发布求助
文献互助 智能选刊 最新文献

Journal of the Australian Mathematical Society最新文献

筛选
英文 中文
JAZ volume 112 issue 1 Cover and Back matter jazz第112卷第1期封面和封底
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2022-01-11 DOI: 10.1017/s1446788721000252
{"title":"JAZ volume 112 issue 1 Cover and Back matter","authors":"","doi":"10.1017/s1446788721000252","DOIUrl":"https://doi.org/10.1017/s1446788721000252","url":null,"abstract":"","PeriodicalId":50007,"journal":{"name":"Journal of the Australian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72701025","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
AUTOMORPHISMS AND SYMPLECTIC LEAVES OF CALOGERO–MOSER SPACES calogero-moser空间的自同构与辛叶
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2021-12-23 DOI: 10.1017/S1446788722000180
C'edric Bonnaf'e
{"title":"AUTOMORPHISMS AND SYMPLECTIC LEAVES OF CALOGERO–MOSER SPACES","authors":"C'edric Bonnaf'e","doi":"10.1017/S1446788722000180","DOIUrl":"https://doi.org/10.1017/S1446788722000180","url":null,"abstract":"Abstract We study the symplectic leaves of the subvariety of fixed points of an automorphism of a Calogero–Moser space induced by an element of finite order of the normalizer of the associated complex reflection group. We give a parametrization à la Harish-Chandra of its symplectic leaves (generalizing earlier works of Bellamy and Losev). This result is inspired by the mysterious relations between the geometry of Calogero–Moser spaces and unipotent representations of finite reductive groups, which is the theme of another paper, C. Bonnafé [‘Calogero–Moser spaces vs unipotent representations’, Pure Appl. Math. Q., to appear, Preprint, 2021, arXiv:2112.13684].","PeriodicalId":50007,"journal":{"name":"Journal of the Australian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80269795","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: 4
$Lambda _s$ -NONUNIFORM MULTIRESOLUTION ANALYSIS $Lambda _s$ -非均匀多分辨率分析
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2021-11-23 DOI: 10.1017/S1446788721000203
S. Pitchai Murugan, G. P. Youvaraj
{"title":"$Lambda _s$\u0000 -NONUNIFORM MULTIRESOLUTION ANALYSIS","authors":"S. Pitchai Murugan, G. P. Youvaraj","doi":"10.1017/S1446788721000203","DOIUrl":"https://doi.org/10.1017/S1446788721000203","url":null,"abstract":"Abstract Gabardo and Nashed [‘Nonuniform multiresolution analyses and spectral pairs’, J. Funct. Anal. 158(1) (1998), 209–241] have introduced the concept of nonuniform multiresolution analysis (NUMRA), based on the theory of spectral pairs, in which the associated translated set \u0000$Lambda ={0,{r}/{N}}+2mathbb Z$\u0000 is not necessarily a discrete subgroup of \u0000$mathbb{R}$\u0000 , and the translation factor is \u0000$2textrm{N}$\u0000 . Here r is an odd integer with \u0000$1leq rleq 2N-1$\u0000 such that r and N are relatively prime. The nonuniform wavelets associated with NUMRA can be used in signal processing, sampling theory, speech recognition and various other areas, where instead of integer shifts nonuniform shifts are needed. In order to further generalize this useful NUMRA, we consider the set \u0000$widetilde {Lambda }={0,{r_1}/{N},{r_2}/{N},ldots ,{r_q}/{N}}+smathbb Z$\u0000 , where s is an even integer, \u0000$qin mathbb {N}$\u0000 , \u0000$r_i$\u0000 is an integer such that \u0000$1leq r_ileq sN-1,,(r_i,N)=1$\u0000 for all i and \u0000$Ngeq 2$\u0000 . In this paper, we prove that the concept of NUMRA with the translation set \u0000$widetilde {Lambda }$\u0000 is possible only if \u0000$widetilde {Lambda }$\u0000 is of the form \u0000${0,{r}/{N}}+smathbb Z$\u0000 . Next we introduce \u0000$Lambda _s$\u0000 -nonuniform multiresolution analysis ( \u0000$Lambda _s$\u0000 -NUMRA) for which the translation set is \u0000$Lambda _s={0,{r}/{N}}+smathbb Z$\u0000 and the dilation factor is \u0000$sN$\u0000 , where s is an even integer. Also, we characterize the scaling functions associated with \u0000$Lambda _s$\u0000 -NUMRA and we give necessary and sufficient conditions for wavelet filters associated with \u0000$Lambda _s$\u0000 -NUMRA.","PeriodicalId":50007,"journal":{"name":"Journal of the Australian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82633940","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
JAZ volume 111 issue 3 Cover and Back matter jazz第111卷第3期封面和封底
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2021-11-11 DOI: 10.1017/s1446788720000361
{"title":"JAZ volume 111 issue 3 Cover and Back matter","authors":"","doi":"10.1017/s1446788720000361","DOIUrl":"https://doi.org/10.1017/s1446788720000361","url":null,"abstract":"","PeriodicalId":50007,"journal":{"name":"Journal of the Australian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76600456","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
INDEX 指数
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2021-11-11 DOI: 10.1017/s1446788720000245
{"title":"INDEX","authors":"","doi":"10.1017/s1446788720000245","DOIUrl":"https://doi.org/10.1017/s1446788720000245","url":null,"abstract":"","PeriodicalId":50007,"journal":{"name":"Journal of the Australian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76803802","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
JAZ volume 111 issue 3 Cover and Front matter jazz第111卷第3期封面和封面问题
