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  Subjects -> MATHEMATICS (Total: 867 journals)
    - APPLIED MATHEMATICS (69 journals)
    - GEOMETRY AND TOPOLOGY (19 journals)
    - MATHEMATICS (645 journals)
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    - NUMERICAL ANALYSIS (19 journals)
    - PROBABILITIES AND MATH STATISTICS (75 journals)

MATHEMATICS (645 journals)                  1 2 3 4 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 3)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 2)
Academic Voices : A Multidisciplinary Journal     Open Access   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 6)
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: 21)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 10)
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: 5)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 5)
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: 4)
Advances in Difference Equations     Open Access   (Followers: 1)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 9)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 1)
Advances in Materials Sciences     Open Access   (Followers: 16)
Advances in Mathematical Physics     Open Access   (Followers: 6)
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: 5)
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: 7)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Algebra and Logic     Hybrid Journal   (Followers: 2)
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: 9)
Algorithms Research     Open Access   (Followers: 1)
American Journal of Biostatistics     Open Access   (Followers: 9)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 3)
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: 4)
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: 8)
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: 6)
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  
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 4)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 2)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 1)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 4)
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: 17)
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: 2)
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: 3)
BIBECHANA     Open Access  
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: 7)
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: 17)
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal  
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: 1)
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: 5)
Concrete Operators     Open Access   (Followers: 4)
Confluentes Mathematici     Hybrid Journal  
COSMOS     Hybrid Journal  
Cryptography and Communications     Hybrid Journal   (Followers: 12)
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: 2)
Discrete Mathematics     Hybrid Journal   (Followers: 7)
Discrete Mathematics & Theoretical Computer Science     Open Access  
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Doklady Mathematics     Hybrid Journal  
Duke Mathematical Journal     Full-text available via subscription   (Followers: 1)
Edited Series on Advances in Nonlinear Science and Complexity     Full-text available via subscription  
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: 4)
ESAIM: Control Optimisation and Calculus of Variations     Full-text available via subscription   (Followers: 1)
European Journal of Combinatorics     Full-text available via subscription   (Followers: 4)
European Journal of Mathematics     Hybrid Journal   (Followers: 1)
European Scientific Journal     Open Access   (Followers: 2)
Experimental Mathematics     Hybrid Journal   (Followers: 3)
Expositiones Mathematicae     Hybrid Journal   (Followers: 2)
Facta Universitatis, Series : Mathematics and Informatics     Open Access  
Fasciculi Mathematici     Open Access  
Finite Fields and Their Applications     Full-text available via subscription   (Followers: 4)
Fixed Point Theory and Applications     Open Access   (Followers: 1)
Formalized Mathematics     Open Access   (Followers: 2)
Foundations and Trends® in Econometrics     Full-text available via subscription   (Followers: 4)

        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  [3031 journals]
  • Observation estimate for kinetic transport equations by diffusion
           approximation
    • Abstract: Publication date: Available online 18 May 2017
      Source:Comptes Rendus Mathematique
      Author(s): Claude Bardos, Kim Dang Phung
      We study the unique continuation property for the neutron transport equation and for a simplified model of the Fokker–Planck equation in a bounded domain with absorbing boundary condition. An observation estimate is derived. It depends on the smallness of the mean free path and the frequency of the velocity average of the initial data. The proof relies on the well-known diffusion approximation under convenience scaling and on the basic properties of this diffusion. Eventually, we propose a direct proof for the observation at one time of parabolic equations. It is based on the analysis of the heat kernel.

      PubDate: 2017-05-22T19:37:49Z
       
  • Dossier Sommaire
    • Abstract: Publication date: May 2017
      Source:Comptes Rendus Mathematique, Volume 355, Issue 5


      PubDate: 2017-05-17T17:35:24Z
       
  • The cyclic homology of crossed-product algebras, II
    • Abstract: Publication date: Available online 10 May 2017
      Source:Comptes Rendus Mathematique
      Author(s): Raphaël Ponge
      In this note, we produce explicit quasi-isomorphisms computing the cyclic homology of crossed-product algebras associated with group actions on manifolds. We obtain explicit relationships with equivariant cohomology. On the way, we extend the results of the first part to the setting of group actions on locally convex algebras.

