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Universality in several-matrix models via approximate transport maps 基于近似传输映射的若干矩阵模型的通用性
IF 3.7 1区 数学
Acta Mathematica Pub Date : 2014-07-10 DOI: 10.1007/S11511-016-0142-4
A. Figalli, A. Guionnet
{"title":"Universality in several-matrix models via approximate transport maps","authors":"A. Figalli, A. Guionnet","doi":"10.1007/S11511-016-0142-4","DOIUrl":"https://doi.org/10.1007/S11511-016-0142-4","url":null,"abstract":"","PeriodicalId":50895,"journal":{"name":"Acta Mathematica","volume":null,"pages":null},"PeriodicalIF":3.7,"publicationDate":"2014-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/S11511-016-0142-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"53064714","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 36
Global bifurcation of steady gravity water waves with critical layers 具有临界层的稳定重力水波的全局分岔
IF 3.7 1区 数学
Acta Mathematica Pub Date : 2014-07-01 DOI: 10.1007/S11511-017-0144-X
A. Constantin, W. Strauss, Eugen Varvaruca
{"title":"Global bifurcation of steady gravity water waves with critical layers","authors":"A. Constantin, W. Strauss, Eugen Varvaruca","doi":"10.1007/S11511-017-0144-X","DOIUrl":"https://doi.org/10.1007/S11511-017-0144-X","url":null,"abstract":"","PeriodicalId":50895,"journal":{"name":"Acta Mathematica","volume":null,"pages":null},"PeriodicalIF":3.7,"publicationDate":"2014-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/S11511-017-0144-X","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"53064745","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 156
Small cancellation labellings of some infinite graphs and applications 一些无穷图的小消去标记及其应用
IF 3.7 1区 数学
Acta Mathematica Pub Date : 2014-06-19 DOI: 10.4310/acta.2020.v225.n1.a3
Damian Osajda
{"title":"Small cancellation labellings of some infinite graphs and applications","authors":"Damian Osajda","doi":"10.4310/acta.2020.v225.n1.a3","DOIUrl":"https://doi.org/10.4310/acta.2020.v225.n1.a3","url":null,"abstract":"We construct small cancellation labellings for some infinite sequences of finite graphs of bounded degree. We use them to define infinite graphical small cancellation presentations of groups. This technique allows us to provide examples of groups with exotic properties: \u0000- We construct the first examples of finitely generated coarsely non-amenable groups (that is, groups without Guoliang Yu's Property A) that are coarsely embeddable into a Hilbert space. Moreover, our groups act properly on CAT(0) cubical complexes. \u0000- We construct the first examples of finitely generated groups, with expanders embedded isometrically into their Cayley graphs - in contrast,in the case of the Gromov monster expanders are not even coarsely embedded. \u0000We present further applications.","PeriodicalId":50895,"journal":{"name":"Acta Mathematica","volume":null,"pages":null},"PeriodicalIF":3.7,"publicationDate":"2014-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85822708","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 93
Movable intersection and bigness criterion 可动交和大准则
IF 3.7 1区 数学
Acta Mathematica Pub Date : 2014-05-07 DOI: 10.4467/20843828am.18.003.9719
Jian Xiao
{"title":"Movable intersection and bigness criterion","authors":"Jian Xiao","doi":"10.4467/20843828am.18.003.9719","DOIUrl":"https://doi.org/10.4467/20843828am.18.003.9719","url":null,"abstract":"In this note, we give a Morse-type bigness criterion for the difference of two pseudo-effective $(1,1)$-classes by using movable intersections. As an application, we give a Morse-type bigness criterion for the difference of two movable $(n-1,n-1)$-classes.","PeriodicalId":50895,"journal":{"name":"Acta Mathematica","volume":null,"pages":null},"PeriodicalIF":3.7,"publicationDate":"2014-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70986150","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
Lower bounds for numbers of real solutions in problems of Schubert calculus 舒伯特微积分问题实数解的下界
IF 3.7 1区 数学
Acta Mathematica Pub Date : 2014-04-28 DOI: 10.1007/s11511-016-0143-3
E. Mukhin, V. Tarasov
{"title":"Lower bounds for numbers of real solutions in problems of Schubert calculus","authors":"E. Mukhin, V. Tarasov","doi":"10.1007/s11511-016-0143-3","DOIUrl":"https://doi.org/10.1007/s11511-016-0143-3","url":null,"abstract":"","PeriodicalId":50895,"journal":{"name":"Acta Mathematica","volume":null,"pages":null},"PeriodicalIF":3.7,"publicationDate":"2014-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s11511-016-0143-3","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"53064721","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 12
