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  Subjects -> MATHEMATICS (Total: 889 journals)
    - APPLIED MATHEMATICS (73 journals)
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    - MATHEMATICS (658 journals)
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MATHEMATICS (658 journals)                  1 2 3 4 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 4)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 3)
Academic Voices : A Multidisciplinary Journal     Open Access   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 7)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 16)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 4)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Full-text available via subscription   (Followers: 25)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 11)
Acta Mathematica Hungarica     Hybrid Journal   (Followers: 2)
Acta Mathematica Scientia     Full-text available via subscription   (Followers: 5)
Acta Mathematica Sinica, English Series     Hybrid Journal   (Followers: 6)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 9)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 3)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 2)
Advances in Catalysis     Full-text available via subscription   (Followers: 5)
Advances in Complex Systems     Hybrid Journal   (Followers: 7)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 15)
Advances in Decision Sciences     Open Access   (Followers: 5)
Advances in Difference Equations     Open Access   (Followers: 2)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 10)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 2)
Advances in Materials Sciences     Open Access   (Followers: 16)
Advances in Mathematical Physics     Open Access   (Followers: 5)
Advances in Mathematics     Full-text available via subscription   (Followers: 10)
Advances in Numerical Analysis     Open Access   (Followers: 4)
Advances in Operations Research     Open Access   (Followers: 11)
Advances in Porous Media     Full-text available via subscription   (Followers: 4)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 6)
Advances in Pure Mathematics     Open Access   (Followers: 4)
Advances in Science and Research (ASR)     Open Access   (Followers: 6)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 5)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 4)
Afrika Matematika     Hybrid Journal   (Followers: 1)
Air, Soil & Water Research     Open Access   (Followers: 9)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access  
Algebra and Logic     Hybrid Journal   (Followers: 4)
Algebra Colloquium     Hybrid Journal   (Followers: 4)
Algebra Universalis     Hybrid Journal   (Followers: 2)
Algorithmic Operations Research     Full-text available via subscription   (Followers: 5)
Algorithms     Open Access   (Followers: 11)
Algorithms Research     Open Access   (Followers: 1)
American Journal of Biostatistics     Open Access   (Followers: 9)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 4)
American Journal of Mathematical Analysis     Open Access  
American Journal of Mathematics     Full-text available via subscription   (Followers: 7)
American Journal of Operations Research     Open Access   (Followers: 5)
American Mathematical Monthly     Full-text available via subscription   (Followers: 6)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 7)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access   (Followers: 1)
Analysis     Hybrid Journal   (Followers: 2)
Analysis and Applications     Hybrid Journal   (Followers: 1)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 3)
Analysis Mathematica     Full-text available via subscription  
Annales Mathematicae Silesianae     Open Access  
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales UMCS, Mathematica     Open Access   (Followers: 1)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica     Open Access  
Annali di Matematica Pura ed Applicata     Hybrid Journal   (Followers: 1)
Annals of Combinatorics     Hybrid Journal   (Followers: 3)
Annals of Data Science     Hybrid Journal   (Followers: 11)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 6)
Annals of Mathematics     Full-text available via subscription  
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 7)
Annals of Pure and Applied Logic     Open Access   (Followers: 2)
Annals of the Alexandru Ioan Cuza University - Mathematics     Open Access  
Annals of the Institute of Statistical Mathematics     Hybrid Journal   (Followers: 1)
Annals of West University of Timisoara - Mathematics     Open Access  
Annuaire du Collège de France     Open Access   (Followers: 5)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 2)
Applications of Mathematics     Hybrid Journal   (Followers: 1)
Applied Categorical Structures     Hybrid Journal   (Followers: 2)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 12)
Applied Mathematics     Open Access   (Followers: 3)
Applied Mathematics     Open Access   (Followers: 4)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 4)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal  
Applied Mathematics Letters     Full-text available via subscription   (Followers: 1)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Network Science     Open Access   (Followers: 1)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 4)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 3)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 1)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 5)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 4)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites : The Journal of Space Research Centre of Polish Academy of Sciences     Open Access   (Followers: 20)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Journal of Current Engineering & Maths     Open Access  
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 2)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 3)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 1)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access  
Baltic International Yearbook of Cognition, Logic and Communication     Open Access  
Basin Research     Hybrid Journal   (Followers: 5)
BIBECHANA     Open Access   (Followers: 2)
BIT Numerical Mathematics     Hybrid Journal  
BoEM - Boletim online de Educação Matemática     Open Access  
Boletim Cearense de Educação e História da Matemática     Open Access  
Boletim de Educação Matemática     Open Access  
Boletín de la Sociedad Matemática Mexicana     Hybrid Journal  
Bollettino dell'Unione Matematica Italiana     Full-text available via subscription   (Followers: 1)
British Journal of Mathematical and Statistical Psychology     Full-text available via subscription   (Followers: 21)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 9)
Bulletin des Sciences Mathamatiques     Full-text available via subscription   (Followers: 4)
Bulletin of Dnipropetrovsk University. Series : Communications in Mathematical Modeling and Differential Equations Theory     Open Access   (Followers: 1)
Bulletin of Mathematical Sciences     Open Access   (Followers: 1)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 3)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Calculus of Variations and Partial Differential Equations     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 20)
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal   (Followers: 1)
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
ChemSusChem     Hybrid Journal   (Followers: 7)
Chinese Annals of Mathematics, Series B     Hybrid Journal  
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 2)
Chinese Journal of Mathematics     Open Access  
Clean Air Journal     Full-text available via subscription   (Followers: 2)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 4)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Full-text available via subscription   (Followers: 3)
COMBINATORICA     Hybrid Journal  
Combustion Theory and Modelling     Hybrid Journal   (Followers: 13)
Commentarii Mathematici Helvetici     Hybrid Journal   (Followers: 1)
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 1)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 3)
Complex Analysis and its Synergies     Open Access   (Followers: 2)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Complexus     Full-text available via subscription  
Composite Materials Series     Full-text available via subscription   (Followers: 9)
Comptes Rendus Mathematique     Full-text available via subscription   (Followers: 1)
Computational and Applied Mathematics     Hybrid Journal   (Followers: 2)
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 2)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 2)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 8)
Computational Mechanics     Hybrid Journal   (Followers: 4)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 7)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 6)
Concrete Operators     Open Access   (Followers: 4)
Confluentes Mathematici     Hybrid Journal  
COSMOS     Hybrid Journal  
Cryptography and Communications     Hybrid Journal   (Followers: 14)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Demographic Research     Open Access   (Followers: 11)
Demonstratio Mathematica     Open Access  
Dependence Modeling     Open Access  
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 28)
Developments in Clay Science     Full-text available via subscription   (Followers: 1)
Developments in Mineral Processing     Full-text available via subscription   (Followers: 3)
Dhaka University Journal of Science     Open Access  
Differential Equations and Dynamical Systems     Hybrid Journal   (Followers: 3)
Discrete Mathematics     Hybrid Journal   (Followers: 8)
Discrete Mathematics & Theoretical Computer Science     Open Access  
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Dnipropetrovsk University Mathematics Bulletin     Open Access  
Doklady Mathematics     Hybrid Journal  
Duke Mathematical Journal     Full-text available via subscription   (Followers: 1)
Eco Matemático     Open Access  
Edited Series on Advances in Nonlinear Science and Complexity     Full-text available via subscription  
Electronic Journal of Differential Equations     Open Access  
Electronic Journal of Graph Theory and Applications     Open Access   (Followers: 2)
Electronic Notes in Discrete Mathematics     Full-text available via subscription   (Followers: 2)
Elemente der Mathematik     Full-text available via subscription   (Followers: 3)
Energy for Sustainable Development     Hybrid Journal   (Followers: 9)
Enseñanza de las Ciencias : Revista de Investigación y Experiencias Didácticas     Open Access  
Ensino da Matemática em Debate     Open Access  
Entropy     Open Access   (Followers: 5)
ESAIM: Control Optimisation and Calculus of Variations     Full-text available via subscription   (Followers: 1)
European Journal of Combinatorics     Full-text available via subscription   (Followers: 5)
European Journal of Mathematics     Hybrid Journal   (Followers: 1)
European Scientific Journal     Open Access   (Followers: 2)
Experimental Mathematics     Hybrid Journal   (Followers: 4)
Expositiones Mathematicae     Hybrid Journal   (Followers: 2)
Facta Universitatis, Series : Mathematics and Informatics     Open Access  
Fasciculi Mathematici     Open Access  