      PubDate: 2017-05-12T17:34:58Z
       
  • Boundedness of classical solutions for a chemotaxis model with consumption
           of chemoattractant
    • Abstract: Publication date: Available online 9 May 2017
      Source:Comptes Rendus Mathematique
      Author(s): Khadijeh Baghaei, Ali Khelghati
      In this paper, we study the chemotaxis system: { u t = ∇ ⋅ ( ξ ∇ u − χ u ∇ v ) , x ∈ Ω , t > 0 , v t = Δ v − u v , x ∈ Ω , t > 0 , under homogeneous Neumann boundary conditions in a bounded domain Ω ⊂ R n , n ≥ 1 , with smooth boundary. Here, ξ and χ are some positive constants. We prove that the classical solutions to the above system are uniformly in-time-bounded provided that: ‖ v 0 ‖ L ∞ ( Ω ) < { 1 χ ξ 2 ( n + 1 ) [ π + 2 arctan ⁡ ( ( 1 − ξ ) 2 2 ( n + 1 ) ξ ) ] , if 0 < ξ < 1 , π χ 2 ( n + 1 ) , if ξ = 1 , 1 χ ξ 2 ( n + 1 ) [ π − 2 arctan ⁡ ( ( ξ − 1 ) 2 2 ( n + 1 ) ξ ) ] , if ξ > 1 . In the case of ξ = 1 , the recent results show that the classical solutions are global and bounded provided that 0 < ‖ v 0 ‖ L ∞ ( Ω ) ≤ 1 6 ( n
      PubDate: 2017-05-12T17:34:58Z
       
  • Extended Caffarelli–Kohn–Nirenberg inequalities and superweights for
           Lp-weighted Hardy inequalities
    • Abstract: Publication date: Available online 9 May 2017
      Source:Comptes Rendus Mathematique
      Author(s): Michael Ruzhansky, Durvudkhan Suragan, Nurgissa Yessirkegenov
      In this paper, we give an extension of the classical Caffarelli–Kohn–Nirenberg inequalities with respect to the range of parameters. We also establish best constants for large families of parameters. Moreover, we also obtain anisotropic versions of these inequalities which can be conveniently formulated in the language of Folland and Stein's homogeneous groups. We also establish sharp Hardy type inequalities in L p , 1 < p < ∞ , with superweights.

      PubDate: 2017-05-12T17:34:58Z
       
  • The cyclic homology of crossed-product algebras, I
    • Abstract: Publication date: Available online 9 May 2017
      Source:Comptes Rendus Mathematique
      Author(s): Raphaël Ponge
      In this note we produce explicit quasi-isomorphisms computing the cyclic homology of crossed-product algebras.

      PubDate: 2017-05-12T17:34:58Z
       
  • Joint spectrum and large deviation principle for random matrix products
    • Abstract: Publication date: Available online 9 May 2017
      Source:Comptes Rendus Mathematique
      Author(s): Cagri Sert
      The aim of this note is to announce some results about the probabilistic and deterministic asymptotic properties of linear groups. The first one is the analogue, for norms of random matrix products, of the classical theorem of Cramér on large deviation principles (LDP) for sums of iid real random variables. In the second result, we introduce a limit set describing the asymptotic shape of the powers S n = { g 1 . … . g n g i ∈ S } of a subset S of a semisimple linear Lie group G (e.g., SL ( d , R ) ). This limit set has applications, among others, in the study of large deviations.

      PubDate: 2017-05-12T17:34:58Z
       
  • Existence of invariant measures for some damped stochastic dispersive
           equations
    • Abstract: Publication date: Available online 9 May 2017
      Source:Comptes Rendus Mathematique
      Author(s): Ibrahim Ekren, Igor Kukavica, Mohammed Ziane
      We address the long-time behavior of solutions to damped dispersive stochastic partial differential equations, namely the KdV equation and the nonlinear Schrödinger equation on the whole space. We prove that the transition semigroup is Feller and establish the existence of an invariant measure using the asymptotic compactness property of the transition semigroup and the Aldous criterion.

      PubDate: 2017-05-12T17:34:58Z
       
  • Semi-continuity properties of weighted log canonical thresholds of toric
           plurisubharmonic functions
    • Abstract: Publication date: Available online 5 May 2017
      Source:Comptes Rendus Mathematique
      Author(s): Nguyen Xuan Hong
      In this note, we prove a semi-continuity theorem for certain weighted log canonical thresholds of toric plurisubharmonic functions.

      PubDate: 2017-05-08T17:34:37Z
       
  • Eigenvalues behaviours for self-adjoint Pauli operators with unsigned
           perturbations and admissible magnetic fields
    • Abstract: Publication date: Available online 4 May 2017
      Source:Comptes Rendus Mathematique
      Author(s): Diomba Sambou, Amal Taarabt
      We investigate the discrete spectrum behaviour for the 2d Pauli operator with nonconstant magnetic field, perturbed by a sign-indefinite self-adjoint electric potential that decays polynomially at infinity. A localisation of the eigenvalues and new asymptotics are established.

