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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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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
The metric measure boundary of spaces with Ricci curvature bounded below Ricci曲率下有界空间的度量测度边界
IF 2.2 1区 数学
Geometric and Functional Analysis Pub Date : 2022-05-21 DOI: 10.1007/s00039-023-00626-x
Elia Brué, A. Mondino, Daniele Semola
{"title":"The metric measure boundary of spaces with Ricci curvature bounded below","authors":"Elia Brué, A. Mondino, Daniele Semola","doi":"10.1007/s00039-023-00626-x","DOIUrl":"https://doi.org/10.1007/s00039-023-00626-x","url":null,"abstract":"","PeriodicalId":12478,"journal":{"name":"Geometric and Functional Analysis","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2022-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46089887","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
Analytic Langlands correspondence for $$PGL_2$$ P G L 2 on $${mathbb {P}}^1$$ P 1 with parabolic structures over local fields 局部场上具有抛物结构的$${mathbb {P}}^1$$ p1上$$PGL_2$$ P G L 2的解析朗兰对应
IF 2.2 1区 数学
Geometric and Functional Analysis Pub Date : 2022-05-18 DOI: 10.1007/s00039-022-00603-w
Pavel Etingof, Edward Frenkel, David Kazhdan
{"title":"Analytic Langlands correspondence for $$PGL_2$$ P G L 2 on $${mathbb {P}}^1$$ P 1 with parabolic structures over local fields","authors":"Pavel Etingof, Edward Frenkel, David Kazhdan","doi":"10.1007/s00039-022-00603-w","DOIUrl":"https://doi.org/10.1007/s00039-022-00603-w","url":null,"abstract":"<p>We continue to develop the analytic Langlands program for curves over local fields initiated in our earlier papers, following a suggestion of Langlands and a work of Teschner. Namely, we study the Hecke operators which we introduced in those papers in the case of a projective line with parabolic structures at finitely many points for the group <span>(PGL_2)</span>. We establish most of our conjectures in this case.</p>","PeriodicalId":12478,"journal":{"name":"Geometric and Functional Analysis","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2022-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138516634","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
A random cover of a compact hyperbolic surface has relative spectral gap $$frac{3}{16}-varepsilon $$ 3 16 - ε 紧致双曲曲面的随机覆盖层具有相对谱隙$$frac{3}{16}-varepsilon $$ 3 16 - ε
IF 2.2 1区 数学
Geometric and Functional Analysis Pub Date : 2022-05-17 DOI: 10.1007/s00039-022-00602-x
Michael Magee, Frédéric Naud, Doron Puder
{"title":"A random cover of a compact hyperbolic surface has relative spectral gap $$frac{3}{16}-varepsilon $$ 3 16 - ε","authors":"Michael Magee, Frédéric Naud, Doron Puder","doi":"10.1007/s00039-022-00602-x","DOIUrl":"https://doi.org/10.1007/s00039-022-00602-x","url":null,"abstract":"<p>Let <i>X</i> be a compact connected hyperbolic surface, that is, a closed connected orientable smooth surface with a Riemannian metric of constant curvature <span>(-1)</span>. For each <span>(nin {mathbf {N}})</span>, let <span>(X_{n})</span> be a random degree-<i>n</i> cover of <i>X</i> sampled uniformly from all degree-<i>n</i> Riemannian covering spaces of <i>X</i>. An eigenvalue of <i>X</i> or <span>(X_{n})</span> is an eigenvalue of the associated Laplacian operator <span>(Delta _{X})</span> or <span>(Delta _{X_{n}})</span>. We say that an eigenvalue of <span>(X_{n})</span> is <i>new </i>if it occurs with greater multiplicity than in <i>X</i>. We prove that for any <span>(varepsilon &gt;0)</span>, with probability tending to 1 as <span>(nrightarrow infty )</span>, there are no new eigenvalues of <span>(X_{n})</span> below <span>(frac{3}{16}-varepsilon )</span>. We conjecture that the same result holds with <span>(frac{3}{16})</span> replaced by <span>(frac{1}{4})</span>.\u0000</p>","PeriodicalId":12478,"journal":{"name":"Geometric and Functional Analysis","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2022-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138516633","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: 10
Lord Rayleigh’s Conjecture for Vibrating Clamped Plates in Positively Curved Spaces Rayleigh勋爵关于正弯曲空间中振动夹紧板的猜想
IF 2.2 1区 数学
Geometric and Functional Analysis Pub Date : 2022-04-25 DOI: 10.1007/s00039-022-00606-7
Alexandru Krist'aly
{"title":"Lord Rayleigh’s Conjecture for Vibrating Clamped Plates in Positively Curved Spaces","authors":"Alexandru Krist'aly","doi":"10.1007/s00039-022-00606-7","DOIUrl":"https://doi.org/10.1007/s00039-022-00606-7","url":null,"abstract":"","PeriodicalId":12478,"journal":{"name":"Geometric and Functional Analysis","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2022-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41349377","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: 4
Threshold for Steiner triple systems Steiner三重系统的阈值
IF 2.2 1区 数学
Geometric and Functional Analysis Pub Date : 2022-04-08 DOI: 10.1007/s00039-023-00639-6
A. Sah, Mehtaab Sawhney, Michael Simkin
{"title":"Threshold for Steiner triple systems","authors":"A. Sah, Mehtaab Sawhney, Michael Simkin","doi":"10.1007/s00039-023-00639-6","DOIUrl":"https://doi.org/10.1007/s00039-023-00639-6","url":null,"abstract":"","PeriodicalId":12478,"journal":{"name":"Geometric and Functional Analysis","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2022-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44925798","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: 5
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