Existence and classification of overtwisted contact structures in all dimensions 全维超扭接触结构的存在与分类
IF 3.7 1区 数学
Acta Mathematica Pub Date : 2014-04-24 DOI: 10.1007/S11511-016-0134-4
M. S. Borman, Y. Eliashberg, Emmy Murphy
{"title":"Existence and classification of overtwisted contact structures in all dimensions","authors":"M. S. Borman, Y. Eliashberg, Emmy Murphy","doi":"10.1007/S11511-016-0134-4","DOIUrl":"https://doi.org/10.1007/S11511-016-0134-4","url":null,"abstract":"","PeriodicalId":50895,"journal":{"name":"Acta Mathematica","volume":null,"pages":null},"PeriodicalIF":3.7,"publicationDate":"2014-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/S11511-016-0134-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"53064387","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 161
Blow up for the critical generalized Korteweg–de Vries equation. I: Dynamics near the soliton 放大到临界广义Korteweg-de Vries方程。孤子附近的动力学
IF 3.7 1区 数学
Acta Mathematica Pub Date : 2014-03-18 DOI: 10.1007/S11511-014-0109-2
Y. Martel, F. Merle, P. Raphaël
{"title":"Blow up for the critical generalized Korteweg–de Vries equation. I: Dynamics near the soliton","authors":"Y. Martel, F. Merle, P. Raphaël","doi":"10.1007/S11511-014-0109-2","DOIUrl":"https://doi.org/10.1007/S11511-014-0109-2","url":null,"abstract":"","PeriodicalId":50895,"journal":{"name":"Acta Mathematica","volume":null,"pages":null},"PeriodicalIF":3.7,"publicationDate":"2014-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/S11511-014-0109-2","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"53063647","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 96
Rational homotopy theory of automorphisms of manifolds 流形自同构的有理同伦理论
IF 3.7 1区 数学
Acta Mathematica Pub Date : 2014-01-16 DOI: 10.4310/acta.2020.v224.n1.a2
Alexander Berglund, I. Madsen
{"title":"Rational homotopy theory of automorphisms of manifolds","authors":"Alexander Berglund, I. Madsen","doi":"10.4310/acta.2020.v224.n1.a2","DOIUrl":"https://doi.org/10.4310/acta.2020.v224.n1.a2","url":null,"abstract":"We study the rational homotopy types of classifying spaces of automorphism groups of smooth simply connected manifolds of dimension at least five. We give dg Lie algebra models for the homotopy automorphisms and the block diffeomorphisms of such manifolds. \u0000Moreover, we use these models to calculate the rational cohomology of the classifying spaces of the homotopy automorphisms and block diffeomorphisms of the manifold #^g S^d x S^d relative to an embedded disk as g tends to infinity. The answer is expressed in terms of stable cohomology of arithmetic groups and invariant Lie algebra cohomology. Through an extension of Kontsevich's work on graph complexes, we relate our results to the (unstable) homology of automorphisms of free groups with boundaries.","PeriodicalId":50895,"journal":{"name":"Acta Mathematica","volume":null,"pages":null},"PeriodicalIF":3.7,"publicationDate":"2014-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71152593","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 29
Note additionnelle 附加说明
IF 3.7 1区 数学
Acta Mathematica Pub Date : 2014-01-01 DOI: 10.1007/BF02418284
J. Hadamard
{"title":"Note additionnelle","authors":"J. Hadamard","doi":"10.1007/BF02418284","DOIUrl":"https://doi.org/10.1007/BF02418284","url":null,"abstract":"","PeriodicalId":50895,"journal":{"name":"Acta Mathematica","volume":null,"pages":null},"PeriodicalIF":3.7,"publicationDate":"2014-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/BF02418284","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"52521587","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
Isotropy of unitary involutions 酉对合的各向同性
IF 3.7 1区 数学
Acta Mathematica Pub Date : 2013-12-17 DOI: 10.1007/S11511-013-0103-0
N. Karpenko, Maksim Zhykhovich
{"title":"Isotropy of unitary involutions","authors":"N. Karpenko, Maksim Zhykhovich","doi":"10.1007/S11511-013-0103-0","DOIUrl":"https://doi.org/10.1007/S11511-013-0103-0","url":null,"abstract":"","PeriodicalId":50895,"journal":{"name":"Acta Mathematica","volume":null,"pages":null},"PeriodicalIF":3.7,"publicationDate":"2013-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/S11511-013-0103-0","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"53063346","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 16
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