      PubDate: 2017-05-08T17:34:37Z
       
  • Shape optimization of a layer by layer mechanical constraint for additive
           manufacturing
    • Abstract: Publication date: Available online 2 May 2017
      Source:Comptes Rendus Mathematique
      Author(s): Grégoire Allaire, Charles Dapogny, Alexis Faure, Georgios Michailidis
      The purpose of this article is to introduce a new functional of the domain, to be used in shape optimization problems as a means to enforce the constructibility of shapes by additive manufacturing processes. This functional aggregates the self-weights of all the intermediate structures of the shape appearing in the course of its layer-by-layer assembly. Its mathematical analysis is performed and an algorithm is proposed to accelerate the significant computational effort entailed by the implementation of these ideas. Eventually, a numerical validation and a concrete example are discussed.

      PubDate: 2017-05-02T17:16:37Z
       
  • On the Chow ring of certain rational cohomology tori
    • Abstract: Publication date: Available online 28 April 2017
      Source:Comptes Rendus Mathematique
      Author(s): Zhi Jiang, Qizheng Yin
      Let f : X → A be an abelian cover from a complex algebraic variety with quotient singularities to an abelian variety. We show that f ⁎ induces an isomorphism between the rational cohomology rings H • ( A , Q ) and H • ( X , Q ) if and only if f ⁎ induces an isomorphism between the Chow rings with rational coefficients CH • ( A ) Q and CH • ( X ) Q .

      PubDate: 2017-05-02T17:16:37Z
       
  • Un contre-exemple pour un espace d'interpolation qui n'est pas faiblement
           LUR
    • Abstract: Publication date: Available online 27 April 2017
      Source:Comptes Rendus Mathematique
      Author(s): Mohammad Daher
      According to a previous result of the author, if ( A 0 , A 1 ) is an interpolation couple, if A 0 ⁎ is weakly LUR, then the complex interpolation spaces ( A 0 ⁎ , A 1 ⁎ ) θ have the same property. Here we construct an interpolation couple ( B 0 , B 1 ) where B 0 is LUR, but where the complex interpolation spaces ( B 0 , B 1 ) θ are not strictly convex.

      PubDate: 2017-05-02T17:16:37Z
       
  • A new generalization of Apostol-type Laguerre–Genocchi polynomials
    • Abstract: Publication date: Available online 26 April 2017
      Source:Comptes Rendus Mathematique
      Author(s): Nabiullah Khan, Talha Usman, Junesang Choi
      Many extensions and variants of the so-called Apostol-type polynomials have recently been investigated. Motivated mainly by those works and their usefulness, we aim to introduce a new class of Apostol-type Laguerre–Genocchi polynomials associated with the modified Milne–Thomson's polynomials introduced by Derre and Simsek and investigate its properties, including, for example, various implicit formulas and symmetric identities in a systematic manner. The new family of polynomials introduced here, being very general, contains, as its special cases, many known polynomials. So the properties and identities presented here reduce to yield those results of the corresponding known polynomials.

      PubDate: 2017-05-02T17:16:37Z
       
  • On the sub poly-harmonic property for solutions to
           (−Δ)pu&lt;0 in Rn
    • Abstract: Publication date: Available online 21 April 2017
      Source:Comptes Rendus Mathematique
      Author(s): Quốc Anh Ngô
      In this note, we mainly study the relation between the sign of ( − Δ ) p u and ( − Δ ) p − i u in R n with p ⩾ 2 and n ⩾ 2 for 1 ⩽ i ⩽ p − 1 . Given the differential inequality ( − Δ ) p u < 0 , first we provide several sufficient conditions so that ( − Δ ) p − 1 u < 0 holds. Then we provide conditions such that ( − Δ ) i u < 0 for all i = 1 , 2 , … , p − 1 , which is known as the sub poly-harmonic property for u. In the last part of the note, we revisit the super poly-harmonic property for solutions to ( − Δ ) p u = e 2 p u and ( − Δ ) p u = u q with q > 0 in R n .

      PubDate: 2017-04-25T16:38:03Z
       
  • Interaction energy between vortices of vector fields on Riemannian
           surfaces
    • Abstract: Publication date: Available online 20 April 2017
      Source:Comptes Rendus Mathematique
      Author(s): Radu Ignat, Robert L. Jerrard
      We study a variational Ginzburg–Landau-type model depending on a small parameter ε > 0 for (tangent) vector fields on a 2-dimensional Riemannian surface. As ε → 0 , the vector fields tend to be of unit length and will have singular points of a (non-zero) index, called vortices. Our main result determines the interaction energy between these vortices as a Γ-limit (at the second order) as ε → 0 .

