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
A Generalization of Pisier Homogeneous Banach Algebra Pisier齐次Banach代数的推广
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2021-03-17 DOI: 10.1307/mmj/20205914
Safari Mukeru
{"title":"A Generalization of Pisier Homogeneous Banach Algebra","authors":"Safari Mukeru","doi":"10.1307/mmj/20205914","DOIUrl":"https://doi.org/10.1307/mmj/20205914","url":null,"abstract":"In 1979 Pisier proved remarkably that a sequence of independent and identically distributed standard Gaussian random variables determines, via random Fourier series, a homogeneous Banach algebra P strictly contained in C(T), the class of continuous functions on the unit circle T and strictly containing the classical Wiener algebra A(T), that is, A(T) $ P $ C(T). This improved some previous results obtained by Zafran in solving a long-standing problem raised by Katznelson. In this paper we extend Pisier’s result by showing that any probability measure on the unit circle defines a homogeneous Banach algebra contained in C(T). Thus Pisier algebra is not an isolated object but rather an element in a large class of Pisier-type algebras. We consider the case of spectral measures of stationary sequences of Gaussian random variables and obtain a sufficient condition for the boundedness of the random Fourier series ∑ n∈Z f̂(n) ξn exp(2πint) in the general setting of dependent random variables (ξn).","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2021-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74036838","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
When Is a Reductive Group Scheme Linear? 约化群方案何时是线性的?
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2021-03-12 DOI: 10.1307/mmj/20217208
P. Gille
{"title":"When Is a Reductive Group Scheme Linear?","authors":"P. Gille","doi":"10.1307/mmj/20217208","DOIUrl":"https://doi.org/10.1307/mmj/20217208","url":null,"abstract":"We show that a reductive group scheme over a base scheme S admits a faithful linear representation if and only if its radical torus is isotrivial, that is, it splits after a finite {'e}tale cover.","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2021-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73392976","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: 8
On the Conditional Measures on the Orbits of the Complex Torus 关于复环面轨道的条件测度
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2021-02-17 DOI: 10.1307/mmj/20216050
Szymon Myga
{"title":"On the Conditional Measures on the Orbits of the Complex Torus","authors":"Szymon Myga","doi":"10.1307/mmj/20216050","DOIUrl":"https://doi.org/10.1307/mmj/20216050","url":null,"abstract":"We explore the structure of invariant measures on compact Kähler manifolds with Hamiltonian torus actions. We derive the formula for conditional measures on the orbits of the complex torus and use it to prove a conditional statement about uniqueness of solutions to the g-Monge-Ampère equation.","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2021-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75809965","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
Homomorphisms of Algebraic Groups: Representability and Rigidity 代数群的同态:可表示性与刚性
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2021-01-29 DOI: 10.1307/mmj/20217214
M. Brion
{"title":"Homomorphisms of Algebraic Groups: Representability and Rigidity","authors":"M. Brion","doi":"10.1307/mmj/20217214","DOIUrl":"https://doi.org/10.1307/mmj/20217214","url":null,"abstract":"Given two algebraic groups G, H over a field k, we investigate the representability of the functor of morphisms (of schemes) Hom(G,H) and the subfunctor of homomorphisms (of algebraic groups)Homgp(G,H). We show thatHom(G,H) is represented by a group scheme, locally of finite type, if the k-vector space O(G) is finite-dimensional; the converse holds if H is not étale. When G is linearly reductive and H is smooth, we show that Homgp(G,H) is represented by a smooth scheme M ; moreover, every orbit of H acting by conjugation on M is open.","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2021-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87496277","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: 9
How Far Are p-Adic Lie Groups from Algebraic Groups? p-进李群离代数群有多远?
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2021-01-26 DOI: 10.1307/mmj/20217205
Y. Benoist, Jean-François Quint
{"title":"How Far Are p-Adic Lie Groups from Algebraic Groups?","authors":"Y. Benoist, Jean-François Quint","doi":"10.1307/mmj/20217205","DOIUrl":"https://doi.org/10.1307/mmj/20217205","url":null,"abstract":"We show that, in a weakly regular p-adic Lie group G, the subgroup Gu spanned by the one-parameter subgroups of G admits a Levi decomposition. As a consequence, there exists a regular open subgroup of G which contains Gu","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2021-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80780462","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
Limit Groups over Coherent Right-Angled Artin Groups Are Cyclic Subgroup Separable 相干直角Artin群上的极限群是循环子群可分的
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2021-01-25 DOI: 10.1307/mmj/20216031
J. Fruchter
{"title":"Limit Groups over Coherent Right-Angled Artin Groups Are Cyclic Subgroup Separable","authors":"J. Fruchter","doi":"10.1307/mmj/20216031","DOIUrl":"https://doi.org/10.1307/mmj/20216031","url":null,"abstract":"We prove that cyclic subgroup separability is preserved under exponential completion for groups that belong to a class that includes all coherent RAAGs and toral relatively hyperbolic groups; we do so by exploiting the structure of these completions as iterated free products with commuting subgroups. From this we deduce that the cyclic subgroups of limit groups over coherent RAAGs are separable, answering a question of Casals-Ruiz, Duncan and Kazachov. We also discuss relations between free products with commuting subgroups and the word problem, and recover the fact that limit groups over coherent RAAGs and toral relatively hyperbolic groups have a solvable word problem.","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2021-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73483973","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
Khovanskii-Finite Rational Curves of Arithmetic Genus 2 khovanski -算术格2的有限有理曲线
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2021-01-23 DOI: 10.1307/mmj/20216048
N. Ilten, Ahmad Mokhtar
{"title":"Khovanskii-Finite Rational Curves of Arithmetic Genus 2","authors":"N. Ilten, Ahmad Mokhtar","doi":"10.1307/mmj/20216048","DOIUrl":"https://doi.org/10.1307/mmj/20216048","url":null,"abstract":"We study the existence of Khovanskii-finite valuations for rational curves of arithmetic genus two. We provide a semi-explicit description of the locus of degree n+ 2 rational curves in Pn of arithmetic genus two that admit a Khovanskii-finite valuation. Furthermore, we describe an effective method for determining if a rational curve of arithmetic genus two defined over a number field admits a Khovanskii-finite valuation. This provides a criterion for deciding if such curves admit a toric degeneration. Finally, we show that rational curves with a single unibranch singularity are always Khovanskii-finite if their arithmetic genus is sufficiently small.","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2021-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80345974","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
Big Mapping Class Groups and the Co-Hopfian Property 大映射类群与共合性
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2021-01-18 DOI: 10.1307/mmj/20216075
J. Aramayona, C. Leininger, A. McLeay
{"title":"Big Mapping Class Groups and the Co-Hopfian Property","authors":"J. Aramayona, C. Leininger, A. McLeay","doi":"10.1307/mmj/20216075","DOIUrl":"https://doi.org/10.1307/mmj/20216075","url":null,"abstract":"We study injective homomorphisms between big mapping class groups of infinite-type surfaces. First, we construct (uncountably many) examples of surfaces without boundary whose (pure) mapping class groups are not co-Hopfian; these are the first examples of injective endomorphisms of mapping class groups (of surfaces with empty boundary) that fail to be surjective. We then prove that, subject to some topological conditions on the domain surface, any continuous injective homomorphism between (arbitrary) big mapping class groups that sends Dehn twists to Dehn twists is induced by homeomorphism. Finally, we explore the extent to which, in stark contrast to the finite-type case, superinjective maps between curve graphs impose no topological restrictions on the underlying surfaces.","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2021-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77170291","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
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":null,"pages":null},"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":null,"pages":null},"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
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：481959085
Book学术官方微信