        1 2 3 4 | Last

Journal Cover Comptes Rendus Mathematique
  [SJR: 1.154]   [H-I: 46]   [1 followers]  Follow
    
   Full-text available via subscription Subscription journal
   ISSN (Print) 1631-073X
   Published by Elsevier Homepage  [3049 journals]
  • Varieties generated by unstable involution semigroups with continuum many
           subvarieties
    • Abstract: Publication date: Available online 13 December 2017
      Source:Comptes Rendus Mathematique
      Author(s): Edmond W.H. Lee
      Over the years, several finite semigroups have been found to generate varieties with continuum many subvarieties. However, finite involution semigroups that generate varieties with continuum many subvarieties seem much rarer; in fact, only one example—an inverse semigroup of order 165—has so far been published. Nevertheless, it is shown in the present article that there are many smaller examples among involution semigroups that are unstable in the sense that the varieties they generate contain some involution semilattice with nontrivial unary operation. The most prominent examples are the unstable finite involution semigroups that are inherently non-finitely based, the smallest ones of which are of order six. It follows that the join of two finitely generated varieties of involution semigroups with finitely many subvarieties can contain continuum many subvarieties.

      PubDate: 2017-12-13T06:00:51Z
       
  • Frames of exponentials and sub-multitiles in LCA groups
    • Abstract: Publication date: Available online 12 December 2017
      Source:Comptes Rendus Mathematique
      Author(s): Davide Barbieri, Carlos Cabrelli, Eugenio Hernández, Peter Luthy, Ursula Molter, Carolina Mosquera
      In this note, we investigate the existence of frames of exponentials for L 2 ( Ω ) in the setting of LCA groups. Our main result shows that sub-multitiling properties of Ω ⊂ G ˆ with respect to a uniform lattice Γ of G ˆ guarantee the existence of a frame of exponentials with frequencies in a finite number of translates of the annihilator of Γ. We also prove the converse of this result and provide conditions for the existence of these frames. These conditions extend recent results on Riesz bases of exponentials and multitilings to frames.

