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Acta Mathematica Hungarica最新文献

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On Polynomial Entropy Of Induced Maps On Symmetric Products 论对称积上诱导映射的多项式熵
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2023-12-11 DOI: 10.1007/s10474-023-01386-8
M. Ðorić,  J. Katić,  B. Lasković
{"title":"On Polynomial Entropy Of Induced Maps On Symmetric Products","authors":"M. Ðorić,&nbsp; J. Katić,&nbsp; B. Lasković","doi":"10.1007/s10474-023-01386-8","DOIUrl":"10.1007/s10474-023-01386-8","url":null,"abstract":"<div><p>We give a lower bound for the polynomial entropy of the induced map on an <span>(n)</span> -fold symmetric product of <span>(X)</span> , for a homeomorphism <span>(f)</span> with at least one wandering point, on a compact space \u0000<span>(X)</span>. Also, we compute some polynomial entropies using this result.\u0000</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"171 2","pages":"334 - 347"},"PeriodicalIF":0.6,"publicationDate":"2023-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138981515","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 reciprocal sums of infinitely many arithmetic progressions with increasing prime power moduli 论素数幂模递增的无穷多个算术级数的倒数和
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2023-12-11 DOI: 10.1007/s10474-023-01385-9
B. Borsos, A. Kovács, N. Tihanyi
{"title":"On reciprocal sums of infinitely many arithmetic progressions with increasing prime power moduli","authors":"B. Borsos,&nbsp;A. Kovács,&nbsp;N. Tihanyi","doi":"10.1007/s10474-023-01385-9","DOIUrl":"10.1007/s10474-023-01385-9","url":null,"abstract":"<div><p>Numbers of the form <span>(kcdot p^n+1)</span> with the restriction <span>(k &lt; p^n)</span> are called generalized Proth numbers. For a fixed prime <i>p</i> we denote them by <span>(mathcal{T}_p)</span>. The underlying structure of <span>(mathcal{T}_2)</span> (Proth numbers) was investigated in [2]. \u0000In this paper the authors extend their results to all primes. An efficiently computable upper bound for the reciprocal sum of primes in <span>(mathcal{T}_p)</span> is presented.\u0000All formulae were implemented and verified by the PARI/GP computer algebra system. We show that the asymptotic density of <span>( bigcup_{pin mathcal{P}} mathcal{T}_p)</span> is <span>(log 2)</span>.\u0000</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"171 2","pages":"203 - 220"},"PeriodicalIF":0.6,"publicationDate":"2023-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138566467","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
Upper bounds for the size of set systems with a symmetric set of Hamming distances 具有汉明距离对称集的集系统大小的上界
IF 0.9 3区 数学
Acta Mathematica Hungarica Pub Date : 2023-11-03 DOI: 10.1007/s10474-023-01374-y
G. Hegedüs
{"title":"Upper bounds for the size of set systems with a symmetric set of Hamming distances","authors":"G. Hegedüs","doi":"10.1007/s10474-023-01374-y","DOIUrl":"10.1007/s10474-023-01374-y","url":null,"abstract":"<div><p>Let <span>( mathcal{F} subseteq 2^{[n]})</span> be a fixed family of subsets. Let <span>(D( mathcal{F} ))</span> stand for the following set of Hamming distances: \u0000</p><div><div><span>$$D( mathcal{F} ):={d_H(F,G) : F, Gin mathcal{F} , Fneq G}$$</span></div></div><p> .\u0000 \u0000<span>( mathcal{F} )</span> is said to be a Hamming symmetric family, if <span>( mathcal{F} )</span>X implies <span>(n-din D( mathcal{F} ))</span> for each <span>(din D( mathcal{F} ))</span>.\u0000</p><p>We give sharp upper bounds for the size of Hamming symmetric families. Our proof is based on the linear algebra bound method. </p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"171 1","pages":"176 - 182"},"PeriodicalIF":0.9,"publicationDate":"2023-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134878238","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 boundary discreteness of mappings with a modulus condition 具有模条件的映射的边界离散性
IF 0.9 3区 数学
Acta Mathematica Hungarica Pub Date : 2023-11-01 DOI: 10.1007/s10474-023-01381-z
E. Sevost’yanov
