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Annales Scientifiques De L Ecole Normale Superieure最新文献

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Flux-limited solutions for quasi-convex Hamilton-Jacobi equations on networks 网络上拟凸Hamilton-Jacobi方程的通量限制解
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2013-06-11 DOI: 10.24033/ASENS.2323
C. Imbert, R. Monneau
{"title":"Flux-limited solutions for quasi-convex Hamilton-Jacobi equations on networks","authors":"C. Imbert, R. Monneau","doi":"10.24033/ASENS.2323","DOIUrl":"https://doi.org/10.24033/ASENS.2323","url":null,"abstract":"We study Hamilton-Jacobi equations on networks in the case where Hamiltonians are quasi-convex with respect to the gradient variable and can be discontinuous with respect to the space variable at vertices. First, we prove that imposing a general vertex condition is equivalent to imposing a specific one which only depends on Hamiltonians and an additional free parameter, the flux limiter. Second, a general method for proving comparison principles is introduced. This method consists in constructing a vertex test function to be used in the doubling variable approach. With such a theory and such a method in hand, we present various applications, among which a very general existence and uniqueness result for quasi-convex Hamilton-Jacobi equations on networks.","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"693 1","pages":"357-448"},"PeriodicalIF":1.9,"publicationDate":"2013-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81795429","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: 83
Varieties of minimal rational tangents of codimension 1 余维数为1的最小有理切线的变换
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2013-01-01 DOI: 10.24033/ASENS.2197
Jun-Muk Hwang
{"title":"Varieties of minimal rational tangents of codimension 1","authors":"Jun-Muk Hwang","doi":"10.24033/ASENS.2197","DOIUrl":"https://doi.org/10.24033/ASENS.2197","url":null,"abstract":"","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"76 1","pages":"629-649"},"PeriodicalIF":1.9,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76830104","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: 12
Erratum à «Sur une conjecture de Kottwitz au bord» 《在边缘的科特威茨猜想》的勘误表
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2013-01-01 DOI: 10.24033/ASENS.2209
B. Stroh
{"title":"Erratum à «Sur une conjecture de Kottwitz au bord»","authors":"B. Stroh","doi":"10.24033/ASENS.2209","DOIUrl":"https://doi.org/10.24033/ASENS.2209","url":null,"abstract":"","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"115 1","pages":"1023-1024"},"PeriodicalIF":1.9,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78726096","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
Erratum to: “Elementary embeddings in torsion-free hyperbolic groups” “无扭双曲群中的初等嵌入”的勘误
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2013-01-01 DOI: 10.24033/ASENS.2203
Chloé Perin
{"title":"Erratum to: “Elementary embeddings in torsion-free hyperbolic groups”","authors":"Chloé Perin","doi":"10.24033/ASENS.2203","DOIUrl":"https://doi.org/10.24033/ASENS.2203","url":null,"abstract":"The notations adopted are those of [Per11]. Proposition 5.11 of [Per11] states that if a torsion-free hyperbolic group A admits a cyclic JSJ-like decomposition Λ, and a non injective morphism f : A → A which restricts to conjugation on each non surface type vertex group, and sends surface type vertex groups to non abelian images, then there is a retraction r : A→ A′ which gives A a structure of hyperbolic floor over A′. Unfortunately, we realised that Proposition 5.11 fails to hold in a few exceptional low complexity cases. The natural modification to overcome this mistake is to proceed to a slight generalization of the notion of hyperbolic floors and hyperbolic towers, which we present in Section 1. As we will see in Section 2, however, this does not affect Theorem 1.2, the main result of the paper. Moreover, Theorem 1.2 is the only result which directly uses Proposition 5.11 in its proof. For a corrected version of the paper, see [Per09]. We sincerely apologize for any confusion caused by this mistake.","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"23 1","pages":"851-856"},"PeriodicalIF":1.9,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85949676","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
Random walks on co-compact fuchsian groups 共紧紫红色群上的随机漫步
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2013-01-01 DOI: 10.24033/ASENS.2186
S. Gouëzel, S. Lalley
{"title":"Random walks on co-compact fuchsian groups","authors":"S. Gouëzel, S. Lalley","doi":"10.24033/ASENS.2186","DOIUrl":"https://doi.org/10.24033/ASENS.2186","url":null,"abstract":"It is proved that the Green's function of a symmetric finite range random walk on a co-compact Fuchsian group decays exponentially in distance at the radius of convergence R. It is also shownthatAncona'sinequalitiesextendtoR,andthereforethattheMartinboundaryforR-potentials coincides with the natural geometric boundary S 1 , and that the Martin kernel is uniformly Holder continuous. Finally, this implies a local limit theorem for the transition probabilities: in the aperiodic case, p n (x;y) Cx;yR n n 3=2 .","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"1 1","pages":"131-175"},"PeriodicalIF":1.9,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72729769","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: 43
Stokes Resolvent Estimates in Spaces of Bounded Functions 有界函数空间中的Stokes可解估计
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2012-11-12 DOI: 10.24033/ASENS.2251
K. Abe, Y. Giga, Matthias Hieber
{"title":"Stokes Resolvent Estimates in Spaces of Bounded Functions","authors":"K. Abe, Y. Giga, Matthias Hieber","doi":"10.24033/ASENS.2251","DOIUrl":"https://doi.org/10.24033/ASENS.2251","url":null,"abstract":"We give a direct proof for the analyticity of the Stokes semigroup in spaces of bounded functions. This was recently proved by an indirect argument by the first and second authors for a class of domains called strictly admissible domains including bounded and exterior domains. Invoking the strictly admissibility, our approach is based on an adjustment of a standard resolvent estimate method for general elliptic operators introduced by K. Masuda (1972) and H. B. Stewart (1974). The resolvent approach in particular clarifies the sectorial region, Re z > 0 for z ∈ C for which the Stokes semigroup has an analytic continuation in spaces of bounded functions.","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"8 1","pages":"537-559"},"PeriodicalIF":1.9,"publicationDate":"2012-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89752526","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: 51