      PubDate: 2017-12-13T06:00:51Z
       
  • A note on weighted bounds for rough singular integrals
    • Abstract: Publication date: Available online 8 December 2017
      Source:Comptes Rendus Mathematique
      Author(s): Andrei K. Lerner
      We show that the L 2 ( w ) operator norm of the composition M ∘ T Ω , where M is the maximal operator and T Ω is a rough homogeneous singular integral with angular part Ω ∈ L ∞ ( S n − 1 ) , depends quadratically on [ w ] A 2 , and that this dependence is sharp.

      PubDate: 2017-12-13T06:00:51Z
       
  • On the ordinariness of coverings of stable curves
    • Abstract: Publication date: Available online 6 December 2017
      Source:Comptes Rendus Mathematique
      Author(s): Yu Yang
      In the present paper, we study the ordinariness of coverings of stable curves. Let f : Y → X be a morphism of stable curves over a discrete valuation ring R with algebraically closed residue field of characteristic p > 0 . Write S for Spec R and η (resp. s) for the generic point (resp. closed point) of S. Suppose that the generic fiber X η of X is smooth over η, that the morphism f η : Y η → X η over η on the generic fiber induced by f is a Galois étale covering (hence Y η is smooth over η too) whose Galois group is a solvable group G, that the genus of the normalization of each irreducible component of the special fiber X s is ≥2, and that Y s is ordinary. Then we have that the morphism f s : Y s → X s over s induced by f is an admissible covering. This result extends a result of M. Raynaud concerning the ordinariness of coverings to the case where X s is a stable curve. If, moreover, we suppose that G is a p-group, and that the p-rank of the normalization of each irreducible component of X s is ≥2, we can give a numerical criterion for the admissibility of f s .

      PubDate: 2017-12-13T06:00:51Z
       
  • Powerful numbers in
           (1ℓ+qℓ)(2ℓ+qℓ)⋯(nℓ+qℓ)
    • Abstract: Publication date: Available online 6 December 2017
      Source:Comptes Rendus Mathematique
      Author(s): Quan-Hui Yang, Qing-Qing Zhao
      Let q be a positive integer. Recently, Niu and Liu proved that, if n ≥ max ⁡ { q , 1198 − q } , then the product ( 1 3 + q 3 ) ( 2 3 + q 3 ) ⋯ ( n 3 + q 3 ) is not a powerful number. In this note, we prove (1) that, for any odd prime power ℓ and n ≥ max ⁡ { q , 11 − q } , the product ( 1 ℓ + q ℓ ) ( 2 ℓ + q ℓ ) ⋯ ( n ℓ + q ℓ ) is not a powerful number, and (2) that, for any positive odd integer ℓ, there exists an integer N q , ℓ such that, for any positive integer n ≥ N q , ℓ , the product ( 1 ℓ + q ℓ ) ( 2 ℓ + q ℓ ) ⋯ ( n ℓ + q ℓ ) is not a powerful number.

      PubDate: 2017-12-13T06:00:51Z
       
  • Symmetric group representations and Z
    • Abstract: Publication date: Available online 6 December 2017
      Source:Comptes Rendus Mathematique
      Author(s): Anshul Adve, Alexander Yong
      We discuss implications of the following statement about representation theory of symmetric groups: every integer appears infinitely often as an irreducible character evaluation and every nonnegative integer appears infinitely often as a Littlewood–Richardson coefficient and as a Kronecker coefficient.

      PubDate: 2017-12-13T06:00:51Z
       
  • Plethysm and fast matrix multiplication
    • Abstract: Publication date: Available online 6 December 2017
      Source:Comptes Rendus Mathematique
      Author(s): Tim Seynnaeve
      Motivated by the symmetric version of matrix multiplication we study the plethysm S k ( sl n ) of the adjoint representation sl n of the Lie group S L n . In particular, we describe the decomposition of this representation into irreducible components for k = 3 , and find highest-weight vectors for all irreducible components. Relations to fast matrix multiplication, in particular the Coppersmith–Winograd tensor, are presented.

      PubDate: 2017-12-13T06:00:51Z
       
  • Lah numbers and Lindström's lemma
    • Abstract: Publication date: Available online 6 December 2017
      Source:Comptes Rendus Mathematique
      Author(s): Ivica Martinjak, Riste Škrekovski
      We provide a combinatorial interpretation of Lah numbers by means of planar networks. Henceforth, as a consequence of Lindström's lemma, we conclude that the related Lah matrix possesses a remarkable property of total non-negativity.

      PubDate: 2017-12-13T06:00:51Z
       
  • CM fields with a reciprocal unit-primitive element
    • Abstract: Publication date: Available online 6 December 2017
      Source:Comptes Rendus Mathematique
      Author(s): Cornelius Greither, Toufik Zaïmi
      Let K be a noncyclotomic CM field. We show that the field K ∩ R has a reciprocal unit-primitive element when K does. Also, we prove some related conditions that make the converse of this assertion true.

