Ensaios Matemáticos最新文献

筛选
英文 中文
Real and complex Li-Sinai solutions of the 3D incompressible Navier-Stokes equations 三维不可压缩Navier-Stokes方程的实数和复数Li-Sinai解
Ensaios Matemáticos Pub Date : 1900-01-01 DOI: 10.21711/217504322023/em384
C. Boldrighini, S. Frigio, P. Maponi, A. Pellegrinotti, Y. Sinai
{"title":"Real and complex Li-Sinai solutions of the 3D incompressible Navier-Stokes equations","authors":"C. Boldrighini, S. Frigio, P. Maponi, A. Pellegrinotti, Y. Sinai","doi":"10.21711/217504322023/em384","DOIUrl":"https://doi.org/10.21711/217504322023/em384","url":null,"abstract":"","PeriodicalId":359243,"journal":{"name":"Ensaios Matemáticos","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132634993","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
An algorithm for computing the Seifert matrix of a link from a braid representation 从编织表示计算链路的塞弗特矩阵的算法
Ensaios Matemáticos Pub Date : 1900-01-01 DOI: 10.21711/217504322016/em304
J. Collins
{"title":"An algorithm for computing the Seifert matrix of a link from a braid representation","authors":"J. Collins","doi":"10.21711/217504322016/em304","DOIUrl":"https://doi.org/10.21711/217504322016/em304","url":null,"abstract":"A Seifert surface of a knot or link inS 3 is an oriented surface in S 3 whose boundary coincides with that of the link. A corresponding Seifert matrix has as its entries the linking numbers of a set of homology generators of the surface. Thus a Seifert matrix encodes essential information about the structure of a link and, unsurprisingly, can be used to dene powerful invariants, such as the Alexander polynomial. The program SeifertView has been designed to visualise Seifert surfaces given by braid representations, but it does not give the user any technical information about the knot or link. This article describes an algorithm which could work alongside SeifertView and compute a Seifert matrix from the same braids and surfaces. It also calculates the genus of the surface, the Alexander polynomial of the knot and the signature of the knot.","PeriodicalId":359243,"journal":{"name":"Ensaios Matemáticos","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115250153","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: 6
Isometric embeddings of the square flat torus in ambient space 方形平面环面在环境空间中的等距嵌入
Ensaios Matemáticos Pub Date : 1900-01-01 DOI: 10.21711/217504322013/em241
Vincent Borrelli, S. Jabrane, F. Lazarus, B. Thibert
{"title":"Isometric embeddings of the square flat torus in ambient space","authors":"Vincent Borrelli, S. Jabrane, F. Lazarus, B. Thibert","doi":"10.21711/217504322013/em241","DOIUrl":"https://doi.org/10.21711/217504322013/em241","url":null,"abstract":"This memoir is concerned with isometric embeddings of a square at torus in the three dimensional Euclidean space. The existence of such embeddings was proved by John Nash and Nicolaas Kuiper in the mid 50s. However, the geometry of these embeddings could barely be conceived from their original papers. Here we provide an explicit construction based on the convex integration theory introduced by Mikhail Gromov in the 70s. We then turn this construction into a computer implementation leading us to the visualisation of an isometrically embedded at torus. The pictures reveal a geometric object in-between fractals and ordinary surfaces. We call this object a C 1 fractal.","PeriodicalId":359243,"journal":{"name":"Ensaios Matemáticos","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122326635","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: 26
From random walk trajectories to random interlacements 从随机行走轨迹到随机交错
Ensaios Matemáticos Pub Date : 1900-01-01 DOI: 10.21711/217504322013/em231
A. Teixeira, J. Černý
{"title":"From random walk trajectories to random interlacements","authors":"A. Teixeira, J. Černý","doi":"10.21711/217504322013/em231","DOIUrl":"https://doi.org/10.21711/217504322013/em231","url":null,"abstract":"We review and comment recent research on random interlacements model introduced by A.-S. Sznitman in [43]. A particular emphasis is put on motivating the definition of the model via natural questions concerning geometrical/percolative properties of random walk trajectories on finite graphs, as well as on presenting some important techniques used in random interlacements’ literature in the most accessible way. This text is an expanded version of the lecture notes for the mini-course given at the XV Brazilian School of Probability in 2011. 2000 Mathematics Subject Classification: 60G50, 60K35, 82C41, 05C80.","PeriodicalId":359243,"journal":{"name":"Ensaios Matemáticos","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133746912","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: 50
Sur la cohomologie et le spectre des variétés localement symétriques 上同调和局部对称流形谱
Ensaios Matemáticos Pub Date : 1900-01-01 DOI: 10.21711/217504322006/em111
N. Bergeron
