发布求助
文献互助 智能选刊 最新文献

Michigan Mathematical Journal最新文献

筛选
英文 中文
On the Asymptotic Number of Generators of High Rank Arithmetic Lattices 高秩算术格的渐近生成数
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2021-01-18 DOI: 10.1307/mmj/20217204
A. Lubotzky, Raz Slutsky
{"title":"On the Asymptotic Number of Generators of High Rank Arithmetic Lattices","authors":"A. Lubotzky, Raz Slutsky","doi":"10.1307/mmj/20217204","DOIUrl":"https://doi.org/10.1307/mmj/20217204","url":null,"abstract":"Abert, Gelander and Nikolov [AGN17] conjectured that the number of generators d(Γ) of a lattice Γ in a high rank simple Lie group H grows sub-linearly with v = μ(H/Γ), the co-volume of Γ in H. We prove this for non-uniform lattices in a very strong form, showing that for 2−generic such H’s, d(Γ) = OH(log v/ log log v), which is essentially optimal. While we can not prove a new upper bound for uniform lattices, we will show that for such lattices one can not expect to achieve a better bound than d(Γ) = O(log v).","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":"74 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2021-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85875434","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: 4
Evaluations of Link Polynomials and Recent Constructions in Heegaard Floer Theory 链接多项式的评价及其在heegard flower理论中的最新构造
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2021-01-14 DOI: 10.1307/mmj/20216061
Larry Gu, A. Manion
{"title":"Evaluations of Link Polynomials and Recent Constructions in Heegaard Floer Theory","authors":"Larry Gu, A. Manion","doi":"10.1307/mmj/20216061","DOIUrl":"https://doi.org/10.1307/mmj/20216061","url":null,"abstract":"Using a definition of Euler characteristic for fractionally-graded complexes based on roots of unity, we show that the Euler characteristics of Dowlin's\"$mathfrak{sl}(n)$-like\"Heegaard Floer knot invariants $HFK_n$ recover both Alexander polynomial evaluations and $mathfrak{sl}(n)$ polynomial evaluations at certain roots of unity for links in $S^3$. We show that the equality of these evaluations can be viewed as the decategorified content of the conjectured spectral sequences relating $mathfrak{sl}(n)$ homology and $HFK_n$.","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":"24 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2021-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72973148","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: 1
Doubly Slice Montesinos Links 双切片蒙特西诺斯链路
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2021-01-11 DOI: 10.1307/mmj/20216077
D. McCoy, Clayton McDonald
{"title":"Doubly Slice Montesinos Links","authors":"D. McCoy, Clayton McDonald","doi":"10.1307/mmj/20216077","DOIUrl":"https://doi.org/10.1307/mmj/20216077","url":null,"abstract":"This paper compares notions of double sliceness for links. The main result is to show that a large family of 2-component Montesinos links are not strongly doubly slice despite being weakly doubly slice and having doubly slice components. Our principal obstruction to strong double slicing comes by considering branched double covers. To this end we prove a result classifying Seifert fibered spaces which admit a smooth embeddings into integer homology $S^1 times S^3$s by maps inducing surjections on the first homology group. A number of other results and examples pertaining to doubly slice links are also given.","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":"71 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2021-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85738132","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: 2
Clark Measures for Rational Inner Functions 有理内函数的Clark测度
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2021-01-02 DOI: 10.1307/mmj/20216046
K. Bickel, J. Cima, A. Sola
{"title":"Clark Measures for Rational Inner Functions","authors":"K. Bickel, J. Cima, A. Sola","doi":"10.1307/mmj/20216046","DOIUrl":"https://doi.org/10.1307/mmj/20216046","url":null,"abstract":"We analyze the fine structure of Clark measures and Clark isometries associated with two-variable rational inner functions on the bidisk. In the degree (n, 1) case, we give a complete description of supports and weights for both generic and exceptional Clark measures, characterize when the associated embedding operators are unitary, and give a formula for those embedding operators. We also highlight connections between our results and both the structure of Agler decompositions and study of extreme points for the set of positive pluriharmonic measures on 2-torus.","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2021-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79249120","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: 7
Hybrid Bounds on Two-Parametric Families of Weyl Sums Along Smooth Curves 光滑曲线上Weyl和两参数族的混合界