      PubDate: 2017-12-13T06:00:51Z
       
  • Formality theorem for differential graded manifolds
    • Abstract: Publication date: Available online 6 December 2017
      Source:Comptes Rendus Mathematique
      Author(s): Hsuan-Yi Liao, Mathieu Stiénon, Ping Xu
      We establish a formality theorem for smooth dg manifolds. More precisely, we prove that, for any finite-dimensional dg manifold ( M , Q ) , there exists an L ∞ quasi-isomorphism of dglas from ( T poly • ⊕ ( M ) , [ Q , − ] , [ − , − ] ) to ( D poly • ⊕ ( M ) , 〚 m + Q , − 〛 , 〚 − , − 〛 ) whose first Taylor coefficient (1) is equal to the composition hkr ∘ ( td ( M , Q ) ∇ ) 1 2 : T poly • ⊕ ( M ) → D poly • ⊕ ( M ) of the action of ( td ( M , Q ) ∇ ) 1 2 ∈ ∏ k ≥ 0 ( Ω k ( M ) ) k on T poly • ⊕ ( M ) (by contraction) with the Hochschild–Kostant–Rosenberg map and (2) preserves the associative algebra structures on the level of cohomology. As an application, we prove the Kontsevich–Shoikhet conjecture: a Kontsevich–Duflo-type theorem holds for all finite-dimensional smooth dg manifolds.

      PubDate: 2017-12-13T06:00:51Z
       
  • Compact simple Lie groups admitting left-invariant Einstein metrics that
           are not geodesic orbit
    • Abstract: Publication date: Available online 6 December 2017
      Source:Comptes Rendus Mathematique
      Author(s): Huibin Chen, Zhiqi Chen, Shaoqiang Deng
      In this article, we prove that the compact simple Lie groups S U ( n ) for n ≥ 6 , S O ( n ) for n ≥ 7 , S p ( n ) for n ≥ 3 , E 6 , E 7 , E 8 , and F 4 admit left-invariant Einstein metrics that are not geodesic orbit. This gives a positive answer to an open problem recently posed by Nikonorov.

      PubDate: 2017-12-13T06:00:51Z
       
  • Dossier Sommaire
    • Abstract: Publication date: December 2017
      Source:Comptes Rendus Mathematique, Volume 355, Issue 12


      PubDate: 2017-12-13T06:00:51Z
       
  • Une identité pour des polynômes d'Appell
    • Abstract: Publication date: December 2017
      Source:Comptes Rendus Mathematique, Volume 355, Issue 12
      Author(s): Farid Bencherif, Benali Benzaghou, Schehrazade Zerroukhat
      Dans cet article, nous établissons une identité pour des polynômes d'Appell généralisant des formules explicites pour les nombres et polynômes de Bernoulli généralisés. In this paper, we establish an identity for some Appell polynomials generalizing explicit formulas for generalized Bernoulli numbers and polynomials.

      PubDate: 2017-12-13T06:00:51Z
       
  • Derived invariance of the cap product in Hochschild theory
    • Abstract: Publication date: December 2017
      Source:Comptes Rendus Mathematique, Volume 355, Issue 12
      Author(s): Marco Antonio Armenta, Bernhard Keller
      We prove the derived invariance of the cap product for associative algebras projective over a commutative ring.

      PubDate: 2017-12-13T06:00:51Z
       
  • Almost automorphic solutions to logistic equations with discrete and
           continuous delay
    • Abstract: Publication date: December 2017
      Source:Comptes Rendus Mathematique, Volume 355, Issue 12
      Author(s): Nadia Drisi, Brahim Es-sebbar
      We obtain sufficient conditions for the existence and uniqueness of a positive compact almost automorphic solution to a logistic equation with discrete and continuous delay. Moreover, we provide a counterexample to some results in literature which deal with the uniqueness of almost periodic solutions to logistic type equations.

      PubDate: 2017-12-13T06:00:51Z
       
  • Non-null-controllability of the Grushin operator in 2D
    • Abstract: Publication date: December 2017
      Source:Comptes Rendus Mathematique, Volume 355, Issue 12
      Author(s): Armand Koenig
      We are interested in the exact null controllability of the equation ∂ t f − ∂ x 2 f − x 2 ∂ y 2 f = 1 ω u , with control u supported on ω. We show that, when ω does not intersect a horizontal band, the considered equation is never null-controllable. The main idea is to interpret the associated observability inequality as an L 2 estimate on polynomials, which Runge's theorem disproves. To that end, we study in particular the first eigenvalue of the operator − ∂ x 2 + ( n x ) 2 with Dirichlet conditions on ( − 1 , 1 ) , and we show a quite precise estimation it satisfies, even when n is in some complex domain.

      PubDate: 2017-12-13T06:00:51Z
       
  • A variational principle for problems with a hint of convexity
    • Abstract: Publication date: December 2017
      Source:Comptes Rendus Mathematique, Volume 355, Issue 12
      Author(s): Abbas Moameni
      A variational principle is introduced to provide a new formulation and resolution for several boundary value problems with a variational structure. This principle allows one to deal with problems well beyond the weakly compact structure. As a result, we study several super-critical semilinear Elliptic problems.

