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Colloquium Mathematicum最新文献

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Finitely presented simple groups and measure equivalence 有限地给出了单群和测度等价
IF 0.4 4区 数学
Colloquium Mathematicum Pub Date : 2021-01-22 DOI: 10.4064/cm8610-11-2022
Antonio L'opez Neumann
{"title":"Finitely presented simple groups and measure equivalence","authors":"Antonio L'opez Neumann","doi":"10.4064/cm8610-11-2022","DOIUrl":"https://doi.org/10.4064/cm8610-11-2022","url":null,"abstract":"We exhibit explicit infinite families of finitely presented, Kazhdan, simple groups that are pairwise not measure equivalent. These groups are lattices acting on products of buildings. We obtain the result by studying vanishing and non-vanishing of their $L^2$-Betti numbers.","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44163550","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Zeros of harmonic polynomials withcomplex coefficients 复系数调和多项式的零点
IF 0.4 4区 数学
Colloquium Mathematicum Pub Date : 2021-01-01 DOI: 10.4064/cm7874-4-2021
Chahrazed Harrat
{"title":"Zeros of harmonic polynomials with\u0000complex coefficients","authors":"Chahrazed Harrat","doi":"10.4064/cm7874-4-2021","DOIUrl":"https://doi.org/10.4064/cm7874-4-2021","url":null,"abstract":". We study the maximal number of zeros of harmonic polynomials with complex coefficients. We also study the zeros of harmonic polynomials with complex coefficients which admit a decomposition F ( z ) = P n ( z ) + Q m ( z ) where P n and Q m are polynomials of degree n and m (respectively), with n > m . 30C10, 30C15, 42A50.","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70139886","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Some topological and metric properties ofthe space of $ell _1$-predual hyperplanes in $c$ c$中$ _1$-前偶超平面空间的一些拓扑和度量性质
IF 0.4 4区 数学
Colloquium Mathematicum Pub Date : 2021-01-01 DOI: 10.4064/cm8561-7-2021
Agnieszka Gergont, Łukasz Piasecki
{"title":"Some topological and metric properties of\u0000the space of $ell _1$-predual hyperplanes in $c$","authors":"Agnieszka Gergont, Łukasz Piasecki","doi":"10.4064/cm8561-7-2021","DOIUrl":"https://doi.org/10.4064/cm8561-7-2021","url":null,"abstract":"","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70140988","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Corrigendum to “On the conjecture of Ulam on the invariance of measure in the Hilbert cube” (Colloq. Math. 152 (2018), 79–95) 《论Ulam关于Hilbert立方体测度不变性的猜想》的勘误表(数学，152 (2018)，79-95)
IF 0.4 4区 数学
Colloquium Mathematicum Pub Date : 2021-01-01 DOI: 10.4064/cm7145c-12-2018
Soon-Mo Jung, E. C. Kim
{"title":"Corrigendum to “On the conjecture of Ulam on the invariance of measure in the Hilbert cube” (Colloq. Math. 152 (2018), 79–95)","authors":"Soon-Mo Jung, E. C. Kim","doi":"10.4064/cm7145c-12-2018","DOIUrl":"https://doi.org/10.4064/cm7145c-12-2018","url":null,"abstract":"","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":"164 1","pages":"161-170"},"PeriodicalIF":0.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70116339","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
New characterizations of real hypersurfaces with isometric Reeb flow in the complex quadric 复二次曲面中等距Reeb流实超曲面的新表征
IF 0.4 4区 数学
Colloquium Mathematicum Pub Date : 2021-01-01 DOI: 10.4064/cm8075-12-2019
Zejun Hu, Jiabin Yin
{"title":"New characterizations of real hypersurfaces with isometric Reeb flow in the complex quadric","authors":"Zejun Hu, Jiabin Yin","doi":"10.4064/cm8075-12-2019","DOIUrl":"https://doi.org/10.4064/cm8075-12-2019","url":null,"abstract":"We prove an integral inequality for compact orientable real hypersurfaces of the complex quadric Q (n ≥ 3) in terms of their shape operator S and Reeb vector field ξ. As direct consequences, we obtain new characterizations for real hypersurfaces of Q with isometric Reeb flow. Such hypersurfaces have been classified by J. Berndt and Y. J. Suh [Int. J. Math. 24 (2013), art. 1350050, 18 pp.].","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70133981","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 3
