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Comptes Rendus de l'Académie des Sciences - Series I - Mathematics最新文献

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Musique et nation dans l’entre-deux-guerres (Europe-Amériques). Compte rendu de la journée d’étude inaugurale du projet de recherche, 10 décembre 2015, Maison de la Recherche, Paris 两次世界大战之间的音乐和民族(欧洲-美洲)。2015年12月10日，巴黎研究之家，研究项目启动日报告
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics Pub Date : 2018-02-08 DOI: 10.7202/1043229AR
J. Amar, Tristan Lebaud, Cecilia Gomes Pires
{"title":"Musique et nation dans l’entre-deux-guerres (Europe-Amériques). Compte rendu de la journée d’étude inaugurale du projet de recherche, 10 décembre 2015, Maison de la Recherche, Paris","authors":"J. Amar, Tristan Lebaud, Cecilia Gomes Pires","doi":"10.7202/1043229AR","DOIUrl":"https://doi.org/10.7202/1043229AR","url":null,"abstract":"Le 10 decembre 2015 se tenait a la Maison de la Recherche a Paris la journee d’etude Musique et nation dans l’entre-deux-guerres (Europe-Ameriques). Musicologues et historiens ont questionne l’articulation du fait musical et de l’idee nationale dans les democraties de l’entre-deux guerres. Ce lien avait deja fait l’objet de diverses etudes pour le xixe siecle et les regimes autoritaires. La journee d’etude est la premiere etape d’un projet de recherche international coordonnee par le Centre d’Histoire Culturelle des Societes Contemporaines de l’Universite Versailles Saint-Quentin-en-Yvelines, le laboratoire Synergies Langues Arts musique (slam) de l’Universite d’Evry-Val d’Essonne et l’Institut de Recherche en Musicologie (cnrs, Universite Paris-Sorbonne). Le lien entre « musique et nation » fut a nouveau questionne lors d’un colloque en 2016 a Manchester puis prochainement en octobre 2018 a Montreal.","PeriodicalId":100300,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","volume":"1 1","pages":"216-219"},"PeriodicalIF":0.0,"publicationDate":"2018-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79798179","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
hp-discontinuous Galerkin time-stepping for parabolic problems 抛物型问题的hp不连续Galerkin时间步进
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics Pub Date : 2001-12-15 DOI: 10.1016/S0764-4442(01)02186-3
Dominik Schötzau , Christoph Schwab
{"title":"hp-discontinuous Galerkin time-stepping for parabolic problems","authors":"Dominik Schötzau ,&nbsp;Christoph Schwab","doi":"10.1016/S0764-4442(01)02186-3","DOIUrl":"https://doi.org/10.1016/S0764-4442(01)02186-3","url":null,"abstract":"<div><p>We consider the <em>hp</em>-version of the discontinuous Galerkin (DG) time-stepping method for linear parabolic problems with non-symmetric elliptic spatial operators. We derive new analyticity estimates for the exact solutions by means of semigroup techniques. These estimates allow us to show that the <em>hp</em>-DG time-stepping method can resolve start-up singularities at exponential rates of convergence.</p></div>","PeriodicalId":100300,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","volume":"333 12","pages":"Pages 1121-1126"},"PeriodicalIF":0.0,"publicationDate":"2001-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0764-4442(01)02186-3","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136597050","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
Minimising currents and the stable norm in codimension one 最小电流和余维1的稳定范数
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics Pub Date : 2001-12-15 DOI: 10.1016/S0764-4442(01)02188-7
Franz Auer , Victor Bangert
{"title":"Minimising currents and the stable norm in codimension one","authors":"Franz Auer ,&nbsp;Victor Bangert","doi":"10.1016/S0764-4442(01)02188-7","DOIUrl":"10.1016/S0764-4442(01)02188-7","url":null,"abstract":"<div><p>We analyse the structure of locally minimising closed (<em>n</em>−1)-currents in an <em>n</em>-dimensional Riemannian manifold <em>M</em>. In particular, we prove that such currents are measured laminations by (possibly singular) minimal hypersurfaces. We use ideas from the theory of codimension one singular foliations to decompose these currents. The results are used to investigate the stable norm on <span><math><mtext>H</mtext><msub><mi></mi><mn>n−1</mn></msub><mtext>(M,</mtext><mtext>R</mtext><mtext>)</mtext></math></span>.</p></div>","PeriodicalId":100300,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","volume":"333 12","pages":"Pages 1095-1100"},"PeriodicalIF":0.0,"publicationDate":"2001-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0764-4442(01)02188-7","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83890519","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: 8
