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  Subjects -> MATHEMATICS (Total: 978 journals)
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    - MATHEMATICS (723 journals)
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MATHEMATICS (723 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: 4)
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: 15)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 3)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Hybrid Journal   (Followers: 32)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 12)
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: 10)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 4)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 4)
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: 19)
Advances in Decision Sciences     Open Access   (Followers: 3)
Advances in Difference Equations     Open Access   (Followers: 3)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 14)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 3)
Advances in Materials Science     Open Access   (Followers: 14)
Advances in Mathematical Physics     Open Access   (Followers: 4)
Advances in Mathematics     Full-text available via subscription   (Followers: 11)
Advances in Nonlinear Analysis     Hybrid Journal  
Advances in Numerical Analysis     Open Access   (Followers: 5)
Advances in Operations Research     Open Access   (Followers: 12)
Advances in Porous Media     Full-text available via subscription   (Followers: 5)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 6)
Advances in Pure Mathematics     Open Access   (Followers: 6)
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: 12)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access   (Followers: 1)
Algebra and Logic     Hybrid Journal   (Followers: 6)
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 Computational and Applied Mathematics     Open Access   (Followers: 5)
American Journal of Mathematical Analysis     Open Access  
American Journal of Mathematics     Full-text available via subscription   (Followers: 6)
American Journal of Operations Research     Open Access   (Followers: 5)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 9)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access   (Followers: 1)
Analysis and Applications     Hybrid Journal   (Followers: 1)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 5)
Analysis Mathematica     Full-text available via subscription  
Analysis. International mathematical journal of analysis and its applications     Hybrid Journal   (Followers: 2)
Annales Mathematicae Silesianae     Open Access  
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica     Open Access  
Annali di Matematica Pura ed Applicata     Hybrid Journal   (Followers: 1)
Annals of Combinatorics     Hybrid Journal   (Followers: 4)
Annals of Data Science     Hybrid Journal   (Followers: 12)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 6)
Annals of Mathematics     Full-text available via subscription   (Followers: 1)
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 13)
Annals of Pure and Applied Logic     Open Access   (Followers: 3)
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)
ANZIAM Journal     Open Access   (Followers: 1)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 2)
Applications of Mathematics     Hybrid Journal   (Followers: 2)
Applied Categorical Structures     Hybrid Journal   (Followers: 2)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 13)
Applied Mathematics     Open Access   (Followers: 3)
Applied Mathematics     Open Access   (Followers: 7)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 9)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal  
Applied Mathematics Letters     Full-text available via subscription   (Followers: 2)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Network Science     Open Access   (Followers: 3)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 5)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 3)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 3)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 5)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 5)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Armenian Journal of Mathematics     Open Access  
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites     Open Access   (Followers: 21)
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: 6)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 4)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 1)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access   (Followers: 1)
Baltic International Yearbook of Cognition, Logic and Communication     Open Access   (Followers: 1)
Basin Research     Hybrid Journal   (Followers: 5)
BIBECHANA     Open Access   (Followers: 2)
Biomath     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: 20)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 12)
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 Symbolic Logic     Full-text available via subscription   (Followers: 2)
Bulletin of the Australian Mathematical Society     Full-text available via subscription   (Followers: 1)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 4)
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: 19)
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal   (Followers: 2)
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: 1)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 4)
Collectanea Mathematica     Hybrid Journal  
COMBINATORICA     Hybrid Journal  
Combinatorics, Probability and Computing     Hybrid Journal   (Followers: 4)
Combustion Theory and Modelling     Hybrid Journal   (Followers: 14)
Commentarii Mathematici Helvetici     Hybrid Journal   (Followers: 1)
Communications in Combinatorics and Optimization     Open Access  
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 2)
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: 8)
Compositio Mathematica     Full-text available via subscription   (Followers: 1)
Comptes Rendus Mathematique     Full-text available via subscription   (Followers: 1)
Computational and Applied Mathematics     Hybrid Journal   (Followers: 3)
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: 5)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 8)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 8)
Concrete Operators     Open Access   (Followers: 5)
Confluentes Mathematici     Hybrid Journal  
Contributions to Game Theory and Management     Open Access  
COSMOS     Hybrid Journal  
Cryptography and Communications     Hybrid Journal   (Followers: 13)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Current Research in Biostatistics     Open Access   (Followers: 9)
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: 30)
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)
Differentsial'nye Uravneniya     Open Access  
Discrete Mathematics     Hybrid Journal   (Followers: 8)
Discrete Mathematics & Theoretical Computer Science     Open Access  
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae - General Algebra and Applications     Open Access  
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Diskretnaya Matematika     Full-text available via subscription  
Dnipropetrovsk University Mathematics Bulletin     Open Access  
Doklady Akademii Nauk     Open Access  
Doklady Mathematics     Hybrid Journal  
Duke Mathematical Journal     Full-text available via subscription   (Followers: 1)
Eco Matemático     Open Access  
Econometrics     Open Access  
Edited Series on Advances in Nonlinear Science and Complexity     Full-text available via subscription  
Electronic Journal of Combinatorics     Open Access  
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)

