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Illinois Journal of Mathematics最新文献

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Quadratic differentials, measured foliations, and metric graphs on punctured surfaces 二次微分，测量叶，和度量图在穿孔表面
IF 0.6
Illinois Journal of Mathematics Pub Date : 2020-12-01 DOI: 10.1215/00192082-8827639
K. Dias, Subhojoy Gupta, M. Trnkova
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引用次数: 0
Modulated ( C , α ) -ergodic theorems with non-integral orders for Dunford–Schwartz operators Dunford-Schwartz算子的非整阶调制(C， α) -遍历定理
IF 0.6
Illinois Journal of Mathematics Pub Date : 2020-12-01 DOI: 10.1215/00192082-8746145
T. Yoshimoto
{"title":"Modulated ( C , α ) -ergodic theorems with non-integral orders for Dunford–Schwartz operators","authors":"T. Yoshimoto","doi":"10.1215/00192082-8746145","DOIUrl":"https://doi.org/10.1215/00192082-8746145","url":null,"abstract":"","PeriodicalId":56298,"journal":{"name":"Illinois Journal of Mathematics","volume":"64 1","pages":"613-644"},"PeriodicalIF":0.6,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42583811","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
Erratum to “The profile decomposition for the hyperbolic Schrödinger equation” “双曲型Schrödinger方程的剖面分解”的勘误
IF 0.6
Illinois Journal of Mathematics Pub Date : 2020-12-01 DOI: 10.1215/00192082-8886975
B. Dodson, J. Marzuola, B. Pausader, Daniel Spirn
{"title":"Erratum to “The profile decomposition for the hyperbolic Schrödinger equation”","authors":"B. Dodson, J. Marzuola, B. Pausader, Daniel Spirn","doi":"10.1215/00192082-8886975","DOIUrl":"https://doi.org/10.1215/00192082-8886975","url":null,"abstract":"","PeriodicalId":56298,"journal":{"name":"Illinois Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46246236","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
Delta-points in Banach spaces generated by adequate families 充分族生成Banach空间中的Delta点
IF 0.6
Illinois Journal of Mathematics Pub Date : 2020-12-01 DOI: 10.1215/00192082-10123638
T. Abrahamsen, Vegard Lima, Andr'e Martiny
{"title":"Delta-points in Banach spaces generated by adequate families","authors":"T. Abrahamsen, Vegard Lima, Andr'e Martiny","doi":"10.1215/00192082-10123638","DOIUrl":"https://doi.org/10.1215/00192082-10123638","url":null,"abstract":"We study delta-points in Banach spaces $h_{mathcal{A},p}$ generated by adequate families $mathcal A$ where $1 le p 1$ we prove that neither $h_{mathcal{A},p}$ nor its dual contain delta-points. Under the extra assumption that $mathcal A$ is regular, we prove that the same is true when $p=1.$ In particular the Schreier spaces and their duals fail to have delta-points. If $mathcal A$ consists of finite sets only we are able to rule out the existence of delta-points in $h_{mathcal{A},1}$ and Daugavet-points in its dual. We also show that if $h_{mathcal{A},1}$ is polyhedral, then it is either (I)-polyhedral or (V)-polyhedral (in the sense of Fonf and Vesel'y).","PeriodicalId":56298,"journal":{"name":"Illinois Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49532111","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: 4
Corrigendum to “On the homogeneous ergodic bilinear averages with Möbius and Liouville weights” by E. H. el Abdalaoui E. H. el Abdalaoui的《关于Möbius和Liouville权的齐次遍历双线性平均》的更正
IF 0.6
Illinois Journal of Mathematics Pub Date : 2020-12-01 DOI: 10.1215/00192082-8786126
{"title":"Corrigendum to “On the homogeneous ergodic bilinear averages with Möbius and Liouville weights” by E. H. el Abdalaoui","authors":"","doi":"10.1215/00192082-8786126","DOIUrl":"https://doi.org/10.1215/00192082-8786126","url":null,"abstract":"","PeriodicalId":56298,"journal":{"name":"Illinois Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45597954","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
Of limit key polynomials 极限键多项式
IF 0.6
Illinois Journal of Mathematics Pub Date : 2020-12-01 DOI: 10.1215/00192082-8827671
Maria Alberich-Carramiñana, Alberto F. Boix, Julio Fernández, J. Guàrdia, E. Nart, J. Roé
{"title":"Of limit key polynomials","authors":"Maria Alberich-Carramiñana, Alberto F. Boix, Julio Fernández, J. Guàrdia, E. Nart, J. Roé","doi":"10.1215/00192082-8827671","DOIUrl":"https://doi.org/10.1215/00192082-8827671","url":null,"abstract":"Let ν be a valuation of arbitrary rank on the polynomial ring K[x] with coefficients in a field K. We prove comparison theorems between MacLane–Vaquie key polynomials for valuations μ≤ν and abstract key polynomials for ν. Also, some results on invariants associated to limit key polynomials are obtained. In particular, if char(K)=0, we show that all the limit key polynomials of unbounded continuous families of augmentations have the numerical character equal to one.","PeriodicalId":56298,"journal":{"name":"Illinois Journal of Mathematics","volume":"65 1","pages":"201-229"},"PeriodicalIF":0.6,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43356173","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: 10