{"title":"Sur la cohomologie et le spectre des variétés localement symétriques","authors":"N. Bergeron","doi":"10.21711/217504322006/em111","DOIUrl":"https://doi.org/10.21711/217504322006/em111","url":null,"abstract":"This volume is intended as an expository account of some re- sults and problems concerning the cohomology of locally symmetric spaces (especially arithmetic ones) and the relationship with the spectral theory of automorphic forms. The discussion is divided into four chapters: { A general introduction to arithmetic manifolds, Matsushima's formula and cohomological representations; { Cohomology of hyperbolic manifolds; { Isolation properties in the automorphic spectrum; { Cohomology of arithmetic manifolds. However this presentation will be very unbalanced: it is a slightly revised version of my habilitation thesis. It is nevertheless my hope that the reader will not be too much disappointed by the incompleteness of this acount and hopefully nd it useful.","PeriodicalId":359243,"journal":{"name":"Ensaios Matemáticos","volume":"79 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121308767","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: 2
Équations différentielles linéaires et transformation de Fourier : une introduction 线性微分方程与傅里叶变换简介
Ensaios Matemáticos Pub Date : 1900-01-01 DOI: 10.21711/217504321989/em11
B. Malgrange
{"title":"Équations différentielles linéaires et transformation de Fourier : une introduction","authors":"B. Malgrange","doi":"10.21711/217504321989/em11","DOIUrl":"https://doi.org/10.21711/217504321989/em11","url":null,"abstract":"","PeriodicalId":359243,"journal":{"name":"Ensaios Matemáticos","volume":"66 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114887673","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: 1
Feuilletages proches d’une fibration 接近纤维的薄片
Ensaios Matemáticos Pub Date : 1900-01-01 DOI: 10.21711/217504321993/em51
Christian Bonatti
{"title":"Feuilletages proches d’une fibration","authors":"Christian Bonatti","doi":"10.21711/217504321993/em51","DOIUrl":"https://doi.org/10.21711/217504321993/em51","url":null,"abstract":"","PeriodicalId":359243,"journal":{"name":"Ensaios Matemáticos","volume":"97 3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114242553","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: 7
Large deviations for diffusions: Donsker and Varadhan meet Freidlin and Wentzell 扩散的大偏差:Donsker和Varadhan遇到Freidlin和Wentzell
Ensaios Matemáticos Pub Date : 1900-01-01 DOI: 10.21711/217504322023/em383
L. Bertini, D. Gabrielli, C. Landim
{"title":"Large deviations for diffusions: Donsker and Varadhan meet Freidlin and Wentzell","authors":"L. Bertini, D. Gabrielli, C. Landim","doi":"10.21711/217504322023/em383","DOIUrl":"https://doi.org/10.21711/217504322023/em383","url":null,"abstract":"","PeriodicalId":359243,"journal":{"name":"Ensaios Matemáticos","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129029225","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
Dynamics and global geometry of manifolds without conjugate points 无共轭点流形的动力学与全局几何
Ensaios Matemáticos Pub Date : 1900-01-01 DOI: 10.21711/217504322007/em121
R. Ruggiero
{"title":"Dynamics and global geometry of manifolds without conjugate points","authors":"R. Ruggiero","doi":"10.21711/217504322007/em121","DOIUrl":"https://doi.org/10.21711/217504322007/em121","url":null,"abstract":"Manifolds with no conjugate points are natural generalizations of manifolds with nonpositive sectional curvatures. They have in common the fact that geodesics are global minimizers, a variational property of geodesics that is quite special. The restriction on the sign of the sectional curvatures of the manifold leads to a deep knowledge about the topology and the global geometry of the manifold, like the characterization of higher rank, nonpositively curved spaces as symmetric spaces. However, if we drop the assumptions concerning the local geometry of the manifold the study of geodesics becomes much harder. The purpose of this survey is to give an overview of the classical theory of manifolds without conjugate points where no assumptions are made on the sign of the sectional curvatures, since the famous work of Morse about minimizing geodesics of surfaces and the works of Hopf about tori without conjugate points. We shall show important classical and recent applications of many tools of Riemannian geometry, topological dynamics, geometric group theory and topology to study the geodesic flow of manifolds without conjugate points and its connections with the global geometry of the manifold. Such applications roughly show that manifolds without conjugate points are in many respects close to manifolds with nonpositive curvature from the topological point of view.","PeriodicalId":359243,"journal":{"name":"Ensaios Matemáticos","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121586258","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: 38
Étude topologique des applications déviant la verticale 垂直偏转应用的拓扑研究
Ensaios Matemáticos Pub Date : 1900-01-01 DOI: 10.21711/217504321990/em21
P. Calvez
{"title":"Étude topologique des applications déviant la verticale","authors":"P. Calvez","doi":"10.21711/217504321990/em21","DOIUrl":"https://doi.org/10.21711/217504321990/em21","url":null,"abstract":"","PeriodicalId":359243,"journal":{"name":"Ensaios Matemáticos","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129342255","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: 7
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
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