      PubDate: 2017-12-13T06:00:51Z
       
  • The Ramsey property for Banach spaces and Choquet simplices, and
           applications
    • Abstract: Publication date: December 2017
      Source:Comptes Rendus Mathematique, Volume 355, Issue 12
      Author(s): Dana Bartošová, Jordi Lopez-Abad, Martino Lupini, Brice Mbombo
      We show that the class of finite-dimensional Banach spaces and the class of finite-dimensional Choquet simplices have the Ramsey property. As an application, we show that the group Aut ( G ) of surjective linear isometries of the Gurarij space G is extremely amenable, and that the canonical action Aut ( P ) ↷ P is the universal minimal flow of the group Aut ( P ) of affine homeomorphisms of the Poulsen simplex P . This answers questions of Melleray–Tsankov and Conley–Törnquist.

      PubDate: 2017-12-13T06:00:51Z
       
  • Equicontinuous families of Markov operators in view of asymptotic
           stability
    • Abstract: Publication date: December 2017
      Source:Comptes Rendus Mathematique, Volume 355, Issue 12
      Author(s): Sander Cornelis Hille, Tomasz Szarek, Maria Aleksandra Ziemlańska
      The relation between the equicontinuity – the so-called e-property – and the stability of Markov operators is studied. In particular, it is shown that any asymptotically stable Markov operator with an invariant measure such that the interior of its support is non-empty satisfies the e-property.

      PubDate: 2017-12-13T06:00:51Z
       
  • Time optimal sampled-data controls for the heat equation
    • Abstract: Publication date: December 2017
      Source:Comptes Rendus Mathematique, Volume 355, Issue 12
      Author(s): Gengsheng Wang, Donghui Yang, Yubiao Zhang
      In this paper, we first design a time optimal control problem for the heat equation with sampled-data controls, and then use it to approximate a time optimal control problem for the heat equation with distributed controls. The study of such a time optimal sampled-data control problem is not easy, because it may have infinitely many optimal controls. We find connections among this problem, a minimal norm sampled-data control problem and a minimization problem, and obtain some properties on these problems. Based on these, we not only build up error estimates for optimal time and optimal controls between the time optimal sampled-data control problem and the time optimal distributed control problem, in terms of the sampling period, but we also prove that such estimates are optimal in some sense.

      PubDate: 2017-12-13T06:00:51Z
       
  • Ulrich bundles on blowing up (and an erratum)
    • Abstract: Publication date: December 2017
      Source:Comptes Rendus Mathematique, Volume 355, Issue 12
      Author(s): Gianfranco Casnati, Yeongrak Kim
      We deal with the behaviour of Ulrich bundles with respect to push-forward and pull-back via blowing-up points. We also correct a wrong statement in [11].

      PubDate: 2017-12-13T06:00:51Z
       
  • Semi-implicit staggered mesh scheme for the multi-layer shallow water
           system
    • Abstract: Publication date: December 2017
      Source:Comptes Rendus Mathematique, Volume 355, Issue 12
      Author(s): Arnaud Duran, Jean-Paul Vila, Rémy Baraille
      We present a semi-implicit scheme for a two-dimensional multilayer shallow water system with density stratification, formulated on general staggered meshes. The main result of the present note concerns the control of the mechanical energy at the discrete level, principally based on advective fluxes implying a diffusion term expressed in terms of the gradient pressure. The scheme is also designed to capture the dynamics of low-Froude-number regimes and offers interesting positivity and well-balancing results. A numerical test is proposed to highlight the scheme's efficiency in the one-layer case.

      PubDate: 2017-12-13T06:00:51Z
       
  • Lifshitz tails for Schrödinger operators with random breather
           potential
    • Abstract: Publication date: December 2017
      Source:Comptes Rendus Mathematique, Volume 355, Issue 12
      Author(s): Christoph Schumacher, Ivan Veselić
      We prove a Lifshitz tail bound on the integrated density of states of random breather Schrödinger operators. The potential is composed of translated single-site potentials. The single-site potential is an indicator function of the set tA where t is from the unit interval and A is a measurable set contained in the unit cell. The challenges of this model are that, since A is not assumed to be star-shaped, the dependence of the potential on the parameter t is not monotone. It is also non-linear and not differentiable.

      PubDate: 2017-12-13T06:00:51Z
       
  • A counterexample of a normality criterion for families of meromorphic
           functions
    • Abstract: Publication date: Available online 24 November 2017
      Source:Comptes Rendus Mathematique
      Author(s): Caiyun Fang, Yan Xu
      Let A > 1 be a constant, and let F be a family of meromorphic functions in a domain D. If, for every function f ∈ F , f has only zeros of multiplicity at least 2 and satisfies the following conditions: (1) f ( z ) = 0 ⇒ f ″ ( z ) ≤ A z , (2) f ″ ( z ) ≠ z , (3) all poles of f have multiplicity at least 4, then F is normal in D. In this paper, we first give an example to show that condition (3) is sharp, and prove that our counterexample is unique in some sense.