      PubDate: 2017-04-25T16:38:03Z
       
  • Combinatorial models for spaces of cubic polynomials
    • Abstract: Publication date: Available online 20 April 2017
      Source:Comptes Rendus Mathematique
      Author(s): Alexander Blokh, Lex Oversteegen, Ross Ptacek, Vladlen Timorin
      W. Thurston constructed a combinatorial model of the Mandelbrot set M 2 such that there is a continuous and monotone projection of M 2 to this model. We propose the following related model for the space MD 3 of critically marked cubic polynomials with connected Julia set and all cycles repelling. If ( P , c 1 , c 2 ) ∈ MD 3 , then every point z in the Julia set of the polynomial P defines a unique maximal finite set A z of angles on the circle corresponding to the rays, whose impressions form a continuum containing z. Let G ( z ) denote the convex hull of A z . The convex sets G ( z ) partition the closed unit disk. For ( P , c 1 , c 2 ) ∈ MD 3 let c 1 ⁎ be the co-critical point of c 1 . We tag the marked dendritic polynomial ( P , c 1 , c 2 ) with the set G ( c 1 ⁎ ) × G ( P ( c 2 ) ) ⊂ D ‾ × D ‾ . Tags are pairwise disjoint; denote by MD 3 comb their collection, equipped with the quotient topology. We show that tagging defines a continuous map from MD 3 to MD 3 comb so that MD 3 comb serves as a model for MD 3 .

      PubDate: 2017-04-25T16:38:03Z
       
  • Almost global well-posedness of Kirchhoff equation with Gevrey data
    • Abstract: Publication date: Available online 18 April 2017
      Source:Comptes Rendus Mathematique
      Author(s): Tokio Matsuyama, Michael Ruzhansky
      The aim of this note is to present the almost global well-posedness result for the Cauchy problem for the Kirchhoff equation with large data in Gevrey spaces. We also briefly discuss the corresponding results in bounded and in exterior domains.

      PubDate: 2017-04-19T16:32:03Z
       
  • On the Hamilton–Poisson realizations of the integrable deformations of
           the Maxwell–Bloch equations
    • Abstract: Publication date: Available online 18 April 2017
      Source:Comptes Rendus Mathematique
      Author(s): Cristian Lăzureanu
      In this note, we construct integrable deformations of the three-dimensional real valued Maxwell–Bloch equations by modifying their constants of motions. We obtain two Hamilton–Poisson realizations of the new system. Moreover, we prove that the obtained system has infinitely many Hamilton–Poisson realizations. Particularly, we present a Hamilton–Poisson approach of the system obtained considering two concrete deformation functions.

      PubDate: 2017-04-19T16:32:03Z
       
  • The equivariant Riemann–Roch theorem and the graded Todd class
    • Abstract: Publication date: Available online 18 April 2017
      Source:Comptes Rendus Mathematique
      Author(s): Michèle Vergne
      Let G be a torus with Lie algebra g and let M be a G-Hamiltonian manifold with Kostant line bundle L and proper moment map. Let Λ ⊂ g ⁎ be the weight lattice of G. We consider a parameter k ≥ 1 and the multiplicity m ( λ , k ) of the quantized representation R R G ( M , L k ) . Define 〈 Θ ( k ) , f 〉 = ∑ λ ∈ Λ m ( λ , k ) f ( λ / k ) for f a test function on g ⁎ . We prove that the distribution Θ ( k ) has an asymptotic development 〈 Θ ( k ) , f 〉 ∼ k dim ⁡ M / 2 ∑ n = 0 ∞ k − n 〈 D H n , f 〉 where the distributions D H n are the twisted Duistermaat–Heckman distributions associated with the graded equivariant Todd class of M. When M is compact, and f polynomial, the asymptotic series is finite and exact.

      PubDate: 2017-04-19T16:32:03Z
       
  • Besov continuity of pseudo-differential operators on compact Lie groups
           revisited
    • Abstract: Publication date: Available online 14 April 2017
      Source:Comptes Rendus Mathematique
      Author(s): Duván Cardona
      In this note we present some results on the action of global pseudo-differential operators on Besov spaces on compact Lie groups.