Certain ∗-homomorphisms of C∗-algebras and sequences of semicircular elements: A Banach space view C*-代数和半圆形元素序列的某些*-同态：Banach空间观
IF 0.6
Illinois Journal of Mathematics Pub Date : 2020-12-01 DOI: 10.1215/00192082-8720474
Ilwoo Cho, P. Jorgensen
{"title":"Certain ∗-homomorphisms of C∗-algebras and sequences of semicircular elements: A Banach space view","authors":"Ilwoo Cho, P. Jorgensen","doi":"10.1215/00192082-8720474","DOIUrl":"https://doi.org/10.1215/00192082-8720474","url":null,"abstract":"","PeriodicalId":56298,"journal":{"name":"Illinois Journal of Mathematics","volume":"64 1","pages":"519-567"},"PeriodicalIF":0.6,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43634329","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
Epsilon multiplicity for Noetherian graded algebras Noetherian分次代数的Epsilon多重性
IF 0.6
Illinois Journal of Mathematics Pub Date : 2020-11-27 DOI: 10.1215/00192082-10005368
Suprajo Das
{"title":"Epsilon multiplicity for Noetherian graded algebras","authors":"Suprajo Das","doi":"10.1215/00192082-10005368","DOIUrl":"https://doi.org/10.1215/00192082-10005368","url":null,"abstract":"The notion of $varepsilon$-multiplicity was originally defined by Ulrich and Validashti as a limsup and they used it to detect integral dependence of modules. It is important to know if it can be realized as a limit. In this article we show that the relative $varepsilon$-multiplicity of reduced Noetherian graded algebras over an excellent local ring exists as a limit. We also obtain a generalization of Cutkosky's result concerning $varepsilon$-multiplicity, as a corollary of our main theorem.","PeriodicalId":56298,"journal":{"name":"Illinois Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2020-11-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42893769","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
Characterization of saturated graphs related to pairs of disjoint matchings 与不相交匹配对有关的饱和图的特征
IF 0.6
Illinois Journal of Mathematics Pub Date : 2020-11-23 DOI: 10.1215/00192082-9719963
Zhengda Mo, Sam Qunell, A. Tserunyan, Jenna Zomback
{"title":"Characterization of saturated graphs related to pairs of disjoint matchings","authors":"Zhengda Mo, Sam Qunell, A. Tserunyan, Jenna Zomback","doi":"10.1215/00192082-9719963","DOIUrl":"https://doi.org/10.1215/00192082-9719963","url":null,"abstract":"We study the ratio, in a finite graph, of the sizes of the largest matching in any pair of disjoint matchings with the maximum total number of edges and the largest possible matching. Previously, it was shown that this ratio is between 4/5 and 1, and the class of graphs achieving 4/5 was completely characterized. In this paper, we first show that graph decompositions into paths and even cycles provide a new way to study this ratio. We then use this technique to characterize the graphs achieving ratio 1 among all graphs that can be covered by a certain choice of a maximum matching and maximum disjoint matchings.","PeriodicalId":56298,"journal":{"name":"Illinois Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2020-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43940019","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
Ramsey upper density of infinite graph factors 无限图因子的Ramsey上密度
IF 0.6
Illinois Journal of Mathematics Pub Date : 2020-10-26 DOI: 10.1215/00192082-10450499
J. Balogh, Ander Lamaison
{"title":"Ramsey upper density of infinite graph factors","authors":"J. Balogh, Ander Lamaison","doi":"10.1215/00192082-10450499","DOIUrl":"https://doi.org/10.1215/00192082-10450499","url":null,"abstract":"The study of upper density problems on Ramsey theory was initiated by Erdős and Galvin in 1993. In this paper we are concerned with the following problem: given a fixed finite graph $F$, what is the largest value of $lambda$ such that every 2-edge-coloring of the complete graph on $mathbb{N}$ contains a monochromatic infinite $F$-factor whose vertex set has upper density at least $lambda$? \u0000Here we prove a new lower bound for this problem. For some choices of $F$, including cliques and odd cycles, this new bound is sharp, as it matches an older upper bound. For the particular case where $F$ is a triangle, we also give an explicit lower bound of $1-frac{1}{sqrt{7}}=0.62203dots$, improving the previous best bound of 3/5.","PeriodicalId":56298,"journal":{"name":"Illinois Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2020-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48164066","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
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