        1 2 3 4 | Last

Journal Cover
Bulletin des Sciences Mathamatiques
Journal Prestige (SJR): 0.96
Citation Impact (citeScore): 1
Number of Followers: 4  
 
  Full-text available via subscription Subscription journal
ISSN (Print) 0007-4497
Published by Elsevier Homepage  [3162 journals]
  • Weak differentiability of Wiener functionals and occupation times
    • Abstract: Publication date: Available online 4 July 2018Source: Bulletin des Sciences MathématiquesAuthor(s): Dorival Leão, Alberto Ohashi, Alexandre B. Simas In this paper, we establish a universal variational characterization of the non-martingale components associated with weakly differentiable Wiener functionals in the sense of Leão, Ohashi and Simas. It is shown that any Dirichlet process (in particular semimartingales) is a differential form w.r.t Brownian motion driving noise. The drift components are characterized in terms of limits of integral functionals of horizontal-type perturbations and first-order variation driven by a two-parameter occupation time process. Applications to a class of path-dependent rough transformations of Brownian paths under finite p-variation (p≥2) regularity is also discussed. Under stronger regularity conditions in the sense of finite (p,q)-variation, the connection between weak differentiability and two-parameter local time integrals in the sense of Young is established.
       
  • Schrödinger–Hardy systems involving two Laplacian operators in
           the Heisenberg group
    • Abstract: Publication date: July 2018Source: Bulletin des Sciences Mathématiques, Volume 146Author(s): Sara Bordoni, Patrizia Pucci In this paper we first prove existence of nontrivial nonnegative solutions of a Schrödinger–Hardy system in the Heisenberg group, driven by two possibly different Laplacian operators. The main originality of the paper is to work in the Heisenberg group. In fact several new theorems have to be proved in order to overcome the difficulties arising in the new framework, also due to the presence of the Hardy terms and the fact that the nonlinearities do not necessarily satisfy the Ambrosetti–Rabinowitz condition. Finally, we discuss and prove existence even for systems in the Heisenberg group, including critical nonlinear terms.RésuméDans ce travail nous prouvons d'abord l'existence de solutions non négatives non triviales pour une classe de systèmes de Schrödinger–Hardy dans le groupe de Heisenberg, entraînés par deux opérateurs différents du type de Laplace. L'originalité de cet article porte surtout dans l'analyse developée dans le cadre du groupe de Heisenberg. En fait, plusieurs nouveaux théorèmes doivent être prouvés afin de surmonter les difficultés découlant du nouveau cadre, également en raison de la présence des termes de Hardy et du fait que les non-linéarités ne satisfont pas nécessairement la condition de Ambrosetti et Rabinowitz. Enfin, nous discutons et prouvons l'existence même pour les systèmes dans le groupe de Heisenberg, y compris dans le cas des termes non linéaires critiques.
       
  • Twisted argyle quivers and Higgs bundles
    • Abstract: Publication date: July 2018Source: Bulletin des Sciences Mathématiques, Volume 146Author(s): Steven Rayan, Evan Sundbo Ordinarily, quiver varieties are constructed as moduli spaces of quiver representations in the category of vector spaces. It is also natural to consider quiver representations in a richer category, namely that of vector bundles on some complex variety equipped with a fixed sheaf that twists the morphisms. Representations of A-type quivers in this twisted category — known in the literature as “holomorphic chains” — have practical use in questions concerning the topology of the moduli space of Higgs bundles. In that problem, the variety is a Riemann surface of genus at least 2, and the twist is its canonical line bundle. We extend the treatment of twisted A-type quiver representations to any genus using the Hitchin stability condition induced by Higgs bundles and computing their deformation theory. We then focus in particular on so-called “argyle quivers”, where the rank labelling alternates between 1 and integers ri≥1. We give explicit geometric identifications of moduli spaces of twisted representations of argyle quivers on P1 using invariant theory for a non-reductive action via Euclidean reduction on polynomials. This leads to a stratification of the moduli space by change of bundle type, which we identify with “collision manifolds” of invariant zeroes of polynomials. We also relate the present work to Bradlow–Daskalopoulos stability and Thaddeus' pullback maps to stable tuples. We apply our results to computing Q-Betti numbers of low-rank twisted Higgs bundle moduli spaces on P1, where the Higgs fields take values in an arbitrary ample line bundle. Our results agree with conjectural Poincaré series arising from the ADHM recursion formula.
       