{"title":"On boundary discreteness of mappings with a modulus condition","authors":"E. Sevost’yanov","doi":"10.1007/s10474-023-01381-z","DOIUrl":"10.1007/s10474-023-01381-z","url":null,"abstract":"<div><p>We study the boundary behavior of spatial mappings that distort the\u0000modulus of families of paths in the same way as the inverse Poletsky\u0000inequality. Under certain conditions on the boundaries of the\u0000corresponding domains, we have shown that such mappings have a\u0000continuous boundary extension. Separately, we study the problem of\u0000discreteness of the indicated extension. It is shown that under\u0000some requirements, it is light, and under some more strong\u0000conditions, it is discrete in the closure of a domain.\u0000</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"171 1","pages":"67 - 87"},"PeriodicalIF":0.9,"publicationDate":"2023-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134878220","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
A small ultrafilter number at every singular cardinal 一个小的超滤数在每一个单一的基数
IF 0.9 3区 数学
Acta Mathematica Hungarica Pub Date : 2023-10-31 DOI: 10.1007/s10474-023-01377-9
T. Benhamou, S. Jirattikansakul
{"title":"A small ultrafilter number at every singular cardinal","authors":"T. Benhamou,&nbsp;S. Jirattikansakul","doi":"10.1007/s10474-023-01377-9","DOIUrl":"10.1007/s10474-023-01377-9","url":null,"abstract":"<div><p>We obtain a small ultrafilter number at <span>(aleph_{omega_1})</span>. Moreover, we develop a version of the overlapping strong extender forcing with collapses which can keep the top cardinal <span>(kappa)</span> inaccessible. We apply this forcing to construct a model where <span>(kappa)</span> is the least inaccessible and <span>( V_kappa )</span> is a model of GCH at regulars, failures of SCH at singulars, and the ultrafilter numbers at all singulars are small. \u0000</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"171 1","pages":"12 - 38"},"PeriodicalIF":0.9,"publicationDate":"2023-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134795542","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
Spectrality of a class of Moran measures on the plane 一类莫兰测度在平面上的频谱性
IF 0.9 3区 数学
Acta Mathematica Hungarica Pub Date : 2023-10-31 DOI: 10.1007/s10474-023-01378-8
Z.-S. Liu
{"title":"Spectrality of a class of Moran measures on the plane","authors":"Z.-S. Liu","doi":"10.1007/s10474-023-01378-8","DOIUrl":"10.1007/s10474-023-01378-8","url":null,"abstract":"<div><p>\u0000Let <span>({(R_k,D_k)}_{k=1}^infty)</span> be a sequence of pairs, where \u0000</p><div><div><span>$$D_k={0,1,ldots,q_k-1}(1,1)^T$$</span></div></div><p> is an integer vector set and <span>(R_k)</span> is an integer diagonal matrix or upper triangular matrix, i.e.,\u0000<span>(R_k={begin{pmatrix} s_k &amp; 0 0 &amp; t_k end{pmatrix}})</span>\u0000or\u0000<span>(R_k={begin{pmatrix} u_k &amp; 1 0 &amp; v_k end{pmatrix}})</span>.\u0000Associated with the sequence <span>({(R_k,D_k)}_{k=1}^infty)</span>\u0000 , Moran measure <span>(mu_{{R_k},{D_k}})</span> is defined by\u0000</p><div><div><span>$$mu_{{R_k},{D_k}}=delta_{R_{1}^{-1}D_{1}}astdelta_{R_{1}^{-1}R_{2}^{-1}D_{2}}astcdotsast delta_{R_{1}^{-1}R_{2}^{-1}cdots R_{k}^{-1}D_{k}}ast cdots.$$</span></div></div><p>\u0000In this paper, we consider the spectrality of <span>(mu_{{R_k},{D_k}})</span>. We prove that <span>(mu_{{R_k},{D_k}})</span> is a spectral measure under certain conditions in terms of <span>((R_k,D_k))</span>, i.e., there exists a Fourier basis for <span>(L^2(mu_{{R_k},{D_k}}))</span>.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"171 1","pages":"107 - 123"},"PeriodicalIF":0.9,"publicationDate":"2023-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10474-023-01378-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134797830","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
The sum of squares of degrees of bipartite graphs 二部图的度数平方和
IF 0.9 3区 数学
Acta Mathematica Hungarica Pub Date : 2023-10-31 DOI: 10.1007/s10474-023-01379-7
M. G. Neubauer
