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Annales Scientifiques De L Ecole Normale Superieure最新文献

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$p$-adic analytic twists and strong subconvexity $p$进解析扭曲和强次凸性
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2015-01-01 DOI: 10.24033/ASENS.2252
V. Blomer, Djordje Milićević
{"title":"$p$-adic analytic twists and strong subconvexity","authors":"V. Blomer, Djordje Milićević","doi":"10.24033/ASENS.2252","DOIUrl":"https://doi.org/10.24033/ASENS.2252","url":null,"abstract":"","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"1 1","pages":"561-605"},"PeriodicalIF":1.9,"publicationDate":"2015-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87955550","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: 34
Inverse problems in multifractal analysis of measures 测度多重分形分析中的逆问题
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2015-01-01 DOI: 10.24033/ASENS.2274
J. Barral
{"title":"Inverse problems in multifractal analysis of measures","authors":"J. Barral","doi":"10.24033/ASENS.2274","DOIUrl":"https://doi.org/10.24033/ASENS.2274","url":null,"abstract":"","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"163 5 1","pages":"1457-1510"},"PeriodicalIF":1.9,"publicationDate":"2015-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86670076","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: 9
Elliptic estimates in composite media with smooth inclusions: an integral equation approach 含光滑夹杂的复合介质的椭圆估计:一种积分方程方法
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2015-01-01 DOI: 10.24033/ASENS.2249
H. Ammari, E. Bonnetier, Faouzi Triki, M. Vogelius
{"title":"Elliptic estimates in composite media with smooth inclusions: an integral equation approach","authors":"H. Ammari, E. Bonnetier, Faouzi Triki, M. Vogelius","doi":"10.24033/ASENS.2249","DOIUrl":"https://doi.org/10.24033/ASENS.2249","url":null,"abstract":"We consider a scalar elliptic equation for a composite medium consisting of homogeneous C^{1, α0} inclusions, 0< α0≤ 1, embedded in a constant matrix phase. When the inclusions are separated and are separated from the boundary, the solution has an integral representation, in terms of potential functions defined on the boundary of each inclusion. We study the system of integral equations satisfied by these potential functions as the distance between two inclusions tends to 0. We show that the potential functionsunctions converge in C^{0,α}, 0< α < α0 to limiting potential functions, with which one can represent the solution when the inclusions are touching. As a consequence, we obtain uniform C^{1,α} bounds on the solution, which are independent of the inter-inclusion distances.","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"24 1","pages":"453-495"},"PeriodicalIF":1.9,"publicationDate":"2015-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75283445","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: 36
A scattering theory for the wave equation on kerr black hole exteriors 克尔黑洞外部波动方程的散射理论
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2014-12-29 DOI: 10.24033/asens.2358
Mihalis Dafermos, I. Rodnianski, Yakov Shlapentokh-Rothman
{"title":"A scattering theory for the wave equation on kerr black hole exteriors","authors":"Mihalis Dafermos, I. Rodnianski, Yakov Shlapentokh-Rothman","doi":"10.24033/asens.2358","DOIUrl":"https://doi.org/10.24033/asens.2358","url":null,"abstract":"We develop a definitive physical-space scattering theory for the scalar wave equation on Kerr exterior backgrounds in the general subextremal case |a|<M. In particular, we prove results corresponding to \"existence and uniqueness of scattering states\" and \"asymptotic completeness\" and we show moreover that the resulting \"scattering matrix\" mapping radiation fields on the past horizon and past null infinity to radiation fields on the future horizon and future null infinity is a bounded operator. The latter allows us to give a time-domain theory of superradiant reflection. The boundedness of the scattering matrix shows in particular that the maximal amplification of solutions associated to ingoing finite-energy wave packets on past null infinity is bounded. On the frequency side, this corresponds to the novel statement that the suitably normalised reflection and transmission coefficients are uniformly bounded independently of the frequency parameters. We further complement this with a demonstration that superradiant reflection indeed amplifies the energy radiated to future null infinity of suitable