      PubDate: 2017-04-19T16:32:03Z
       
  • Mean ergodic theorem in symmetric spaces
    • Abstract: Publication date: Available online 14 April 2017
      Source:Comptes Rendus Mathematique
      Author(s): Fedor Sukochev, Aleksandr Veksler
      We investigate the validity of the Mean Ergodic Theorem in symmetric Banach function spaces E. The assertion of that theorem always holds when E is separable, whereas the situation is more delicate when E is non-separable. To describe positive results in the latter setting, we use the connections with the theory of singular traces.

      PubDate: 2017-04-19T16:32:03Z
       
  • Dossier Sommaire
    • Abstract: Publication date: April 2017
      Source:Comptes Rendus Mathematique, Volume 355, Issue 4


      PubDate: 2017-04-19T16:32:03Z
       
  • On the Gromov non-hyperbolicity of certain domains in Cn
    • Abstract: Publication date: Available online 6 April 2017
      Source:Comptes Rendus Mathematique
      Author(s): Fathi Haggui, Abdelwahed Chrih
      In this paper, we prove that if Ω is a bounded convex domain in C n , n ≥ 2 , and S is an affine complex hyperplane such that Ω ∩ S is not empty, then Ω ∖ S is not Gromov hyperbolic with respect to the Kobayashi distance. Next, we show that if X is a bounded convex domain in C n , then Ω = { ( z , w ) ∈ X × C ⁎ , w < e − φ ( z ) } is not Gromov hyperbolic, where φ is a strictly plurisubaharmonic function on X continuous up to X ‾ .

      PubDate: 2017-04-11T16:17:39Z
       
  • Observability estimates for the wave equation with rough coefficients
    • Abstract: Publication date: Available online 31 March 2017
      Source:Comptes Rendus Mathematique
      Author(s): Belhassen Dehman, Sylvain Ervedoza
      The goal of this note is to prove observability estimates for the wave equation with a density which is only continuous in the domain, and satisfies some multiplier-type condition only in the sense of distributions. Our main argument is that one can construct suitable approximations of such density by a sequence of smooth densities whose corresponding wave equations are uniformly observable. The end of the argument then consists in a rather standard passage to the limit.

      PubDate: 2017-04-04T16:04:53Z
       
  • Formality theorem for g-manifolds
    • Abstract: Publication date: Available online 30 March 2017
      Source:Comptes Rendus Mathematique
      Author(s): Hsuan-Yi Liao, Mathieu Stiénon, Ping Xu
      With any g -manifold M are associated two dglas tot ( Λ • g ∨ ⊗ k T poly • ( M ) ) and tot ( Λ • g ∨ ⊗ k D poly • ( M ) ) , whose cohomologies H CE • ( g , T poly • ( M ) → 0 T poly • + 1 ( M ) ) and H CE • ( g , D poly • ( M ) → d H D poly • + 1 ( M ) ) are Gerstenhaber algebras. We establish a formality theorem for g -manifolds: there exists an L ∞ quasi-isomorphism Φ : tot ( Λ • g ∨ ⊗ k T poly • ( M ) ) → tot ( Λ • g ∨ ⊗ k D poly • ( M ) ) whose first ‘Taylor coefficient’ (1) is equal to the Hochschild–Kostant–Rosenberg map twisted by the square root of the Todd cocycle of the g -manifold M, and (2) induces an isomorphism of Gerstenhaber algebras on the level of cohomology. Consequently, the Hochschild–Kostant–Rosenberg map twisted by the square root of the Todd class of the g -manifold M is an isomorphi...
      PubDate: 2017-04-04T16:04:53Z
       
  • Quot schemes and Ricci semipositivity
    • Abstract: Publication date: Available online 29 March 2017
      Source:Comptes Rendus Mathematique
      Author(s): Indranil Biswas, Harish Seshadri
      Let X be a compact connected Riemann surface of genus at least two, and let Q X ( r , d ) be the quot scheme that parameterizes all the torsion coherent quotients of O X ⊕ r of degree d. This Q X ( r , d ) is also a moduli space of vortices on X. Its geometric properties have been extensively studied. Here we prove that the anticanonical line bundle of Q X ( r , d ) is not nef. Equivalently, Q X ( r , d ) does not admit any Kähler metric whose Ricci curvature is semipositive.

      PubDate: 2017-04-04T16:04:53Z
       
  • On a discrete bilinear singular operator
    • Abstract: Publication date: Available online 29 March 2017
      Source:Comptes Rendus Mathematique
      Author(s): Dong Dong
      We prove that for a large class of functions P and Q, the discrete bilinear operator T P , Q ( f , g ) ( n ) = ∑ m ∈ Z ∖ { 0 } f ( n − P ( m ) ) g ( n − Q ( m ) ) 1 m is bounded from l 2 × l 2 into l 1 + ϵ , ∞ for any ϵ ∈ ( 0 , 1 ] .