Sélection des variables dans un modèle structurel de régression linéaire 结构线性回归模型中的变量选择
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics Pub Date : 2001-12-15 DOI: 10.1016/S0764-4442(01)02184-X
Guy Martial Nkiet
{"title":"Sélection des variables dans un modèle structurel de régression linéaire","authors":"Guy Martial Nkiet","doi":"10.1016/S0764-4442(01)02184-X","DOIUrl":"10.1016/S0764-4442(01)02184-X","url":null,"abstract":"<div><p>Using a criterion for invariance of canonical analysis, we propose a new method for variable selection for linear regression models with random covariates. The convergence of this method is established. A consistent test for the validity of a selected submodel is then proposed.</p></div>","PeriodicalId":100300,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","volume":"333 12","pages":"Pages 1105-1110"},"PeriodicalIF":0.0,"publicationDate":"2001-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0764-4442(01)02184-X","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87052938","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
Quelques résultats nouveaux sur les méthodes de projection 关于投影方法的一些新发现
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics Pub Date : 2001-12-15 DOI: 10.1016/S0764-4442(01)02157-7
Jean-Luc Guermond , Jie Shen
{"title":"Quelques résultats nouveaux sur les méthodes de projection","authors":"Jean-Luc Guermond ,&nbsp;Jie Shen","doi":"10.1016/S0764-4442(01)02157-7","DOIUrl":"10.1016/S0764-4442(01)02157-7","url":null,"abstract":"<div><p>We revisit fractional step projection methods for solving the Navier–Stokes equations. We study a variant of pressure-correction methods and introduce a new class of velocity-correction methods. We prove stability and <span><math><mtext>O</mtext><mtext>(δt</mtext><msup><mi></mi><mn>2</mn></msup><mtext>)</mtext></math></span> convergence in the L<sup>2</sup> norm of the velocity for both variants. We also prove <span><math><mtext>O</mtext><mtext>(δt</mtext><msup><mi></mi><mn>3/2</mn></msup><mtext>)</mtext></math></span> convergence in the H<sup>1</sup> norm of the velocity and the L<sup>2</sup> norm of the pressure. We show that the new family of projection methods can be related to a set of methods introduced in [4,3]. As a result, this Note provides the first rigorous proof of stability and convergence of the methods introduced in [4,3].</p></div>","PeriodicalId":100300,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","volume":"333 12","pages":"Pages 1111-1116"},"PeriodicalIF":0.0,"publicationDate":"2001-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0764-4442(01)02157-7","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80538265","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: 25
Une généralisation de l'approximation de Rayleigh–Ritz 瑞利-里兹近似的推广
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics Pub Date : 2001-12-15 DOI: 10.1016/S0764-4442(01)02127-9
Mickaël Robbé
{"title":"Une généralisation de l'approximation de Rayleigh–Ritz","authors":"Mickaël Robbé","doi":"10.1016/S0764-4442(01)02127-9","DOIUrl":"10.1016/S0764-4442(01)02127-9","url":null,"abstract":"<div><p>We are interested in the approximation of invariant subspaces of large non-Hermitian matrices by the Rayleigh–Ritz procedure. Despite its nonoptimality, this procedure is widely used. We justify, in some sense, its use and derive an a priori error bound that extends Saad's result obtained for eigenvectors in the Hermitian case.</p></div>","PeriodicalId":100300,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","volume":"333 12","pages":"Pages 1117-1120"},"PeriodicalIF":0.0,"publicationDate":"2001-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0764-4442(01)02127-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85166691","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
Tables du tome 333 第 333 卷的表格
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics Pub Date : 2001-12-15 DOI: 10.1016/S0764-4442(01)02210-8