Lifting to relative cluster tilting objects in $2n$-Calabi–Yau $(n+2)$-angulated categories 提升到$2n$ -Calabi-Yau $(n+2)$-倾斜类别中的相对群集倾斜对象
IF 0.4 4区 数学
Colloquium Mathematicum Pub Date : 2021-01-01 DOI: 10.4064/cm8178-7-2020
Panyue Zhou, Xing-fei Zhou
{"title":"Lifting to relative cluster tilting objects in $2n$-Calabi–Yau $(n+2)$-angulated categories","authors":"Panyue Zhou, Xing-fei Zhou","doi":"10.4064/cm8178-7-2020","DOIUrl":"https://doi.org/10.4064/cm8178-7-2020","url":null,"abstract":"We show that a generalized tilting module over the endomorphism algebra of an Oppermann–Thomas cluster tilting object in a 2n-Calabi–Yau (n + 2)-angulated category lifts to a relative cluster tilting object in this category. As an application, this generalizes a recent work of Fu and Liu for triangulated categories.","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":"125 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70135724","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Hereditary subshifts whose measure of maximal entropy does not have the Gibbs property 最大熵的测量不具有吉布斯性质的遗传子移
IF 0.4 4区 数学
Colloquium Mathematicum Pub Date : 2021-01-01 DOI: 10.4064/CM8223-11-2020
J. Kułaga-Przymus, Michał Lemańczyk
{"title":"Hereditary subshifts whose measure of maximal entropy does not have the Gibbs property","authors":"J. Kułaga-Przymus, Michał Lemańczyk","doi":"10.4064/CM8223-11-2020","DOIUrl":"https://doi.org/10.4064/CM8223-11-2020","url":null,"abstract":". We show that the measure of maximal entropy for the hereditary closure of a B -free subshift has the Gibbs property if and only if the Mirsky measure of the subshift is purely atomic. This answers an open question asked by Peckner. Moreover, we show that B is taut whenever the corresponding Mirsky measure ν η has full support. This is the converse to a recent result of Keller.","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70136782","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Sampling $C^1$-submanifolds of $mathbb{H}^n$ 抽样$C^1$- $mathbb{H}^n$的子流形
IF 0.4 4区 数学
Colloquium Mathematicum Pub Date : 2021-01-01 DOI: 10.4064/cm8447-6-2021
Aleksander Antasik
{"title":"Sampling $C^1$-submanifolds of $mathbb{H}^n$","authors":"Aleksander Antasik","doi":"10.4064/cm8447-6-2021","DOIUrl":"https://doi.org/10.4064/cm8447-6-2021","url":null,"abstract":"","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":"185 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70140717","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Sharp condition for the Liouville property in a class of nonlinear elliptic inequalities 一类非线性椭圆不等式Liouville性质的尖锐条件
IF 0.4 4区 数学
Colloquium Mathematicum Pub Date : 2021-01-01 DOI: 10.4064/cm8147-1-2020
P. Souplet
{"title":"Sharp condition for the Liouville property in a class of nonlinear elliptic inequalities","authors":"P. Souplet","doi":"10.4064/cm8147-1-2020","DOIUrl":"https://doi.org/10.4064/cm8147-1-2020","url":null,"abstract":". We study a class of elliptic inequalities which arise in the study of blow-up rate estimates for parabolic problems, and obtain a sharp existence/nonexistence result. Namely, for any p ≥ 1 , we show that the inequality ∆u + u p ≤ ε in R n with u (0) = 1 admits a radial, positive nonincreasing solution for all ε > 0 if and only if n ≥ 2 . This solves a problem left open in [Souplet & Tayachi, Colloq. Math. 88 (2001)]. The result stands in contrast with the classical case ε = 0 .","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70135440","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Ergodic properties of convolution operators in group algebras 群代数中卷积算子的遍历性质
IF 0.4 4区 数学
Colloquium Mathematicum Pub Date : 2021-01-01 DOI: 10.4064/CM8214-6-2020
H. Mustafayev, H. Topal
{"title":"Ergodic properties of convolution operators in group algebras","authors":"H. Mustafayev, H. Topal","doi":"10.4064/CM8214-6-2020","DOIUrl":"https://doi.org/10.4064/CM8214-6-2020","url":null,"abstract":"","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70135996","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
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