      PubDate: 2017-12-13T06:00:51Z
       
  • Dossier Sommaire
    • Abstract: Publication date: November 2017
      Source:Comptes Rendus Mathematique, Volume 355, Issue 11


      PubDate: 2017-12-13T06:00:51Z
       
  • Discriminantal arrangement, 3×3 minors of Plücker matrix and
           hypersurfaces in Grassmannian Gr(3,n)
    • Abstract: Publication date: November 2017
      Source:Comptes Rendus Mathematique, Volume 355, Issue 11
      Author(s): Sumire Sawada, Simona Settepanella, So Yamagata
      We show that points in specific degree-2 hypersurfaces in the Grassmannian G r ( 3 , n ) correspond to generic arrangements of n hyperplanes in C 3 with associated discriminantal arrangement having intersections of multiplicity three in codimension two.

      PubDate: 2017-12-13T06:00:51Z
       
  • Bounded gaps between primes and the length spectra of arithmetic
           hyperbolic 3-orbifolds
    • Abstract: Publication date: November 2017
      Source:Comptes Rendus Mathematique, Volume 355, Issue 11
      Author(s): Benjamin Linowitz, D.B. McReynolds, Paul Pollack, Lola Thompson
      In 1992, Reid asked whether hyperbolic 3-manifolds with the same geodesic length spectra are necessarily commensurable. While this is known to be true for arithmetic hyperbolic 3-manifolds, the non-arithmetic case is still open. Building towards a negative answer to this question, Futer and Millichap recently constructed infinitely many pairs of non-commensurable, non-arithmetic hyperbolic 3-manifolds which have the same volume and whose length spectra begin with the same first m geodesic lengths. In the present paper, we show that this phenomenon is surprisingly common in the arithmetic setting. In particular, given any arithmetic hyperbolic 3-orbifold derived from a quaternion algebra, any finite subset S of its geodesic length spectrum, and any k ≥ 2 , we produce infinitely many k-tuples of arithmetic hyperbolic 3-orbifolds which are pairwise non-commensurable, have geodesic length spectra containing S, and have volumes lying in an interval of (universally) bounded length. The main technical ingredient in our proof is a bounded gaps result for prime ideals in number fields lying in Chebotarev sets which extends recent work of Thorner.

      PubDate: 2017-12-13T06:00:51Z
       
  • On the sum of reciprocals of least common multiples
    • Abstract: Publication date: November 2017
      Source:Comptes Rendus Mathematique, Volume 355, Issue 11
      Author(s): Guoyou Qian
      Let { a i } i = 1 ∞ be a strictly increasing sequence of positive integers ( a i < a j if i < j ). In 1978, Borwein showed that for any positive integer n, we have ∑ i = 1 n 1 lcm ( a i , a i + 1 ) ≤ 1 − 1 2 n , with equality occurring if and only if a i = 2 i − 1 for 1 ≤ i ≤ n + 1 . Let 3 ≤ r ≤ 7 be an integer. In this paper, we investigate the sum ∑ i = 1 n 1 lcm ( a i , . . . , a i + r − 1 ) and show that ∑ i = 1 n 1 lcm ( a i , . . . , a i + r − 1 ) ≤ U r ( n ) for any positive integer n, where U r ( n ) is a constant depending on r and n. Further, for any integer n ≥ 2 , we also give a characterization of the sequence { a i } i = 1 ∞ such that the equality ∑ i = 1 n 1 lcm ( a i , . . . , a i + r − 1 ) = U r ( n ) holds.

      PubDate: 2017-12-13T06:00:51Z
       
  • On the irreducible action of PSL(2,R) on the 3-dimensional Einstein
           universe
    • Abstract: Publication date: November 2017
      Source:Comptes Rendus Mathematique, Volume 355, Issue 11
      Author(s): Masoud Hassani
      In this paper, we study the irreducible representation of PSL ( 2 , R ) in PSL ( 5 , R ) . This action preserves a quadratic form with signature ( 2 , 3 ) . Thus, it acts conformally on the 3-dimensional Einstein universe E in 1 , 2 . We describe the orbits induced in E in 1 , 2 and its complement in R P 4 . This work completes the study in [2], and is one element of the classification of cohomogeneity one actions on E in 1 , 2 [5].

      PubDate: 2017-12-13T06:00:51Z
       
  • Goldman–Turaev formality from the Knizhnik–Zamolodchikov
           connection
    • Abstract: Publication date: November 2017
      Source:Comptes Rendus Mathematique, Volume 355, Issue 11
      Author(s): Anton Alekseev, Florian Naef
      For an oriented 2-dimensional manifold Σ of genus g with n boundary components, the space C π 1 ( Σ ) / [ C π 1 ( Σ ) , C π 1 ( Σ ) ] carries the Goldman–Turaev Lie bialgebra structure defined in terms of intersections and self-intersections of curves. Its associated graded Lie bialgebra (under the natural filtration) is described by cyclic words in H 1 ( Σ ) and carries the structure of a necklace Schedler Lie bialgebra. The isomorphism between these two structures in genus zero has been established in [13] using Kontsevich integrals and in [2] using solutions of the Kashiwara–Vergne problem. In this note, we give an elementary proof of this isomorphism over C . It uses the Knizhnik–Zamolodchikov connection on C \ { z 1 , … z n } . We show that the isomorphism naturally depends on the complex structure on the surface. The proof of the isomorphism for Lie brackets is a version of the classical result by Hitchin [9]. Surprisingly, it turns out that a similar proof applies to cobrackets. Furthermore, we show that the formality isomorphism constructed in this note coincides with the one defined in [2] if one uses the solution of the Kashiwara–Vergne problem corresponding to the Knizhnik–Zamolodchikov associator.

