbb{Q})</span> must\u0000all lie in the union of the disc <span>(|z|&lt;2)</span> and the strip <span>(|Im(z)|&lt;1)</span>. In particular, we\u0000prove that every real algebraic integer <span>(alpha)</span> whose conjugates over <span>(mathbb{Q})</span>, except possibly\u0000for <span>(alpha)</span> itself, all lie in the disc <span>(|z|&lt;2)</span> can always be written as a difference of\u0000two Pisot numbers. We also show that a real quadratic algebraic integer <span>(alpha)</span> with\u0000conjugate <span>(alpha')</span> over <span>(mathbb{Q})</span> is always expressible as a difference of two Pisot numbers except\u0000for the cases <span>(alpha&lt;alpha'&lt;-2)</span> or <span>(2&lt;alpha'&lt;alpha)</span> when <span>(alpha)</span> cannot be expressed in that\u0000form. A similar complete characterization of all algebraic integers <span>(alpha)</span> expressible\u0000as a difference of two Pisot numbers in terms of the location of their conjugates\u0000is given in the case when the degree <span>(d)</span> of <span>(alpha)</span> is a prime number.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"172 2","pages":"346 - 358"},"PeriodicalIF":0.6,"publicationDate":"2024-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140036942","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 common index divisors and monogenity of septic number fields defined by trinomials of type (x^7+ax^2+b) 论由$$x^7+ax^2+b$$型三项式定义的隔行数域的共指数除数和单原性
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-03-04 DOI: 10.1007/s10474-024-01409-y
H. Ben Yakkou
{"title":"On common index divisors and monogenity of septic number fields defined by trinomials of type (x^7+ax^2+b)","authors":"H. Ben Yakkou","doi":"10.1007/s10474-024-01409-y","DOIUrl":"10.1007/s10474-024-01409-y","url":null,"abstract":"<div><p>We study the index <span>(i(K))</span> of any septic number field <span>(K)</span> generated\u0000by a root of an irreducible trinomial of type <span>(F(x)=x^7+ax^2+b in mathbb{Z}[x])</span>. We show\u0000that the unique prime which can divide <span>(i(K))</span> is <span>(2)</span>. Moreover, we give necessary\u0000and sufficient conditions on <span>(a)</span> and <span>(b)</span> so that <span>(2)</span> is a common index divisor of <span>(K)</span>.\u0000Further, we show that <span>(i(K)=2)</span> whenever <span>(2)</span> divides <span>(i(K))</span>. In this way, we answer\u0000completely Problem <span>(6)</span> and Problem <span>(22)</span> of Narkiewicz [34] for these families of number fields. As an application of our results, if <span>(2)</span> divides <span>(i(K))</span>, then the ring\u0000<span>(mathcal{O}_K)</span> of integers of <span>(K)</span> has no power integral basis. We illustrate our results by\u0000giving some numerical examples.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"172 2","pages":"378 - 399"},"PeriodicalIF":0.6,"publicationDate":"2024-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140036976","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
Compatible relative open books on relative contact pairs via generalized square bridge diagrams 通过广义方桥图实现相对接触对上的兼容相对开本
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-03-01 DOI: 10.1007/s10474-024-01402-5
M. F. Arıkan, İ. Ö. Taşpınar
{"title":"Compatible relative open books on relative contact pairs via generalized square bridge diagrams","authors":"M. F. Arıkan,&nbsp;İ. Ö. Taşpınar","doi":"10.1007/s10474-024-01402-5","DOIUrl":"10.1007/s10474-024-01402-5","url":null,"abstract":"<div><p>Using square bridge position, Akbulut-Ozbagci and later Arikan gave algorithms both of which construct an explicit compatible open book decomposition on a closed contact 3-manifold which results from a contact <span>((pm 1))</span>-surgery on a Legendrian link in the standard contact 3-sphere. In this article, we introduce the “generalized square bridge position” for a Legendrian link in the standard contact 5-sphere and partially generalize this result to the dimension five via an algorithm which constructs relative open book decompositions on relative contact pairs.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"172 1","pages":"80 - 118"},"PeriodicalIF":0.6,"publicationDate":"2024-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10474-024-01402-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140016658","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Martingale Orlicz-Hardy spaces for continuous-time 连续时间的马汀厄尔利兹-哈代空间
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-03-01 DOI: 10.1007/s10474-024-01413-2
J. Lu, Y. Peng
{"title":"Martingale Orlicz-Hardy spaces for continuous-time","authors":"J. Lu,&nbsp;Y. Peng","doi":"10.1007/s10474-024-01413-2","DOIUrl":"10.1007/s10474-024-01413-2","url":null,"abstract":"<div><p>We introduce several martingale Orlicz-Hardy spaces with continuous\u0000time. By use of the atomic decomposition, we establish some martingale\u0000inequalities and characterize the dualities of these spaces.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"172 2","pages":"359 - 377"},"PeriodicalIF":0.6,"publicationDate":"2024-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140016738","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
Linear independence of the real numbers generated by the square and cube subsequences of Thue–Morse 由 Thue-Morse 的平方和立方子序列生成的实数的线性独立性
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-02-29 DOI: 10.1007/s10474-024-01417-y
E. Miyanohara