wave-packets as above. The results make essential use of a refinement of our recent proof [M. Dafermos, I. Rodnianski and Y. Shlapentokh-Rothman, Decay for solutions of the wave equation on Kerr exterior spacetimes III: the full subextremal case |a|<M, arXiv:1402.6034] of boundedness and decay for solutions of the Cauchy problem so as to apply in the class of solutions where only a degenerate energy is assumed finite. We show in contrast that the analogous scattering maps cannot be defined for the class of finite non-degenerate energy solutions. This is due to the fact that the celebrated horizon red-shift effect acts as a blue-shift instability when solving the wave equation backwards.","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"89 1","pages":"371-486"},"PeriodicalIF":1.9,"publicationDate":"2014-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85637528","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: 59
Characterizations of rectifiable metric measure spaces 可整流度量空间的表征
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2014-09-15 DOI: 10.24033/asens.2314
David Bate, Sean Li
{"title":"Characterizations of rectifiable metric measure spaces","authors":"David Bate, Sean Li","doi":"10.24033/asens.2314","DOIUrl":"https://doi.org/10.24033/asens.2314","url":null,"abstract":"We characterize n-rectifiable metric measure spaces as those spaces that admit a countable Borel decomposition so that each piece has positive and finite n-densities and one of the following : is an n-dimensional Lipschitz differentiability space ; has n-independent Alberti representations ; satisfies David's condition for an n-dimensional chart. The key tool is an iterative grid construction which allows us to show that the image of a ball with a high density of curves from the Alberti representations under a chart map contains a large portion of a uniformly large ball and hence satisfies David's condition. This allows us to apply modified versions of previously known ‘biLipschitz pieces' results on the charts.","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"2 1","pages":"1-37"},"PeriodicalIF":1.9,"publicationDate":"2014-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74245551","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: 21
Reduction of symplectic homeomorphisms 辛同胚的约简
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2014-07-23 DOI: 10.24033/asens.2292
Vincent Humilière, R. Leclercq, Sobhan Seyfaddini
{"title":"Reduction of symplectic homeomorphisms","authors":"Vincent Humilière, R. Leclercq, Sobhan Seyfaddini","doi":"10.24033/asens.2292","DOIUrl":"https://doi.org/10.24033/asens.2292","url":null,"abstract":"In our previous article, we proved that symplectic homeomorphisms preserving a coisotropic submanifold C, preserve its characteristic foliation as well. As a consequence, such symplectic homeomorphisms descend to the reduction of the coisotropic C. In this article we show that these reduced homeomorphisms continue to exhibit certain symplectic properties. In particular, in the specific setting where the symplectic manifold is a torus and the coisotropic is a standard subtorus, we prove that the reduced homeomorphism preserves spectral invariants and hence the spectral capacity.","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"518 1","pages":"633-668"},"PeriodicalIF":1.9,"publicationDate":"2014-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77164737","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: 16
A Floer fundamental group 花的基本群
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2014-04-12 DOI: 10.24033/asens.2366
J. Barraud
{"title":"A Floer fundamental group","authors":"J. Barraud","doi":"10.24033/asens.2366","DOIUrl":"https://doi.org/10.24033/asens.2366","url":null,"abstract":"The main purpose of this paper is to provide a description of the fundamental group of a symplectic manifold in terms of Floer theoretic objects. As an application, we show that when counted with a suitable notion of multiplicity, non degenerate Hamiltonian diffeomorphisms have enough fixed points to generate the fundamental group.","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"62 1","pages":"773-809"},"PeriodicalIF":1.9,"publicationDate":"2014-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90413911","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: 9
La réalisation étale et les opérations de Grothendieck 架子的实现和格罗腾迪克的操作
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2014-02-01 DOI: 10.24033/ASENS.2210
J. Ayoub