      PubDate: 2017-04-04T16:04:53Z
       
  • Une caractérisation de l'algèbre de Fourier pour certains
           groupes localement compacts
    • Abstract: Publication date: Available online 24 March 2017
      Source:Comptes Rendus Mathematique
      Author(s): Wassim Nasserddine
      Let G be a separable locally compact group with type-I left regular representation, G ˆ its dual and A ( G ) its Fourier algebra. We prove an analogue of Parseval's theorem and that the mapping T ⟶ u ( x ) : = ∫ G ˆ T r [ T ( π ) π ( x ) − 1 ] d μ ( π ) is an isometric isomorphism of Banach spaces from L 1 ( G ˆ ) onto A ( G ) .

      PubDate: 2017-04-04T16:04:53Z
       
  • Error bounds in high-order Sobolev norms for POD expansions of
           parameterized transient temperatures
    • Abstract: Publication date: Available online 22 March 2017
      Source:Comptes Rendus Mathematique
      Author(s): Mejdi Azaïez, Faker Ben Belgacem, Tomás Chacón Rebollo, Macarena Gómez Mármol, Isabel Sánchez Muñoz
      In this work, we analyze the convergence of the POD expansion for the solution to the heat conduction parameterized with respect to the thermal conductivity coefficient. We obtain error bounds for the POD approximation in high-order norms in space that assure an exponential rate of convergence, uniformly with respect to the parameter whenever it remains within a compact set of positive numbers. We present some numerical tests that confirm this theoretical accuracy.

      PubDate: 2017-04-04T16:04:53Z
       
  • Lelong numbers, complex singularity exponents, and Siu's semicontinuity
           theorem
    • Abstract: Publication date: Available online 22 March 2017
      Source:Comptes Rendus Mathematique
      Author(s): Qi'an Guan, Xiangyu Zhou
      In this note, we describe a relation between Lelong numbers and complex singularity exponents. As an application, we obtain a new proof of Siu's semicontinuity theorem for Lelong numbers.

      PubDate: 2017-04-04T16:04:53Z
       
  • On the localization of the minimum integral related to the weighted
           Bergman kernel and its application
    • Abstract: Publication date: Available online 21 March 2017
      Source:Comptes Rendus Mathematique
      Author(s): Hyeseon Kim
      In this note, under an additional condition, we present an alternative proof of a stability theorem for the boundary asymptotics of the Bergman kernel due to T. Ohsawa. Our method relies on the localization of the minimum integral related to the weighted Bergman kernel.

      PubDate: 2017-04-04T16:04:53Z
       
  • Lehmer's totient problem over Fq[x]
    • Abstract: Publication date: Available online 21 March 2017
      Source:Comptes Rendus Mathematique
      Author(s): Qingzhong Ji, Hourong Qin
      In this paper, we consider the function field analogue of the Lehmer's totient problem. Let p ( x ) ∈ F q [ x ] and φ ( q , p ( x ) ) be the Euler's totient function of p ( x ) over F q [ x ] , where F q is a finite field with q elements. We prove that φ ( q , p ( x ) ) ( q deg ( p ( x ) ) − 1 ) if and only if (i) p ( x ) is irreducible; or (ii) q = 3 , p ( x ) is the product of any 2 non-associate irreducibles of degree 1; or (iii) q = 2 , p ( x ) is the product of all irreducibles of degree 1, all irreducibles of degree 1 and 2, and the product of any 3 irreducibles one each of degree 1, 2 and 3.

      PubDate: 2017-04-04T16:04:53Z
       
  • Three-manifolds of constant vector curvature one
    • Abstract: Publication date: Available online 21 March 2017
      Source:Comptes Rendus Mathematique
      Author(s): Benjamin Schmidt, Jon Wolfson
      A Riemannian manifold has CVC ( ϵ ) if its sectional curvatures satisfy sec ≤ ε or sec ≥ ε pointwise, and if every tangent vector lies in a tangent plane of curvature ε. We present a construction of an infinite-dimensional family of compact CVC ( 1 ) three-manifolds.