      PubDate: 2017-12-13T06:00:51Z
       
  • Existence and uniqueness of solutions to a model describing miscible
           liquids
    • Abstract: Publication date: November 2017
      Source:Comptes Rendus Mathematique, Volume 355, Issue 11
      Author(s): Karam Allali
      The existence and the uniqueness of solutions to a problem of miscible liquids are investigated in this note. The model consists of Navier–Stokes equations with Korteweg stress terms coupled with the reaction–diffusion equation for the concentration. We assume that the fluid is incompressible and the Boussinesq approximation is adopted. The global existence and uniqueness of solutions is established for some optimal conditions on the reaction source term and the external force functions.

      PubDate: 2017-12-13T06:00:51Z
       
  • On distributional solutions of local and nonlocal problems of porous
           medium type
    • Abstract: Publication date: November 2017
      Source:Comptes Rendus Mathematique, Volume 355, Issue 11
      Author(s): Félix del Teso, Jørgen Endal, Espen R. Jakobsen
      We present a theory of well-posedness and a priori estimates for bounded distributional (or very weak) solutions of (0.1) ∂ t u − L σ , μ [ φ ( u ) ] = g ( x , t ) in R N × ( 0 , T ) , where φ is merely continuous and nondecreasing, and L σ , μ is the generator of a general symmetric Lévy process. This means that L σ , μ can have both local and nonlocal parts like, e.g., L σ , μ = Δ − ( − Δ ) 1 2 . New uniqueness results for bounded distributional solutions to this problem and the corresponding elliptic equation are presented and proven. A key role is played by a new Liouville type result for L σ , μ . Existence and a priori estimates are deduced from a numerical approximation, and energy-type estimates are also obtained.

      PubDate: 2017-12-13T06:00:51Z
       
  • An LP empirical quadrature procedure for parametrized functions
    • Abstract: Publication date: November 2017
      Source:Comptes Rendus Mathematique, Volume 355, Issue 11
      Author(s): Anthony T. Patera, Masayuki Yano
      We extend the linear program empirical quadrature procedure proposed in [9] and subsequently [3] to the case in which the functions to be integrated are associated with a parametric manifold. We pose a discretized linear semi-infinite program: we minimize as objective the sum of the (positive) quadrature weights, an ℓ 1 norm that yields sparse solutions and furthermore ensures stability; we require as inequality constraints that the integrals of J functions sampled from the parametric manifold are evaluated to accuracy δ ¯ . We provide an a priori error estimate and numerical results that demonstrate that under suitable regularity conditions, the integral of any function from the parametric manifold is evaluated by the empirical quadrature rule to accuracy δ ¯ as J → ∞ . We present two numerical examples: an inverse Laplace transform; reduced-basis treatment of a nonlinear partial differential equation.

      PubDate: 2017-12-13T06:00:51Z
       
  • Common solutions to a system of variational inequalities over the set of
           common fixed points of demi-contractive operators
    • Abstract: Publication date: November 2017
      Source:Comptes Rendus Mathematique, Volume 355, Issue 11
      Author(s): Mohammad Eslamian
      In this paper, we introduce an explicit parallel algorithm for finding common solutions to a system of variational inequalities over the set of common fixed points of a finite family of demi-contractive operators. Under suitable assumptions, we prove the strong convergence of this algorithm in the framework of a Hilbert space. The results obtained in this paper extend and improve the results of Tian and Jiang (2017), of Censor, Gibali and Reich (2012), and of many others.

      PubDate: 2017-12-13T06:00:51Z
       
  • Twist star products and Morita equivalence
    • Abstract: Publication date: November 2017
      Source:Comptes Rendus Mathematique, Volume 355, Issue 11
      Author(s): Francesco D'Andrea, Thomas Weber
      We present a simple no-go theorem for the existence of a deformation quantization of a homogeneous space M induced by a Drinfel'd twist: we argue that equivariant line bundles on M with non-trivial Chern class and symplectic twist star products cannot both exist on the same manifold M. This implies, for example, that there is no symplectic star product on the projective space CP n − 1 induced by a twist based on U ( gl n ( C ) ) 〚 h 〛 or any sub-bialgebra, for every n ≥ 2 .

      PubDate: 2017-12-13T06:00:51Z
       
  • Infinite entropy is generic in Hölder and Sobolev spaces
    • Abstract: Publication date: November 2017
      Source:Comptes Rendus Mathematique, Volume 355, Issue 11
      Author(s): Edson de Faria, Peter Hazard, Charles Tresser
      In 1980, Yano showed that on smooth compact manifolds, for endomorphisms in dimension one or above and homeomorphisms in dimensions greater than one, topological entropy is generically infinite. It had earlier been shown that, for Lipschitz endomorphisms on such spaces, topological entropy is always finite. In this article, we investigate what occurs between C 0 -regularity and Lipschitz regularity, focussing on two cases: Hölder mappings and Sobolev mappings.

