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Illinois Journal of Mathematics最新文献

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Weingarten flows in Riemannian manifolds 黎曼流形中的Weingarten流
IF 0.6
Illinois Journal of Mathematics Pub Date : 2022-05-19 DOI: 10.1215/00192082-10817329
R. F. Lima
{"title":"Weingarten flows in Riemannian manifolds","authors":"R. F. Lima","doi":"10.1215/00192082-10817329","DOIUrl":"https://doi.org/10.1215/00192082-10817329","url":null,"abstract":"Given orientable Riemannian manifolds $M^n$ and $bar M^{n+1},$ we study flows $F_t:M^nrightarrowbar M^{n+1},$ called Weingarten flows,in which the hypersurfaces $F_t(M)$ evolve in the direction of their normal vectors with speed given by a function $W$ of their principal curvatures,called a Weingarten function, which is homogeneous, monotonic increasing with respect to any of its variables, and positive on the positive cone. We obtain existence results for flows with isoparametric initial data, in which the hypersurfaces $F_t:M^nrightarrowbar M^{n+1}$ are all parallel, and $bar M^{n+1}$ is either a simply connected space form or a rank-one symmetric space of noncompact type. We prove that the avoidance principle holds for Weingarten flows defined by odd Weingarten functions, and also that such flows are embedding preserving.","PeriodicalId":56298,"journal":{"name":"Illinois Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46232637","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Lipschitz metric isometries between outer spaces of virtually free groups 虚拟自由群外空间之间的Lipschitz度量等距
IF 0.6
Illinois Journal of Mathematics Pub Date : 2022-03-17 DOI: 10.1215/00192082-10592435
Rylee Alanza Lyman
{"title":"Lipschitz metric isometries between outer spaces of virtually free groups","authors":"Rylee Alanza Lyman","doi":"10.1215/00192082-10592435","DOIUrl":"https://doi.org/10.1215/00192082-10592435","url":null,"abstract":"Dowdall and Taylor observed that given a finite-index subgroup of a free group, taking covers induces an embedding from the Outer Space of the free group to the Outer Space of the subgroup, that this embedding is an isometry with respect to the (asymmetric) Lipschitz metric, and that the embedding sends folding paths to folding paths. The purpose of this note is to extend this result to virtually free groups. We further extend a result Francaviglia and Martino, proving the existence of\"candidates\"for the Lipschitz distance between points in the Outer Space of the virtually free group. Additionally we identify a deformation retraction of the spine of the Outer Space for the virtually free group with the space considered by Krsti'c and Vogtmann.","PeriodicalId":56298,"journal":{"name":"Illinois Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48082774","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Vanishing of (co)homology of Burch and related submodules Burch及其相关子模的（共）同调的消失
IF 0.6
Illinois Journal of Mathematics Pub Date : 2022-01-04 DOI: 10.1215/00192082-10429128
Souvik Dey, Toshinori Kobayashi
{"title":"Vanishing of (co)homology of Burch and related submodules","authors":"Souvik Dey, Toshinori Kobayashi","doi":"10.1215/00192082-10429128","DOIUrl":"https://doi.org/10.1215/00192082-10429128","url":null,"abstract":"We introduce the notion of Burch submodules and weakly $mathfrak m$-full submodules of modules over local rings and study their properties. One of our main results shows that Burch submodules satisfy 2-Tor rigid and test property. We also show that over a local ring $(R,mathfrak m)$ a submodule $M$ of a finitely generated $R$-module $X$, such that either $M=mathfrak m X$ or $M(subseteq mathfrak m X$) is weakly $mathfrak m$-full in $X$, is 1-Tor rigid and a test module provided that $X$ is faithful (and $X/M$ has finite length when $M$ is weakly $mathfrak m$-full). As an application, we give a new class of rings such that a conjecture of Huneke and Wiegand is affirmative over them.","PeriodicalId":56298,"journal":{"name":"Illinois Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46224949","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
On dimension and regularity of vector-valued measures under Fourier analytic constraints 傅立叶分析约束下向量值测度的维数和正则性
IF 0.6
Illinois Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.1215/00192082-10018154
Rami Ayoush, M. Wojciechowski
{"title":"On dimension and regularity of vector-valued measures under Fourier analytic constraints","authors":"Rami Ayoush, M. Wojciechowski","doi":"10.1215/00192082-10018154","DOIUrl":"https://doi.org/10.1215/00192082-10018154","url":null,"abstract":"","PeriodicalId":56298,"journal":{"name":"Illinois Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45694792","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Classification of Cohen–Macaulay t-spread lexsegment ideals via simplicial complexes Cohen–Macaulay t-展开lexsegment理想的单纯形复形分类
IF 0.6
Illinois Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.1215/00192082-10201831
