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Annales Mathematiques du Quebec最新文献

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A note on the capacities of Lagrangian p-sum 关于拉格朗日p和的容量的注记
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2024-12-23 DOI: 10.1007/s40316-024-00235-6
Filip Broćić
{"title":"A note on the capacities of Lagrangian p-sum","authors":"Filip Broćić","doi":"10.1007/s40316-024-00235-6","DOIUrl":"10.1007/s40316-024-00235-6","url":null,"abstract":"<div><p>In this short note, we construct an explicit embedding of the rescaling of the <i>p</i>-sum <span>(Koplus _p K^{circ })</span> of the centrally symmetric convex domain <i>K</i> and it’s polar <span>(K^{circ })</span> to the product <span>(K times K^{circ })</span>. The rescaling constant is sharp in some cases. Additionally, we comment about the strong Viterbo conjecture for <span>(Koplus _p K^{circ })</span>.</p></div>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"49 1","pages":"279 - 286"},"PeriodicalIF":0.5,"publicationDate":"2024-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143848951","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Nodal sets of Laplacian eigenfunctions with an eigenvalue of multiplicity 2 特征值多重性为2的拉普拉斯特征函数的节点集
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2024-12-19 DOI: 10.1007/s40316-024-00227-6
Andrew Lyons
{"title":"Nodal sets of Laplacian eigenfunctions with an eigenvalue of multiplicity 2","authors":"Andrew Lyons","doi":"10.1007/s40316-024-00227-6","DOIUrl":"10.1007/s40316-024-00227-6","url":null,"abstract":"<div><p>We study the effects of a domain deformation to the nodal set of Laplacian eigenfunctions when the eigenvalue is degenerate. In particular, we study deformations of a rectangle that perturb one side and how they change the nodal sets corresponding to an eigenvalue of multiplicity 2. We establish geometric properties, such as number of nodal domains, presence of crossings, and boundary intersections, of nodal sets for a large class of boundary deformations and study how these properties change along each eigenvalue branch for small perturbations. We show that internal crossings of the nodal set break under generic deformations and obtain estimates on the location and regularity of the nodal sets on the perturbed rectangle.</p></div>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"49 1","pages":"105 - 153"},"PeriodicalIF":0.5,"publicationDate":"2024-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143848943","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Circular orderability and quandles 循环有序性和阶乘
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2024-12-19 DOI: 10.1007/s40316-024-00234-7
Idrissa Ba, Mohamed Elhamdadi
{"title":"Circular orderability and quandles","authors":"Idrissa Ba,&nbsp;Mohamed Elhamdadi","doi":"10.1007/s40316-024-00234-7","DOIUrl":"10.1007/s40316-024-00234-7","url":null,"abstract":"<p>In this paper, we introduce the notion of circular orderability for quandles. We show that the set of all right (respectively left) circular orderings of a quandle is a compact topological space. We also show that the space of right (respectively left) orderings of a quandle embeds in its space of right (respectively left) circular orderings. Examples of quandles that are not left circularly orderable and examples of quandles that are neither left nor right circularly orderable are given.</p>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"49 1","pages":"63 - 72"},"PeriodicalIF":0.5,"publicationDate":"2024-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143848997","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Sur les modules d’Iwasawa S-ramifiés T-décomposés 岩泽S-分支T-分解模块
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2024-04-10 DOI: 10.1007/s40316-024-00223-w
Jean-François Jaulent