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2021-11-11 DOI: 10.1017/s144678872000035x
{"title":"JAZ volume 111 issue 3 Cover and Front matter","authors":"","doi":"10.1017/s144678872000035x","DOIUrl":"https://doi.org/10.1017/s144678872000035x","url":null,"abstract":"","PeriodicalId":50007,"journal":{"name":"Journal of the Australian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73012993","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
BOUNDED COHOMOLOGY AND BINATE GROUPS 有界上同调与二合群
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2021-11-08 DOI: 10.1017/S1446788722000106
Francesco Fournier-Facio, C. Loeh, M. Moraschini
{"title":"BOUNDED COHOMOLOGY AND BINATE GROUPS","authors":"Francesco Fournier-Facio, C. Loeh, M. Moraschini","doi":"10.1017/S1446788722000106","DOIUrl":"https://doi.org/10.1017/S1446788722000106","url":null,"abstract":"Abstract A group is boundedly acyclic if its bounded cohomology with trivial real coefficients vanishes in all positive degrees. Amenable groups are boundedly acyclic, while the first nonamenable examples are the group of compactly supported homeomorphisms of \u0000$ {mathbb {R}}^{n}$\u0000 (Matsumoto–Morita) and mitotic groups (Löh). We prove that binate (alias pseudo-mitotic) groups are boundedly acyclic, which provides a unifying approach to the aforementioned results. Moreover, we show that binate groups are universally boundedly acyclic. We obtain several new examples of boundedly acyclic groups as well as computations of the bounded cohomology of certain groups acting on the circle. In particular, we discuss how these results suggest that the bounded cohomology of the Thompson groups F, T, and V is as simple as possible.","PeriodicalId":50007,"journal":{"name":"Journal of the Australian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87615331","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: 15
THE K-THEORY OF THE ${mathit{C}}^{star }$ -ALGEBRAS OF 2-RANK GRAPHS ASSOCIATED TO COMPLETE BIPARTITE GRAPHS 与完全二部图相关的2-秩图的${mathit{C}}^{star}$ -代数的k理论
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2021-10-25 DOI: 10.1017/S1446788721000161
S. A. Mutter
{"title":"THE K-THEORY OF THE \u0000${mathit{C}}^{star }$\u0000 -ALGEBRAS OF 2-RANK GRAPHS ASSOCIATED TO COMPLETE BIPARTITE GRAPHS","authors":"S. A. Mutter","doi":"10.1017/S1446788721000161","DOIUrl":"https://doi.org/10.1017/S1446788721000161","url":null,"abstract":"Abstract Using a result of Vdovina, we may associate to each complete connected bipartite graph \u0000$kappa $\u0000 a two-dimensional square complex, which we call a tile complex, whose link at each vertex is \u0000$kappa $\u0000 . We regard the tile complex in two different ways, each having a different structure as a \u0000$2$\u0000 -rank graph. To each \u0000$2$\u0000 -rank graph is associated a universal \u0000$C^{star }$\u0000 -algebra, for which we compute the K-theory, thus providing a new infinite collection of \u0000$2$\u0000 -rank graph algebras with explicit K-groups. We determine the homology of the tile complexes and give generalisations of the procedures to complexes and systems consisting of polygons with a higher number of sides.","PeriodicalId":50007,"journal":{"name":"Journal of the Australian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82592811","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
A DIMENSIONAL RESULT ON THE PRODUCT OF CONSECUTIVE PARTIAL QUOTIENTS IN CONTINUED FRACTIONS 连分式中连续部分商积的一个量纲结果
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2021-10-11 DOI: 10.1017/S1446788721000173
Lingling Huang, Chao Ma
{"title":"A DIMENSIONAL RESULT ON THE PRODUCT OF CONSECUTIVE PARTIAL QUOTIENTS IN CONTINUED FRACTIONS","authors":"Lingling Huang, Chao Ma","doi":"10.1017/S1446788721000173","DOIUrl":"https://doi.org/10.1017/S1446788721000173","url":null,"abstract":"Abstract This paper is concerned with the growth rate of the product of consecutive partial quotients relative to the denominator of the convergent for the continued fraction expansion of an irrational number. More precisely, given a natural number \u0000$m,$\u0000 we determine the Hausdorff dimension of the following set: \u0000$$ begin{align*} E_m(tau)=bigg{xin [0,1): limsuplimits_{nrightarrowinfty}frac{log (a_n(x)a_{n+1}(x)cdots a_{n+m}(x))}{log q_n(x)}=taubigg}, end{align*} $$\u0000 where \u0000$tau $\u0000 is a nonnegative number. This extends the dimensional result of Dirichlet nonimprovable sets (when \u0000$m=1$\u0000 ) shown by Hussain, Kleinbock, Wadleigh and Wang.","PeriodicalId":50007,"journal":{"name":"Journal of the Australian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77315500","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
JAZ volume 111 issue 2 Cover and Back matter jazz第111卷第2期封面和封底
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2021-10-01 DOI: 10.1017/s1446788720000348
{"title":"JAZ volume 111 issue 2 Cover and Back matter","authors":"","doi":"10.1017/s1446788720000348","DOIUrl":"https://doi.org/10.1017/s1446788720000348","url":null,"abstract":"","PeriodicalId":50007,"journal":{"name":"Journal of the Australian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81719744","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
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