{"title":"Linear independence of the real numbers generated by the square and cube subsequences of Thue–Morse","authors":"E. Miyanohara","doi":"10.1007/s10474-024-01417-y","DOIUrl":"10.1007/s10474-024-01417-y","url":null,"abstract":"<div><p>Let <span>((t(m))_{m ge0})</span> be Thue-Morse sequence and <span>(b&gt;2)</span> be an integer.\u0000In this paper, we prove that the real numbers <span>(1)</span>, <span>(sum_{m=0}^infty {frac{t(m^2)}{{b}^{m+1}}})</span> and <span>(sum_{m=0}^infty {frac{t(m^3)}{{b}^{m+1}}})</span> are\u0000linearly independent over <span>(mathbb{Q})</span>.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"172 2","pages":"492 - 498"},"PeriodicalIF":0.6,"publicationDate":"2024-02-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140009222","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
Level aspect exponential sums involving Fourier coefficients of symmetric-square lifts 涉及对称平方升降机傅里叶系数的水平方面指数和
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-02-29 DOI: 10.1007/s10474-024-01411-4
F. Hou
{"title":"Level aspect exponential sums involving Fourier coefficients of symmetric-square lifts","authors":"F. Hou","doi":"10.1007/s10474-024-01411-4","DOIUrl":"10.1007/s10474-024-01411-4","url":null,"abstract":"<div><p>Fix an integer <span>(kappage 2)</span>. Let <span>(Pge 2)</span> be a prime, and <span>(F)</span> be the\u0000symmetric-square lift of a Hecke newform <span>(fin mathcal{S}^ {ast} _kappa(P))</span>. We study the exponential sum\u0000</p><div><div><span>$$begin{aligned}mathscr{L}_F(alpha)=sum_{nsim N} A_F(n,1)e(n alpha) end{aligned}$$</span></div></div><p>\u0000by implementing an average over a family in such a way to investigate the best\u0000possible magnitude of the level aspect bound for <span>(mathscr{L}_F(alpha))</span>. We prove a uniform\u0000bound with respect to any <span>(alpha in mathbb{R})</span> and the level parameter <span>(P)</span>, and present that\u0000there exist certain forms with fairly strong oscillations in <span>(mathscr{L}_F(alpha))</span>, if the associated\u0000level of <span>(f)</span> is allowed to vary. As applications, we consider the shifted convolution\u0000sums for <span>( mathrm{GL} (3)times mathrm{GL} (d))</span>, for any <span>(dge 2)</span>, in a family as well as theWaring-Goldbach\u0000problem associated to Fourier coefficients of <span>( mathrm{SL} (3,mathbb{Z}))</span>-Maa<span>(beta)</span> forms.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"172 2","pages":"306 - 323"},"PeriodicalIF":0.6,"publicationDate":"2024-02-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140009117","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
Correction to: On the rank of the 2-class group of some imaginary biquadratic number fields 更正关于某些虚二次数域的 2 类群的秩
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-02-28 DOI: 10.1007/s10474-024-01404-3
A. Mouhib, S. Rouas
{"title":"Correction to: On the rank of the 2-class group of some imaginary biquadratic number fields","authors":"A. Mouhib,&nbsp;S. Rouas","doi":"10.1007/s10474-024-01404-3","DOIUrl":"10.1007/s10474-024-01404-3","url":null,"abstract":"","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"172 1","pages":"287 - 287"},"PeriodicalIF":0.6,"publicationDate":"2024-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140423468","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 locally compact groups of small topological entropy 论拓扑熵小的局部紧凑群
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-02-28 DOI: 10.1007/s10474-024-01405-2
F. G. Russo, O. Waka
{"title":"On locally compact groups of small topological entropy","authors":"F. G. Russo,&nbsp;O. Waka","doi":"10.1007/s10474-024-01405-2","DOIUrl":"10.1007/s10474-024-01405-2","url":null,"abstract":"<div><p>We discuss the finiteness of the topological entropy of continuous endomorphims for some classes of locally compact groups. Firstly, we focus on the abelian case, imposing the condition of being compactly generated, and note an interesting behaviour of slender groups. Secondly, we remove the condition of being abelian and consider nilpotent periodic locally compact \u0000<i>p</i>-groups (<i>p</i> prime), reducing the computations to the case of Sylow \u0000<i>p</i>-subgroups. Finally, we investigate locally compact Heisenberg \u0000<i>p</i>-groups <span>(mathbb{H}_n (mathbb{Q}_ p ))</span> on the field <span>(mathbb{Q}_ p )</span> of the <i>p</i>-adic rationals with <i>n</i> arbitrary positive integer.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"172 1","pages":"62 - 79"},"PeriodicalIF":0.6,"publicationDate":"2024-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10474-024-01405-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140008969","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Characterizing Inverse Sequences For Which Their Inverse Limits Are Homeomorphic 确定其逆极限为同构的逆序列的特征
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-02-20 DOI: 10.1007/s10474-024-01394-2
M. Črepnjak, T. Sovič
{"title":"Characterizing Inverse Sequences For Which Their Inverse Limits Are Homeomorphic","authors":"M. Črepnjak,&nbsp;T. Sovič","doi":"10.1007/s10474-024-01394-2","DOIUrl":"10.1007/s10474-024-01394-2","url":null,"abstract":"<div><p>In [11], Mioduszewski characterized inverse sequences of polyhedra\u0000for which their inverse limits are homeomorphic. In this article, we obtain a\u0000more general characterization: we characterize inverse sequences of arbitrary compact\u0000metric spaces and continuous single-valued functions for which their inverse\u0000limits are homeomorphic. In our approach, set-valued functions are used instead\u0000of continuous single-valued functions in almost commutative diagrams. Using\u0000this characterization we give an alternative proof that the Brouwer-Janiszewski-Knaster continuum and the pseudo-arc are circle-like continua.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"172 1","pages":"42 - 61"},"PeriodicalIF":0.6,"publicationDate":"2024-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10474-024-01394-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139918503","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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