{"title":"Tables du tome 333","authors":"","doi":"10.1016/S0764-4442(01)02210-8","DOIUrl":"https://doi.org/10.1016/S0764-4442(01)02210-8","url":null,"abstract":"","PeriodicalId":100300,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","volume":"333 12","pages":"Pages I-XVI"},"PeriodicalIF":0.0,"publicationDate":"2001-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0764-4442(01)02210-8","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136597051","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
Problèmes de réaction–diffusion–convection dans des cylindres non bornés 无边界钢瓶中的反应-扩散-对流问题
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics Pub Date : 2001-12-15 DOI: 10.1016/S0764-4442(01)02178-4
Rozenn Texier-Picard, Vitaly Volpert
{"title":"Problèmes de réaction–diffusion–convection dans des cylindres non bornés","authors":"Rozenn Texier-Picard,&nbsp;Vitaly Volpert","doi":"10.1016/S0764-4442(01)02178-4","DOIUrl":"10.1016/S0764-4442(01)02178-4","url":null,"abstract":"<div><p>The work is devoted to reaction–diffusion–convection problems in unbounded cylinders. We study the Fredholm property and properness of the corresponding elliptic operators and define the topological degree. Together with analysis of the spectrum of the linearized operators it allows us to study bifurcations of solutions and to prove existence of convective waves. Finally, we make some conclusions about the possible appearance of a “convective instability”.</p></div>","PeriodicalId":100300,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","volume":"333 12","pages":"Pages 1077-1082"},"PeriodicalIF":0.0,"publicationDate":"2001-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0764-4442(01)02178-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87849103","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: 17
Le comportement des oscillations du processus empirique composé 复合经验过程的振荡行为
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics Pub Date : 2001-12-15 DOI: 10.1016/S0764-4442(01)02185-1
Myriam Maumy
{"title":"Le comportement des oscillations du processus empirique composé","authors":"Myriam Maumy","doi":"10.1016/S0764-4442(01)02185-1","DOIUrl":"10.1016/S0764-4442(01)02185-1","url":null,"abstract":"<div><p>In this paper, we establish a limit theorem for the local behavior of compound empirical processes based on two independent sequences of independent and identically distributed random variables. Our proofs rely on Poisson approximation methods.</p></div>","PeriodicalId":100300,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","volume":"333 12","pages":"Pages 1101-1104"},"PeriodicalIF":0.0,"publicationDate":"2001-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0764-4442(01)02185-1","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72640477","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
Algebraic connections on logarithmic schemes 对数格式上的代数联系
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics Pub Date : 2001-12-15 DOI: 10.1016/S0764-4442(01)02189-9
Maurizio Cailotto
{"title":"Algebraic connections on logarithmic schemes","authors":"Maurizio Cailotto","doi":"10.1016/S0764-4442(01)02189-9","DOIUrl":"10.1016/S0764-4442(01)02189-9","url":null,"abstract":"<div><p>In the theory of <span><math><mtext>O</mtext></math></span>-modules with an integrable logarithmic connection in the context of log schemes (over a field of characteristic zero), one of the first problems is that, contrary to the classical case, an object of these categories which is <span><math><mtext>O</mtext></math></span>-coherent is not necessarily locally free. We present some sufficient conditions for the local freeness, based essentially on the notion of residues of a log connection. Then we handle the problem of stability of local freeness under derived direct image for morphisms of log schemes; we prove a generalization of the Deligne–Illusie results on degeneration of the “Hodge to de Rham” spectral sequence, local freeness, compatibility with base change.</p></div>","PeriodicalId":100300,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","volume":"333 12","pages":"Pages 1089-1094"},"PeriodicalIF":0.0,"publicationDate":"2001-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0764-4442(01)02189-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84931305","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: 8
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