      PubDate: 2017-04-04T16:04:53Z
       
  • An optimization-based numerical method for diffusion problems with
           sign-changing coefficients
    • Abstract: Publication date: Available online 18 March 2017
      Source:Comptes Rendus Mathematique
      Author(s): Assyr Abdulle, Martin E. Huber, Simon Lemaire
      A new optimization-based numerical method is proposed for the solution to diffusion problems with sign-changing conductivity coefficients. In contrast to existing approaches, our method does not rely on the discretization of a stabilized equation, and the convergence of the scheme can be proved without any symmetry assumption on the mesh near the interface where the conductivity sign changes.

      PubDate: 2017-04-04T16:04:53Z
       
  • Singularités canoniques et actions horosphériques
    • Abstract: Publication date: Available online 15 March 2017
      Source:Comptes Rendus Mathematique
      Author(s): Kevin Langlois
      Let G be a connected reductive linear algebraic group. We consider the normal G-varieties with horospherical orbits. In this short note, we provide a criterion to determine whether these varieties have at most canonical, log canonical or terminal singularities in the case where they admit an algebraic curve as rational quotient. This result seems to be new in the special setting of torus actions with general orbits of codimension 1. For the given G-variety X, our criterion is expressed in terms of a weight function ω X that is constructed from the set of G-invariant valuations of the function field k ( X ) . In the log terminal case, the generating function of ω X coincides with the stringy motivic volume of X. As an application, we discuss the case of normal k ⋆ -surfaces.

      PubDate: 2017-04-04T16:04:53Z
       
  • Harmonic measure on sets of codimension larger than one
    • Abstract: Publication date: Available online 14 March 2017
      Source:Comptes Rendus Mathematique
      Author(s): Guy David, Joseph Feneuil, Svitlana Mayboroda
      We introduce a new notion of a harmonic measure for a d-dimensional set in R n with d < n − 1 , that is, when the codimension is strictly bigger than 1. Our measure is associated with a degenerate elliptic PDE, it gives rise to a comprehensive elliptic theory, and, most notably, it is absolutely continuous with respect to the d-dimensional Hausdorff measure on reasonably nice sets. This note provides general strokes of the proof of the latter statement for Lipschitz graphs with small Lipschitz constant.

      PubDate: 2017-04-04T16:04:53Z
       
  • On the mixing time of the flip walk on triangulations of the sphere
    • Abstract: Publication date: Available online 13 March 2017
      Source:Comptes Rendus Mathematique
      Author(s): Thomas Budzinski
      A simple way to sample a uniform triangulation of the sphere with a fixed number n of vertices is the Monte-Carlo method: we start from an arbitrary triangulation and flip repeatedly a uniformly chosen edge. We give a lower bound of order n 5 / 4 on the mixing time of this Markov chain.

      PubDate: 2017-04-04T16:04:53Z
       
  • Logarithmic Sobolev inequality revisited
    • Abstract: Publication date: Available online 13 March 2017
      Source:Comptes Rendus Mathematique
      Author(s): Hoai-Minh Nguyen, Marco Squassina
      We provide a new characterization of the logarithmic Sobolev inequality.

      PubDate: 2017-04-04T16:04:53Z
       
  • The elliptic Cauchy problem revisited: Control of boundary data in natural
           norms
    • Abstract: Publication date: Available online 11 March 2017
      Source:Comptes Rendus Mathematique
      Author(s): Erik Burman
      In this note, we prove error estimates in natural norms on the approximation of the boundary data in the elliptic Cauchy problem, for the finite element method first analysed in E. Burman, Error estimates for stabilised finite element methods applied to ill-posed problems, C. R. Acad. Sci. Paris, Ser. I 352 (7–8) (2014) 655–659.

      PubDate: 2017-03-13T01:23:46Z
       
  • The complex Monge–Ampère equation on weakly pseudoconvex
           domains
    • Abstract: Publication date: Available online 11 March 2017
      Source:Comptes Rendus Mathematique
      Author(s): Luca Baracco, Tran Vu Khanh, Stefano Pinton
      We show here a “weak” Hölder regularity up to the boundary of the solution to the Dirichlet problem for the complex Monge–Ampère equation with data in the L p space and Ω satisfying an f-property. The f-property is a potential-theoretical condition that holds for all pseudoconvex domains of finite type and many examples of infinite-type ones.

      PubDate: 2017-03-13T01:23:46Z
       
  • Blow-up solutions for a general class of the second-order differential
           equations on the half line
    • Abstract: Publication date: Available online 11 March 2017
      Source:Comptes Rendus Mathematique
      Author(s): Angelo R.F. de Holanda
      In this paper, we study the existence of positive blow-up solutions for a general class of the second-order differential equations and systems, which are positive radially symmetric solutions to many elliptic problems in R N . We explore fixed point arguments applied to suitable integral equations to get solutions.

