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Contribution of n-cylinder square-tiled surfaces to Masur–Veech volume of $mathcal{H}(2g-2)$ n柱方形瓷砖表面对Masur–Veech体积的贡献$mathcal｛H｝（2g-2）$
IF 2.2 1区 数学
Geometric and Functional Analysis Pub Date : 2023-10-12 DOI: 10.1007/s00039-023-00652-9
Ivan Yakovlev
{"title":"Contribution of n-cylinder square-tiled surfaces to Masur–Veech volume of $mathcal{H}(2g-2)$","authors":"Ivan Yakovlev","doi":"10.1007/s00039-023-00652-9","DOIUrl":"https://doi.org/10.1007/s00039-023-00652-9","url":null,"abstract":"<p>We find the generating function for the contributions of <i>n</i>-cylinder square-tiled surfaces to the Masur–Veech volume of <span>(mathcal{H}(2g-2))</span>. It is a bivariate generalization of the generating function for the total volumes obtained by Sauvaget via intersection theory. Our approach is, however, purely combinatorial. It relies on the study of counting functions for certain families of metric ribbon graphs. Their top-degree terms are polynomials, whose (normalized) coefficients are cardinalities of certain families of metric plane trees. These polynomials are analogues of Kontsevich polynomials that appear as part of his proof of Witten’s conjecture.</p>","PeriodicalId":12478,"journal":{"name":"Geometric and Functional Analysis","volume":"26 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2023-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71509213","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: 0
Concentration of invariant means and dynamics of chain stabilizers in continuous geometries 连续几何中不变均值的集中与链稳定器的动力学
IF 2.2 1区 数学
Geometric and Functional Analysis Pub Date : 2023-10-12 DOI: 10.1007/s00039-023-00651-w
Friedrich Martin Schneider
{"title":"Concentration of invariant means and dynamics of chain stabilizers in continuous geometries","authors":"Friedrich Martin Schneider","doi":"10.1007/s00039-023-00651-w","DOIUrl":"https://doi.org/10.1007/s00039-023-00651-w","url":null,"abstract":"<p>We prove a concentration inequality for invariant means on topological groups, namely for such adapted to a chain of amenable topological subgroups. The result is based on an application of Azuma’s martingale inequality and provides a method for establishing extreme amenability. Building on this technique, we exhibit new examples of extremely amenable groups arising from von Neumann’s continuous geometries. Along the way, we also answer a question by Pestov on dynamical concentration in direct products of amenable topological groups.</p>","PeriodicalId":12478,"journal":{"name":"Geometric and Functional Analysis","volume":"26 2","pages":""},"PeriodicalIF":2.2,"publicationDate":"2023-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71509198","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
Isometric group actions with vanishing rate of escape on $$textrm{CAT}(0)$$ spaces $$textrm{CAT}(0)$$空间上具有逃逸消失率的等长群作用
1区 数学
Geometric and Functional Analysis Pub Date : 2023-01-24 DOI: 10.1007/s00039-023-00628-9
Hiroyasu Izeki
{"title":"Isometric group actions with vanishing rate of escape on $$textrm{CAT}(0)$$ spaces","authors":"Hiroyasu Izeki","doi":"10.1007/s00039-023-00628-9","DOIUrl":"https://doi.org/10.1007/s00039-023-00628-9","url":null,"abstract":"Let $Gamma$ be a finitely generated group equipped with a symmetric and nondegenerate probability measure $mu$ with finite second moment, and $Y$ a CAT(0) space which is either proper or of finite telescopic dimension. We show that if an isometric action of $Gamma$ on $Y$ has vanishing rate of escape with respect to $mu$ and does not fix a point in the boundary at infinity of $Y$, then there exists a flat subspace in $Y$ which is left invariant under the action of $Gamma$. In the proof of this result, an equivariant $mu$-harmonic map from $Gamma$ into $Y$ plays an important role.","PeriodicalId":12478,"journal":{"name":"Geometric and Functional Analysis","volume":"56 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136198725","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
Tori Approximation of Families of Diagonally Invariant Measures 对角不变测度族的Tori逼近
IF 2.2 1区 数学
Geometric and Functional Analysis Pub Date : 2023-01-02 DOI: 10.1007/s00039-023-00646-7
O. Solan, Y. Yifrach
{"title":"Tori Approximation of Families of Diagonally Invariant Measures","authors":"O. Solan, Y. Yifrach","doi":"10.1007/s00039-023-00646-7","DOIUrl":"https://doi.org/10.1007/s00039-023-00646-7","url":null,"abstract":"","PeriodicalId":12478,"journal":{"name":"Geometric and Functional Analysis","volume":"33 1","pages":"1354 - 1378"},"PeriodicalIF":2.2,"publicationDate":"2023-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47938375","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: 0