Semi-positivity in positive characteristics 正性特征中的半正性
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2012-08-27 DOI: 10.24033/ASENS.2232
Z. Patakfalvi
{"title":"Semi-positivity in positive characteristics","authors":"Z. Patakfalvi","doi":"10.24033/ASENS.2232","DOIUrl":"https://doi.org/10.24033/ASENS.2232","url":null,"abstract":"Reference EPFL-ARTICLE-231106doi:10.24033/asens.2232 URL: http://dx.doi.org/10.24033/asens.2232 Record created on 2017-09-19, modified on 2017-10-02","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"38 1","pages":"991-1025"},"PeriodicalIF":1.9,"publicationDate":"2012-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78134610","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: 61
FORMES MODULAIRES DE HILBERT MODULO p ET VALEURS D'EXTENSIONS GALOISIENNES 希尔伯特模形式p模和伽罗sian扩展的值
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2012-08-27 DOI: 10.24033/asens.2230
C. Breuil, Fred Diamond
{"title":"FORMES MODULAIRES DE HILBERT MODULO p ET VALEURS D'EXTENSIONS GALOISIENNES","authors":"C. Breuil, Fred Diamond","doi":"10.24033/asens.2230","DOIUrl":"https://doi.org/10.24033/asens.2230","url":null,"abstract":"Resume. — Soit F un corps totalement reel, v une place de F non ramifiee di- visant p et ρ : Gal(Q/F) → GL2(Fp) une representation continue irreductible dont la restriction ρ| Gal(Fv/Fv) est reductible et suffisamment generique. Siρ est modu- laire (et satisfait quelques conditions techniques faibles), nous montrons comment retrouver l'extension correspondante entre les deux caracteres de Gal(Fv/Fv) en terme de l'action de GL2(Fv) sur la cohomologie modulo p. Abstract. — Let F be a totally real field, v an unramified place of F dividing p and ρ : Gal(Q/F) → GL2(Fp) a continuous irreducible representation such that ρ| Gal(Fv/Fv) is reducible and sufficiently generic. Ifρ is modular (and satisfies some weak technical assumptions), we show how to recover the corresponding extension between the two characters of Gal(Fv/Fv) in terms of the action of GL2(Fv) on the cohomology mod p.","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"51 1","pages":"905-974"},"PeriodicalIF":1.9,"publicationDate":"2012-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73239892","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: 32
Viscous boundary layers in hyperbolic-parabolic systems with Neumann boundary conditions 具有Neumann边界条件的双曲抛物型系统中的粘性边界层
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2012-07-29 DOI: 10.24033/ASENS.2213
O. Guès, G. Métivier, Mark E. Williams, K. Zumbrun
{"title":"Viscous boundary layers in hyperbolic-parabolic systems with Neumann boundary conditions","authors":"O. Guès, G. Métivier, Mark E. Williams, K. Zumbrun","doi":"10.24033/ASENS.2213","DOIUrl":"https://doi.org/10.24033/ASENS.2213","url":null,"abstract":"We initiate the study of noncharacteristic boundary layers in hyperbolic-parabolic problems with Neumann boundary conditions. More generally, we study boundary layers with mixed Dirichlet{Neumann boundary conditions where the number of Dirichlet conditions is fewer than the number of hyperbolic characteristic modes entering the domain, that is, the number of boundary conditions needed to specify an outer hyperbolic solution. We have shown previously that this situation prevents the usual WKB approximation involving an outer solution with pure Dirichlet conditions. It also rules out the usual maximal estimates for the linearization of the hyperbolic-parabolic problem about the boundary layer. Here we show that for linear, constant-coecien t, hyperbolic-parabolic problems one obtains a reduced hyperbolic problem satisfying Neumann or mixed Dirichlet{Neumann rather than Dirichlet boundary conditions. When this hyperbolic problem can be solved, a unique formal boundary-layer expansion can be constructed. In the extreme case of pure Neumann conditions and totally incoming characteristics, we carry out a full analysis of the quasilinear case, obtaining a boundary-layer approximation to all orders with a rigorous error analysis. As a corollary we characterize the small viscosity limit for this problem. The analysis shows that although the associated linearized hyperbolic and hyperbolic{parabolic problems do not satisfy the usual maximal estimates for Dirichlet conditions, they do satisfy analogous versions with losses. Couches limites visqueuses pour des syst emes hyperboliques{paraboliques avec condition aux limites de Neumann","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"4 1","pages":"181-243"},"PeriodicalIF":1.9,"publicationDate":"2012-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76054984","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
Karoubi's relative Chern character and Beilinson's regulator 卡鲁比的相对陈氏性格和贝林森的调节器
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2012-07-01 DOI: 10.24033/ASENS.2174
Georg Tamme
{"title":"Karoubi's relative Chern character and Beilinson's regulator","authors":"Georg Tamme","doi":"10.24033/ASENS.2174","DOIUrl":"https://doi.org/10.24033/ASENS.2174","url":null,"abstract":"We construct a variant of Karoubi's relative Chern character for smooth varieties over C and prove a comparison result with Beilinson's regulator with values in Deligne-Beilinson cohomology. As a corollary we obtain a new proof of Burgos' Theorem that for number fields Borel's regulator is twice Beilinson's regulator.","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"84 2 1","pages":"601-636"},"PeriodicalIF":1.9,"publicationDate":"2012-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89605228","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
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