{"title":"La réalisation étale et les opérations de Grothendieck","authors":"J. Ayoub","doi":"10.24033/ASENS.2210","DOIUrl":"https://doi.org/10.24033/ASENS.2210","url":null,"abstract":"In this article, we construct etale realization functors defined on the categories DAet(X, Λ) of etale motives (without transfers) over a scheme X. Our construction is natural and relies on a relative rigidity theorem a la Suslin-Voevodsky that we will establish first. Then, we show that these realization functors are compatible with Grothendieck operations and the \"nearby cycles\" functors. Along the way, we prove a number of properties concerning etale motives.","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"7 1","pages":"1-145"},"PeriodicalIF":1.9,"publicationDate":"2014-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74766802","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: 109
Diagonal cycles and Euler systems I: A $p$-adic Gross-Zagier formula 对角循环与欧拉系统I: A $p$-adic Gross-Zagier公式
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2014-01-01 DOI: 10.24033/ASENS.2227
H. Darmon, V. Rotger
{"title":"Diagonal cycles and Euler systems I: A $p$-adic Gross-Zagier formula","authors":"H. Darmon, V. Rotger","doi":"10.24033/ASENS.2227","DOIUrl":"https://doi.org/10.24033/ASENS.2227","url":null,"abstract":"This article is the first in a series devoted to studying generalised Gross-KudlaSchoen diagonal cycles in the product of three Kuga-Sato varieties and the Euler system properties of the associated Selmer classes, with special emphasis on their application to the Birch–Swinnerton-Dyer conjecture and the theory of Stark-Heegner points. The basis for the entire study is a p-adic formula of Gross-Zagier type which relates the images of these diagonal cycles under the p-adic Abel-Jacobi map to special values of certain p-adic Lfunctions attached to the Garrett-Rankin triple convolution of three Hida families of modular forms. The main goal of this article is to describe and prove this formula. Cet article est le premier d’une serie consacree aux cycles de Gross-Kudla-Schoen generalises appartenant aux groupes de Chow de produits de trois varietes de Kuga-Sato, et aux systemes d’Euler qui leur sont associes. La serie au complet repose sur une variante p-adique de la formule de Gross-Zagier qui relie l’image des cycles de Gross-Kudla-Schoen par l’application d’Abel-Jacobi p-adique aux valeurs speciales de certaines fonctions L p-adiques attachees a la convolution de Garrett-Rankin de trois familles de Hida de formes modulaires cuspidales. L’objectif principal de cet article est de decrire et de demontrer cette variante. MSC: 11F12, 11G05, 11G35, 11G40.","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"134 1","pages":"779-832"},"PeriodicalIF":1.9,"publicationDate":"2014-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76721502","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: 105
Composantes connexes géométriques de la tour des espaces de modules de groupes $p$-divisibles 群模空间的塔相关几何分量$p$-可整除
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2014-01-01 DOI: 10.24033/ASENS.2225
Miaofen Chen
{"title":"Composantes connexes géométriques de la tour des espaces de modules de groupes $p$-divisibles","authors":"Miaofen Chen","doi":"10.24033/ASENS.2225","DOIUrl":"https://doi.org/10.24033/ASENS.2225","url":null,"abstract":"Let M̆ be an unramified Rapoport-Zink space of EL type or unitary/symplectic PEL type. Let (M̆K)K be the tower of Berkovich’s analytic spaces classifying the level structures over the generic fiber of M̆. In [Che13], we have defined a determinant morphism detK from the tower (M̆K)K to a tower of Berkovich’s analytic spaces of dimension 0 associated to the cocenter of the reductive group related to the space M̆. Suppose that the Newton polygon and Hodge polygon related to M̆ don’t touch each other except their end point. And suppose that a conjecture on the set of connected components of the reduced special fiber of M̆ holds. Then we prove that the geometric fibers of the determinant morphism detK are the geometrically connected components of M̆K . The conjecture in the hypothesis will be confirmed in a paper in preparation by Kisin, Viehmann and the author.","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"24 1","pages":"723-764"},"PeriodicalIF":1.9,"publicationDate":"2014-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78600408","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
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