Publisher Correction to: The generalized doubling method: local theory 出版商更正：广义加倍方法：局部理论
IF 2.2 1区 数学
Geometric and Functional Analysis Pub Date : 2022-11-29 DOI: 10.1007/s00039-022-00622-7
Yuanqing Cai, S. Friedberg, Eyal Kaplan
{"title":"Publisher Correction to: The generalized doubling method: local theory","authors":"Yuanqing Cai, S. Friedberg, Eyal Kaplan","doi":"10.1007/s00039-022-00622-7","DOIUrl":"https://doi.org/10.1007/s00039-022-00622-7","url":null,"abstract":"","PeriodicalId":12478,"journal":{"name":"Geometric and Functional Analysis","volume":"32 1","pages":"1334 - 1334"},"PeriodicalIF":2.2,"publicationDate":"2022-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46602211","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: 0
The Spectrum of Schrödinger Operators with Randomly Perturbed Ergodic Potentials 具有随机摄动遍历势的Schrödinger算子的谱
IF 2.2 1区 数学
Geometric and Functional Analysis Pub Date : 2022-11-03 DOI: 10.1007/s00039-023-00632-z
A. Avila, D. Damanik, A. Gorodetski
{"title":"The Spectrum of Schrödinger Operators with Randomly Perturbed Ergodic Potentials","authors":"A. Avila, D. Damanik, A. Gorodetski","doi":"10.1007/s00039-023-00632-z","DOIUrl":"https://doi.org/10.1007/s00039-023-00632-z","url":null,"abstract":"","PeriodicalId":12478,"journal":{"name":"Geometric and Functional Analysis","volume":"33 1","pages":"364-375"},"PeriodicalIF":2.2,"publicationDate":"2022-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51866871","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: 2
Diameter estimates for long-time solutions of the Kähler–Ricci flow Kähler–Ricci流长期解的直径估计
IF 2.2 1区 数学
Geometric and Functional Analysis Pub Date : 2022-10-22 DOI: 10.1007/s00039-022-00620-9
Wangjian Jian, Jian Song
{"title":"Diameter estimates for long-time solutions of the Kähler–Ricci flow","authors":"Wangjian Jian, Jian Song","doi":"10.1007/s00039-022-00620-9","DOIUrl":"https://doi.org/10.1007/s00039-022-00620-9","url":null,"abstract":"","PeriodicalId":12478,"journal":{"name":"Geometric and Functional Analysis","volume":"32 1","pages":"1335 - 1356"},"PeriodicalIF":2.2,"publicationDate":"2022-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43085785","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: 3
The generalized doubling method: local theory 广义加倍方法：局部理论
IF 2.2 1区 数学
Geometric and Functional Analysis Pub Date : 2022-09-29 DOI: 10.1007/s00039-022-00609-4
Yuanqing Cai, S. Friedberg, Eyal Kaplan
{"title":"The generalized doubling method: local theory","authors":"Yuanqing Cai, S. Friedberg, Eyal Kaplan","doi":"10.1007/s00039-022-00609-4","DOIUrl":"https://doi.org/10.1007/s00039-022-00609-4","url":null,"abstract":"","PeriodicalId":12478,"journal":{"name":"Geometric and Functional Analysis","volume":"32 1","pages":"1233 - 1333"},"PeriodicalIF":2.2,"publicationDate":"2022-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43541094","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: 6
An exotic II1documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$_1$$end{document} factor without property Gamma An exotic II1documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$_1$$end{document} factor without property Gamma
IF 2.2 1区 数学
Geometric and Functional Analysis Pub Date : 2022-09-21 DOI: 10.1007/s00039-023-00649-4
I. Chifan, A. Ioana, Srivatsav Kunnawalkam Elayavalli
{"title":"An exotic II1documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$_1$$end{document} factor without property Gamma","authors":"I. Chifan, A. Ioana, Srivatsav Kunnawalkam Elayavalli","doi":"10.1007/s00039-023-00649-4","DOIUrl":"https://doi.org/10.1007/s00039-023-00649-4","url":null,"abstract":"","PeriodicalId":12478,"journal":{"name":"Geometric and Functional Analysis","volume":"33 1","pages":"1243 - 1265"},"PeriodicalIF":2.2,"publicationDate":"2022-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45839443","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
Uniqueness of some cylindrical tangent cones to special Lagrangians 某些圆柱切锥对特殊拉格朗日算子的唯一性
IF 2.2 1区 数学
Geometric and Functional Analysis Pub Date : 2022-08-04 DOI: 10.1007/s00039-023-00634-x
Tristan C. Collins, Yang Li
{"title":"Uniqueness of some cylindrical tangent cones to special Lagrangians","authors":"Tristan C. Collins, Yang Li","doi":"10.1007/s00039-023-00634-x","DOIUrl":"https://doi.org/10.1007/s00039-023-00634-x","url":null,"abstract":"","PeriodicalId":12478,"journal":{"name":"Geometric and Functional Analysis","volume":"33 1","pages":"376-420"},"PeriodicalIF":2.2,"publicationDate":"2022-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49460197","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: 0
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