{"title":"Sur les modules d’Iwasawa S-ramifiés T-décomposés","authors":"Jean-François Jaulent","doi":"10.1007/s40316-024-00223-w","DOIUrl":"10.1007/s40316-024-00223-w","url":null,"abstract":"<p>We correct the faulty formulas given in a previous article and we compute the defect group for the Iwasawa <span>(lambda )</span> invariants attached to the <i>S</i>-ramified <i>T</i>-decomposed abelian pro-<span>(ell )</span>-extensions over the <span>({{mathbb {Z}}_ell })</span>-cyclotomic extension of a number field. As a consequence, we extend the results of Itoh, Mizusawa and Ozaki on tamely ramified Iwasawa modules for the cyclotomic <span>({{mathbb {Z}}_ell })</span>-extension of abelian fields.</p>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"49 1","pages":"237 - 252"},"PeriodicalIF":0.5,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143848949","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Estimates for low Steklov eigenvalues of surfaces with several boundary components 具有多个边界分量的曲面的低Steklov特征值估计
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2024-03-26 DOI: 10.1007/s40316-024-00221-y
Hélène Perrin
{"title":"Estimates for low Steklov eigenvalues of surfaces with several boundary components","authors":"Hélène Perrin","doi":"10.1007/s40316-024-00221-y","DOIUrl":"10.1007/s40316-024-00221-y","url":null,"abstract":"<p>In this article, we give computable lower bounds for the first non-zero Steklov eigenvalue <span>(sigma _1)</span> of a compact connected 2-dimensional Riemannian manifold <i>M</i> with several cylindrical boundary components. These estimates show how the geometry of <i>M</i> away from the boundary affects this eigenvalue. They involve geometric quantities specific to manifolds with boundary such as the extrinsic diameter of the boundary. In a second part, we give lower and upper estimates for the low Steklov eigenvalues of a hyperbolic surface with a geodesic boundary in terms of the length of some families of geodesics. This result is similar to a well known result of Schoen, Wolpert and Yau for Laplace eigenvalues on a closed hyperbolic surface.</p>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"49 1","pages":"165 - 184"},"PeriodicalIF":0.5,"publicationDate":"2024-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40316-024-00221-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143848945","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Thin Monodromy in (textrm{O}(5)) Thin Monodromy in （textrm{O}(5))
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2024-03-25 DOI: 10.1007/s40316-024-00222-x
Jitendra Bajpai, Martin Nitsche
{"title":"Thin Monodromy in (textrm{O}(5))","authors":"Jitendra Bajpai,&nbsp;Martin Nitsche","doi":"10.1007/s40316-024-00222-x","DOIUrl":"10.1007/s40316-024-00222-x","url":null,"abstract":"<p>This article studies the orthogonal hypergeometric groups of degree five. We establish the thinness of 12 out of the 19 hypergeometric groups of type <i>O</i>(3, 2) from [4, Table 6]. Some of these examples are associated with Calabi-Yau 4-folds. We also establish the thinness of 9 out of the 17 hypergeometric groups of type <i>O</i>(4, 1) from [13], where the thinness of 7 other cases was already proven. The <i>O</i>(4, 1) type groups were predicted to be all thin and our result leaves just one case open.</p>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"48 2","pages":"349 - 360"},"PeriodicalIF":0.5,"publicationDate":"2024-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40316-024-00222-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142413739","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Note sur les périodes d’Iwasawa associées à un (upvarphi )-module filtré 岩泽周期与过滤后的（upvarphi ）模块相关的注释
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2024-03-16 DOI: 10.1007/s40316-024-00224-9
Bernadette Perrin-Riou
{"title":"Note sur les périodes d’Iwasawa associées à un (upvarphi )-module filtré","authors":"Bernadette Perrin-Riou","doi":"10.1007/s40316-024-00224-9","DOIUrl":"10.1007/s40316-024-00224-9","url":null,"abstract":"<div><p>We associate to a filtered <span>(varphi )</span>-module <span>(mathcal {D})</span> a sub-<span>(mathbb Z_p[[x]])</span>-module of convergent series on the open unit disk in which the <i>p</i>-adic <i>L</i>-functions of the Galois representation associated to <span>(mathcal {D})</span> live (if they exist). This generalizes the already known case where <span>(mathcal {D})</span> is of dimension 2, for example associated to an elliptic curve or a modular form.</p></div>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"49 1","pages":"185 - 214"},"PeriodicalIF":0.5,"publicationDate":"2024-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143848946","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some stability results of positive mass theorem for uniformly asymptotically flat 3-manifolds 均匀渐近平坦 3-manifolds 的正质量定理的若干稳定性结果