{"title":"The sum of squares of degrees of bipartite graphs","authors":"M. G. Neubauer","doi":"10.1007/s10474-023-01379-7","DOIUrl":"10.1007/s10474-023-01379-7","url":null,"abstract":"<div><p>Let <i>G</i> be a subgraph of the complete bipartite graph <span>(K_{l,m},{l leq m})</span>, with <span>(e=qm+p&gt;0)</span>, <span>(0 leq p &lt;m)</span>, edges. The maximal value of the sum of the squares of the degrees of the vertices of <i>G</i> is <span>(qm^2+p^2+ p (q+1)^2+(m-p) q^2)</span>. We classify all graphs that attain this bound using the diagonal sequence of a partition. </p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"171 1","pages":"1 - 11"},"PeriodicalIF":0.9,"publicationDate":"2023-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134795539","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
c-Normality and coprime action in finite groups 有限群中的c-正态性与互素作用
IF 0.9 3区 数学
Acta Mathematica Hungarica Pub Date : 2023-10-31 DOI: 10.1007/s10474-023-01376-w
A. Beltrán, C. Shao
{"title":"c-Normality and coprime action in finite groups","authors":"A. Beltrán,&nbsp;C. Shao","doi":"10.1007/s10474-023-01376-w","DOIUrl":"10.1007/s10474-023-01376-w","url":null,"abstract":"<div><p>A subgroup <i>H</i> of a finite group <i>G</i> is called <i>c</i>-normal if there \u0000exists a normal subgroup <i>N</i> in <i>G</i> such that <i>G = HN</i> and <span>(Hcap N leq core_G (H))</span>, the largest normal subgroup of <i>G</i> contained in <i>H</i>. <i>c</i>-Normality is a weaker form\u0000of normality, introduced by Y.M. Wang, that has led to interesting results and\u0000structural criteria of finite groups. In this paper we study <i>c</i>-normality in the\u0000coprime action setting so as to obtain several solvability and <i>p</i>-nilpotency criteria\u0000in terms of certain subsets of maximal invariant subgroups of a group or of its\u0000Sylow subgroups.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"171 1","pages":"39 - 52"},"PeriodicalIF":0.9,"publicationDate":"2023-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10474-023-01376-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134878446","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
Arithmetic properties of colored p-ary partitions 彩色p元分区的算术性质
IF 0.9 3区 数学
Acta Mathematica Hungarica Pub Date : 2023-10-31 DOI: 10.1007/s10474-023-01382-y
B. Żmija
{"title":"Arithmetic properties of colored p-ary partitions","authors":"B. Żmija","doi":"10.1007/s10474-023-01382-y","DOIUrl":"10.1007/s10474-023-01382-y","url":null,"abstract":"<div><p>We study divisibility properties of p-ary partitions colored with k(p − 1) colors for some positive integer k. In particular, we obtain a precise description of p-adic valuations in the case of <span>(k=p^{alpha})</span> and <span>(k=p^{alpha}-1)</span>.</p><p>We also prove a general result concerning the case in which finitely many parts can be colored with a number of colors smaller than k(p − 1) and all others with exactly k(p − 1) colors, where k is arbitrary (but fixed).</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"171 1","pages":"53 - 66"},"PeriodicalIF":0.9,"publicationDate":"2023-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10474-023-01382-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134878447","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
The Baire category method for intermittent convex integration 间歇凸积分的Baire范畴法
IF 0.9 3区 数学
Acta Mathematica Hungarica Pub Date : 2023-10-31 DOI: 10.1007/s10474-023-01380-0
G. Sattig, L. Székelyhidi
{"title":"The Baire category method for intermittent convex integration","authors":"G. Sattig,&nbsp;L. Székelyhidi","doi":"10.1007/s10474-023-01380-0","DOIUrl":"10.1007/s10474-023-01380-0","url":null,"abstract":"<div><p>We use a convex integration construction from [22] in a Baire\u0000category argument to show that weak solutions to the transport equation with\u0000incompressible vector fields with Sobolev regularity are generic in the Baire category\u0000sense. Using the construction of [7] we prove an analog statement for the\u00003D Navier–Stokes equations.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"171 1","pages":"88 - 106"},"PeriodicalIF":0.9,"publicationDate":"2023-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134878253","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
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