      PubDate: 2017-03-13T01:23:46Z
       
  • Multipliers for Besov spaces on graded Lie groups
    • Abstract: Publication date: Available online 11 March 2017
      Source:Comptes Rendus Mathematique
      Author(s): Duván Cardona, Michael Ruzhansky
      In this note, we give embeddings and other properties of Besov spaces, as well as spectral and Fourier multiplier theorems, in the setting of graded Lie groups. We also present a Nikolskii-type inequality and the Littlewood–Paley theorem that play a role in this analysis and are also of interest on their own.

      PubDate: 2017-03-13T01:23:46Z
       
  • Faîte du cône tangent à une singularité : un
           théorème oublié
    • Abstract: Publication date: Available online 11 March 2017
      Source:Comptes Rendus Mathematique
      Author(s): Vincent Cossart, Olivier Piltant, Bernd Schober
      Let X be an excellent scheme; we denote by H X the modified Hilbert–Samuel function. This function is upper semi-continuous along X and does not increase for the lexicographical ordering after permissible blowing ups. When X is embedded in a regular ambient scheme, for all x ∈ X , the “stable τ at x” (“τ stable de x”), denoted by τ st ( x ) , is the codimension of the ridge of the tangent cone of X at x in the tangent cone of W at x. It is well known that the function ι : X → N N × − N , x ↦ ( H X ( x ) , − τ st ( x ) ) , does not increase for the lexicographical ordering after permissible blowing ups. In this note, we show that ι is upper semi-continuous along X . This result is generalized to the non-embedded case.

      PubDate: 2017-03-13T01:23:46Z
       
  • The full automorphism group of T‾
    • Abstract: Publication date: Available online 11 March 2017
      Source:Comptes Rendus Mathematique
      Author(s): Indranil Biswas, Subramaniam Senthamarai Kannan, Donihakalu Shankar Nagaraj
      Let G ‾ be the wonderful compactification of a simple affine algebraic group G of adjoint type defined over C . Let T ‾ ⊂ G ‾ be the closure of a maximal torus T ⊂ G . We prove that the group of all automorphisms of the variety T ‾ is the semi-direct product N G ( T ) ⋊ D , where N G ( T ) is the normalizer of T in G and D is the group of all automorphisms of the Dynkin diagram, if G ≠ PSL ( 2 , C ) . Note that if G = PSL ( 2 , C ) , then T ‾ = C P 1 and so in this case Aut ( T ‾ ) = PSL ( 2 , C ) .

      PubDate: 2017-03-13T01:23:46Z
       
  • Perverse sheaves and knot contact homology
    • Abstract: Publication date: Available online 11 March 2017
      Source:Comptes Rendus Mathematique
      Author(s): Yuri Berest, Alimjon Eshmatov, Wai-Kit Yeung
      In this paper, we give a new algebraic construction of knot contact homology in the sense of Ng [35]. For a link L in R 3 , we define a differential graded (DG) k-category A ˜ L with finitely many objects, whose quasi-equivalence class is a topological invariant of L. In the case when L is a knot, the endomorphism algebra of a distinguished object of A ˜ L coincides with the fully noncommutative knot DGA as defined by Ekholm, Etnyre, Ng, and Sullivan in [13]. The input of our construction is a natural action of the braid group B n on the category of perverse sheaves on a two-dimensional disk with singularities at n marked points, studied by Gelfand, MacPherson, and Vilonen in [19]. As an application, we show that the category of finite-dimensional representations of the link k-category A ˜ L = H 0 ( A ˜ L ) defined as the 0-th homology of A ˜ L is equivalent to the category of perverse sheaves on R 3 that are singular along the link L. We also obtain several generalizations of the category A ˜ L by extending the Gelfand–MacPherson–Vilonen braid group action. Detailed proofs of results announced in this paper will appear in [4].

      PubDate: 2017-03-13T01:23:46Z
       
  • On optimal Hölder regularity of solutions to the equation Δu+b⋅∇u=0
           in two dimensions
    • Abstract: Publication date: Available online 6 March 2017
      Source:Comptes Rendus Mathematique
      Author(s): Nam Q. Le
      We show that for an L 2 drift b in two dimensions, if the Hardy norm of div b is small, then the weak solutions to Δ u + b ⋅ ∇ u = 0 have the same optimal Hölder regularity as in the case of divergence-free drift, that is, u ∈ C loc α for all α ∈ ( 0 , 1 ) .

      PubDate: 2017-03-10T01:07:14Z
       
 
 
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