      PubDate: 2017-12-13T06:00:51Z
       
  • About the conditional value at risk of partial sums
    • Abstract: Publication date: November 2017
      Source:Comptes Rendus Mathematique, Volume 355, Issue 11
      Author(s): Emmanuel Rio
      In this note, we give normal approximation results for the conditional value at risk (CVaR) of partial sums of random variables satisfying moment assumptions. These results are based on Berry–Esseen-type bounds for transport costs in the central limit theorem and extensions of Cantelli's inequalities to the CVaR.

      PubDate: 2017-12-13T06:00:51Z
       
  • Nonlinear estimates for hypersurfaces in terms of their fundamental forms
    • Abstract: Publication date: November 2017
      Source:Comptes Rendus Mathematique, Volume 355, Issue 11
      Author(s): Maria Malin, Cristinel Mardare
      A sufficiently regular hypersurface immersed in the ( n + 1 ) -dimensional Euclidean space is determined up to a proper isometry of R n + 1 by its first and second fundamental forms. As a consequence, a sufficiently regular hypersurface with boundary, whose position and positively-oriented unit normal vectors are given on a non-empty portion of its boundary, is uniquely determined by its first and second fundamental forms. We establish here stronger versions of these uniqueness results by means of inequalities showing that an appropriate distance between two immersions from a domain ω of R n into R n + 1 is bounded by the L p -norm of the difference between matrix fields defined in terms of the first and second fundamental forms associated with each immersion.

      PubDate: 2017-12-13T06:00:51Z
       
  • Dossier Sommaire
    • Abstract: Publication date: October 2017
      Source:Comptes Rendus Mathematique, Volume 355, Issue 10


      PubDate: 2017-12-13T06:00:51Z
       
  • On the classification problem of free ergodic actions of nonamenable
           groups
    • Abstract: Publication date: October 2017
      Source:Comptes Rendus Mathematique, Volume 355, Issue 10
      Author(s): Eusebio Gardella, Martino Lupini
      We show that, for any countable discrete nonamenable group Γ, the relations of conjugacy, orbit equivalence, stable orbit equivalence, von Neumann equivalence, and stable von Neumann equivalence of free ergodic pmp actions of Γ on the standard atomless probability space are not Borel. This answers a question of Kechris.

      PubDate: 2017-12-13T06:00:51Z
       
  • A proof of the integral identity conjecture, II
    • Abstract: Publication date: October 2017
      Source:Comptes Rendus Mathematique, Volume 355, Issue 10
      Author(s): Quy Thuong Lê
      In this note, using Cluckers–Loeser's theory of motivic integration, we prove the integral identity conjecture with framework a localized Grothendieck ring of varieties over an arbitrary base field of characteristic zero.

      PubDate: 2017-12-13T06:00:51Z
       
  • A refined estimate for the topological degree
    • Abstract: Publication date: October 2017
      Source:Comptes Rendus Mathematique, Volume 355, Issue 10
      Author(s): Hoai-Minh Nguyen
      We sharpen an estimate of [4] for the topological degree of continuous maps from a sphere S d into itself in the case d ≥ 2 . This provides the answer for d ≥ 2 to a question raised by Brezis. The problem is still open for d = 1 .

      PubDate: 2017-12-13T06:00:51Z
       
  • Second Hankel determinant for close-to-convex functions
    • Abstract: Publication date: October 2017
      Source:Comptes Rendus Mathematique, Volume 355, Issue 10
      Author(s): Dorina Răducanu, Paweł Zaprawa
      So far, the sharp bound of the expression a 2 a 4 − a 3 2 for the class C of close-to-convex functions has remained unknown. In this paper, we obtain the estimation of this expression, called the second Hankel determinant, for C 0 , i.e. the subset of C consisting of functions f that satisfy in the unit disk the inequality Re ( z f ′ ( z ) / g ( z ) ) > 0 with a starlike function g. Moreover, some remarks on the second Hankel determinant for the class S of univalent functions are made. It is proven that max ⁡ { a 2 a 4 − a 3 2 : f ∈ S } is greater than 1.

      PubDate: 2017-12-13T06:00:51Z
       
  • On a constant in the energy estimate
    • Abstract: Publication date: Available online 9 October 2017
      Source:Comptes Rendus Mathematique
      Author(s): Rafał Czyż, Van Thien Nguyen
      In this note, we prove that the constant D ( p , m ) in the energy estimate, for m-subharmonic function with bounded p-energy, is strictly bigger than 1, for p > 0 , p ≠ 1 .

      PubDate: 2017-10-11T09:04:33Z
       
  • On the Erdös–Lax inequality concerning polynomials
    • Abstract: Publication date: Available online 9 October 2017
      Source:Comptes Rendus Mathematique
      Author(s): Abdullah Mir, Imtiaz Hussain
      Let P ( z ) be a polynomial of degree n and for any complex number α, let D α P ( z ) : = n P ( z ) + ( α − z ) P ′ ( z ) denote the polar derivative of P ( z ) with respect to α. In this paper, we present an integral inequality for the polar derivative of a polynomial. Our theorem includes as special cases several interesting generalisations and refinements of Erdöx–Lax theorem.

      PubDate: 2017-10-11T09:04:33Z
       
 
 
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