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2021-01-01 DOI: 10.1307/mmj/20205904
Chang-Pao Chen, I. Shparlinski
{"title":"Hybrid Bounds on Two-Parametric Families of Weyl Sums Along Smooth Curves","authors":"Chang-Pao Chen, I. Shparlinski","doi":"10.1307/mmj/20205904","DOIUrl":"https://doi.org/10.1307/mmj/20205904","url":null,"abstract":"","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76850854","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: 3
Ga3-Structures on del Pezzo Fibrations del Pezzo纤维的ga3结构
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2021-01-01 DOI: 10.1307/MMJ/20195835
Masaru Nagaoka
{"title":"Ga3-Structures on del Pezzo Fibrations","authors":"Masaru Nagaoka","doi":"10.1307/MMJ/20195835","DOIUrl":"https://doi.org/10.1307/MMJ/20195835","url":null,"abstract":"","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":"10 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85898395","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: 3
Multiplicative p -Adic Approximation 乘法p进近似值
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2021-01-01 DOI: 10.1307/mmj/20195785
D. Badziahin, Y. Bugeaud
{"title":"Multiplicative p -Adic Approximation","authors":"D. Badziahin, Y. Bugeaud","doi":"10.1307/mmj/20195785","DOIUrl":"https://doi.org/10.1307/mmj/20195785","url":null,"abstract":"Let p be a prime number. We give several results towards a particular instance of a conjecture of Einsiedler and Kleinbock asserting that every p-adic number x satisfies inf a,b∈Z∖{0}|ab|⋅|ax−b|p=0. We highlight a close relationship between this conjecture and the (still open) p-adic Littlewood conjecture, according to which every real number ξ satisfies inf q∈Z,q⩾1q⋅‖qξ‖⋅|q|p=0. Furthermore, we discuss the analogues of these conjectures over fields of power series.","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":"8 1","pages":"1-23"},"PeriodicalIF":0.9,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86613645","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: 4
Rigid Biholomorphic Equivalences of Rigid C2,1 Hypersurfaces M5⊂C3 C2,1超曲面M5的刚性生物全纯等价
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2021-01-01 DOI: 10.1307/mmj/20205950
W. Foo, J. Merker, The-Anh Ta
{"title":"Rigid Biholomorphic Equivalences of Rigid C2,1 Hypersurfaces M5⊂C3","authors":"W. Foo, J. Merker, The-Anh Ta","doi":"10.1307/mmj/20205950","DOIUrl":"https://doi.org/10.1307/mmj/20205950","url":null,"abstract":"","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":"234 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75749235","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: 1
A Self-Affine Property of Evolutional Type Appearing in a Hamilton–Jacobi Flow Starting from the Takagi Function 从Takagi函数出发的Hamilton-Jacobi流中出现的进化型自仿射性质
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2021-01-01 DOI: 10.1307/mmj/20195782
Y. Fujita, N. Hamamuki, Norikazu Yamaguchi
{"title":"A Self-Affine Property of Evolutional Type Appearing in a Hamilton–Jacobi Flow Starting from the Takagi Function","authors":"Y. Fujita, N. Hamamuki, Norikazu Yamaguchi","doi":"10.1307/mmj/20195782","DOIUrl":"https://doi.org/10.1307/mmj/20195782","url":null,"abstract":"In this paper, we study a Hamilton–Jacobi flow {Htτ}t>0 starting from the Takagi function τ. The Takagi function is well known as a pathological function that is everywhere continuous and nowhere differentiable on R. As the first result of this paper, we derive an explicit representation of {Htτ}. It turns out that Htτ is a piecewise quadratic function at any time and that the points of intersection between the parabolas are given in terms of binary expansion of real numbers. Applying the representation formula, we next give the main result, which asserts that {Htτ} has a self-affine property of evolutional type involving a time difference in the functional equality. Furthermore, we determine the optimal time until when the self-affine property is valid.","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":"11 1","pages":"1-16"},"PeriodicalIF":0.9,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91157733","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: 3
Global Frobenius Betti Numbers and Frobenius Euler Characteristics 全局Frobenius Betti数和Frobenius Euler特征
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2021-01-01 DOI: 10.1307/MMJ/20195824
Alessandro De Stefani, Thomas Polstra, Yongwei Yao
{"title":"Global Frobenius Betti Numbers and Frobenius Euler Characteristics","authors":"Alessandro De Stefani, Thomas Polstra, Yongwei Yao","doi":"10.1307/MMJ/20195824","DOIUrl":"https://doi.org/10.1307/MMJ/20195824","url":null,"abstract":"","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":"198 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72751564","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: 2
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：604180095
Book学术官方微信
小红书