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2024-03-14 DOI: 10.1007/s40316-024-00226-7
Conghan Dong
{"title":"Some stability results of positive mass theorem for uniformly asymptotically flat 3-manifolds","authors":"Conghan Dong","doi":"10.1007/s40316-024-00226-7","DOIUrl":"10.1007/s40316-024-00226-7","url":null,"abstract":"<div><p>In this paper, we show that for a sequence of orientable complete uniformly asymptotically flat 3-manifolds <span>((M_i, g_i))</span> with nonnegative scalar curvature and ADM mass <span>(m(g_i))</span> tending to zero, by subtracting some open subsets <span>(Z_i)</span>, whose boundary area satisfies <span>(textrm{Area}(partial Z_i) le C m(g_i)^{frac{1}{2}- varepsilon })</span>, for any base point <span>(p_i in M_i{setminus } Z_i)</span>, <span>((M_i{setminus } Z_i, g_i, p_i))</span> converges to the Euclidean space <span>(({mathbb {R}}^3, g_E, 0))</span> in the <span>(C^0)</span> modulo negligible volume sense. Moreover, if we assume that the Ricci curvature is uniformly bounded from below, then <span>((M_i, g_i, p_i))</span> converges to <span>(({mathbb {R}}^3, g_E, 0))</span> in the pointed Gromov–Hausdorff topology.</p></div>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"48 2","pages":"427 - 451"},"PeriodicalIF":0.5,"publicationDate":"2024-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142411832","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Sharp upper bounds for Steklov eigenvalues of a hypersurface of revolution with two boundary components in Euclidean space 欧几里得空间中具有两个边界分量的旋转超曲面的斯特克洛夫特征值的尖锐上限
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2024-03-06 DOI: 10.1007/s40316-024-00225-8
Léonard Tschanz
{"title":"Sharp upper bounds for Steklov eigenvalues of a hypersurface of revolution with two boundary components in Euclidean space","authors":"Léonard Tschanz","doi":"10.1007/s40316-024-00225-8","DOIUrl":"10.1007/s40316-024-00225-8","url":null,"abstract":"<p>We investigate the question of sharp upper bounds for the Steklov eigenvalues of a hypersurface of revolution in Euclidean space with two boundary components, each isometric to <span>({mathbb {S}}^{n-1})</span>. For the case of the first non zero Steklov eigenvalue, we give a sharp upper bound <span>(B_n(L))</span> (that depends only on the dimension <span>(n ge 3)</span> and the meridian length <span>(L&gt;0)</span>) which is reached by a degenerated metric <span>(g^*)</span> that we compute explicitly. We also give a sharp upper bound <span>(B_n)</span> which depends only on <i>n</i>. Our method also permits us to prove some stability properties of these upper bounds.</p>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"48 2","pages":"489 - 518"},"PeriodicalIF":0.5,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40316-024-00225-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142410205","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Growth rates of Laplace eigenfunctions on the unit disk 单位圆盘上拉普拉斯本征函数的增长率
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2023-08-03 DOI: 10.1007/s40316-023-00219-y
Guillaume Lavoie, Guillaume Poliquin
{"title":"Growth rates of Laplace eigenfunctions on the unit disk","authors":"Guillaume Lavoie,&nbsp;Guillaume Poliquin","doi":"10.1007/s40316-023-00219-y","DOIUrl":"10.1007/s40316-023-00219-y","url":null,"abstract":"<div><p>We give a description of the growth rates of <span>(L^2)</span>-normalized Laplace eigenfunctions on the unit disk with Dirichlet and Neumann boundary conditions. In particular, we show that the growth rates of both Dirichlet and Neumann eigenfunctions are bounded away from zero. Our approach starts with P. Sarnak growth exponents and uses several key asymptotic formulas for Bessel functions or their zeros.</p></div>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"48 2","pages":"407 - 425"},"PeriodicalIF":0.5,"publicationDate":"2023-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49600503","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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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