M. Crupi, A. Ficarra
{"title":"Classification of Cohen–Macaulay t-spread lexsegment ideals via simplicial complexes","authors":"M. Crupi, A. Ficarra","doi":"10.1215/00192082-10201831","DOIUrl":"https://doi.org/10.1215/00192082-10201831","url":null,"abstract":"We study the minimal primary decomposition of completely t –spread lexsegment ideals via simplicial complexes. We determine some algebraic invariants of such a class of t –spread ideals. Hence, we classify all t –spread lexsegment ideals which are Cohen–Macaulay.","PeriodicalId":56298,"journal":{"name":"Illinois Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48757671","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Weighted Hardy–Littlewood–Sobolev-type inequality for ψ-Riemann–Liouville fractional integrals ψ-Riemann–Liouville分数积分的加权Hardy–Littlewood–Sobolev型不等式
IF 0.6
Illinois Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.1215/00192082-10346668
C. Ledesma, J. V. C. Sousa, Amado M. Cruz
{"title":"Weighted Hardy–Littlewood–Sobolev-type inequality for ψ-Riemann–Liouville fractional integrals","authors":"C. Ledesma, J. V. C. Sousa, Amado M. Cruz","doi":"10.1215/00192082-10346668","DOIUrl":"https://doi.org/10.1215/00192082-10346668","url":null,"abstract":"","PeriodicalId":56298,"journal":{"name":"Illinois Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49565030","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Denjoy–Wolff theory and spectral properties of weighted composition operators on Hol(D) Hol(D)上加权复合算子的Denjoy-Wolff理论和谱性质
IF 0.6
Illinois Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.1215/00192082-10235589
W. Arendt, Eddy Bernard, Benjamin Célariès, I. Chalendar
{"title":"Denjoy–Wolff theory and spectral properties of weighted composition operators on Hol(D)","authors":"W. Arendt, Eddy Bernard, Benjamin Célariès, I. Chalendar","doi":"10.1215/00192082-10235589","DOIUrl":"https://doi.org/10.1215/00192082-10235589","url":null,"abstract":"","PeriodicalId":56298,"journal":{"name":"Illinois Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46111338","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Errata for “Henstock–Kurzweil Fourier transforms” Henstock-Kurzweil傅里叶变换的勘误表
IF 0.6
Illinois Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.1215/00192082-10271074
E. Talvila
{"title":"Errata for “Henstock–Kurzweil Fourier transforms”","authors":"E. Talvila","doi":"10.1215/00192082-10271074","DOIUrl":"https://doi.org/10.1215/00192082-10271074","url":null,"abstract":"","PeriodicalId":56298,"journal":{"name":"Illinois Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45008090","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On recurrence in zero-dimensional locally compact flow with compactly generated phase group 具有紧生相群的零维局部紧流的递推性
IF 0.6
Illinois Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.1215/00192082-10201776
Xiongping Dai
{"title":"On recurrence in zero-dimensional locally compact flow with compactly generated phase group","authors":"Xiongping Dai","doi":"10.1215/00192082-10201776","DOIUrl":"https://doi.org/10.1215/00192082-10201776","url":null,"abstract":"We define recurrence for a compactly generated para-topological group G acting continuously on a locally compact Hausdor ff space X with dim X = 0, and then, show that if Gx is compact for all x ∈ X , the conditions (i) this dynamics is pointwise recurrent, (ii) X is a union of G -minimal sets, (iii) the G -orbit closure relation is closed in X × X , and (iv) X ∋ x 7→ Gx ∈ 2 X is continuous, are pairwise equivalent. Consequently, if this dynamics is pointwise product recurrent, then it is pointwise regularly almost periodic and equicontinuous; moreover, a distal, compact, and non-connected G -flow has a non-trivial equicontinuous pointwise regularly almost periodic factor.","PeriodicalId":56298,"journal":{"name":"Illinois Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46752494","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Quasi-geodesics and backward orbits under semigroups of holomorphic functions 全纯函数半群下的拟测地线和后向轨道
IF 0.6
Illinois Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.1215/00192082-10346693
Konstantinos Zarvalis
{"title":"Quasi-geodesics and backward orbits under semigroups of holomorphic functions","authors":"Konstantinos Zarvalis","doi":"10.1215/00192082-10346693","DOIUrl":"https://doi.org/10.1215/00192082-10346693","url":null,"abstract":"We explore two properties of backward orbits under semigroups of holomorphic self-maps in the unit disk. First, we prove that regular backward orbits are quasi-geodesics for the hyperbolic distance of the unit disk. Then, we show that backward orbits satisfy a useful property, this time in Euclidean terms.","PeriodicalId":56298,"journal":{"name":"Illinois Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42283278","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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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