  • H 2 ( D n ) &rft.title=Bulletin+des+Sciences+Mathamatiques&rft.issn=0007-4497&rft.date=&rft.volume=">Toeplitz and asymptotic Toeplitz operators on H 2 ( D n )
    • Abstract: Publication date: July 2018Source: Bulletin des Sciences Mathématiques, Volume 146Author(s): Amit Maji, Jaydeb Sarkar, Srijan Sarkar We initiate a study of Toeplitz operators and asymptotic Toeplitz operators on the Hardy space H2(Dn) (over the unit polydisc Dn in Cn). Our main results on Toeplitz and asymptotic Toeplitz operators can be stated as follows: Let Tzi denote the multiplication operator on H2(Dn) by the i-th coordinate function zi, i=1,…,n, and let T be a bounded linear operator on H2(Dn). Then the following hold:(i)T is a Toeplitz operator (that is, T=PH2(Dn)Mφ H2(Dn), where Mφ is the Laurent operator on L2(Tn) for some φ∈L∞(Tn)) if and only if Tzi⁎TTzi=T for all i=1,…,n.(ii)T is an asymptotic Toeplitz operator if and only if T=Toeplitz+compact. The case n=1 is the well known results of Brown and Halmos, and Feintuch, respectively. We also present related results in the setting of vector-valued Hardy spaces over the unit disc.
       
  • Invariant measures for the non-periodic two-dimensional Euler equation
    • Abstract: Publication date: Available online 30 June 2018Source: Bulletin des Sciences MathématiquesAuthor(s): Ana Bela Cruzeiro, Alexandra Symeonides We construct Gaussian invariant measures for the 2D Euler equation on the plane. We obtain them as the weak limit of those previously considered in [1] for the torus. We show the existence of solution with initial conditions on the support of the measures. Uniqueness and continuity of the velocity flow are proved.
       
  • Structural rigidity of generalised Volterra operators on
           H p
    • Abstract: Publication date: Available online 19 June 2018Source: Bulletin des Sciences MathématiquesAuthor(s): Santeri Miihkinen, Pekka J. Nieminen, Eero Saksman, Hans-Olav Tylli We show that the non-compact generalised analytic Volterra operators Tg, where g∈BMOA, have the following structural rigidity property on the Hardy spaces Hp for 1≤p
       
  • Conjugation orbits of loxodromic pairs in SU(n,1)
    • Abstract: Publication date: Available online 18 June 2018Source: Bulletin des Sciences MathématiquesAuthor(s): Krishnendu Gongopadhyay, Shiv Parsad Let HCn be the n-dimensional complex hyperbolic space and SU(n,1) be the (holomorphic) isometry group. An element g in SU(n,1) is called loxodromic or hyperbolic if it has exactly two fixed points on the boundary ∂HCn. We classify SU(n,1) conjugation orbits of pairs of loxodromic elements in SU(n,1).
       
  • Existence of global solutions for a class of vector fields on the
           three-dimensional torus
    • Abstract: Publication date: Available online 15 June 2018Source: Bulletin des Sciences MathématiquesAuthor(s): Adalberto P. Bergamasco, Paulo L. Dattori da Silva, Rafael B. Gonzalez This work deals with global solvability of a class of vector fields of the form L=∂/∂t+(a(x)+ib(x))(∂/∂x+λ∂/∂y), where a,b∈C∞(T1,R) and λ∈R, defined on the three-dimensional torus T3(x,y,t)≃R3/2πZ3. In addition to the interplay between the order of vanishing of the functions a and b, the change of sign of b between two consecutive zeros of a+ib has influence in the global solvability. Also, a Diophantine condition appears in a natural way in our results.
       
  • Hardy–Littlewood and Pitt's inequalities for Hausdorff operators
    • Abstract: Publication date: Available online 15 June 2018Source: Bulletin des Sciences MathématiquesAuthor(s): M. Dyachenko, E. Nursultanov, S. Tikhonov In this paper we study transformed trigonometric series with Hausdorff averages of Fourier coefficients. We prove Hardy–Littlewood and Pitt's inequalities for such series. The corresponding results for the Hausdorff averages of the Fourier transforms are also obtained.
       
  • Sharp seasonal threshold property for cooperative population dynamics with
           concave nonlinearities
    • Abstract: Publication date: Available online 15 June 2018Source: Bulletin des Sciences MathématiquesAuthor(s): Hongjun Ji, Martin Strugarek We consider a biological population whose environment varies periodically in time, exhibiting two very different “seasons”: one is favorable and the other one is unfavorable. For monotone differential models with concave nonlinearities, we address the following question: the system's period being fixed, under what conditions does there exist a critical duration for the unfavorable season' By “critical duration” we mean that above some threshold, the population cannot sustain and extincts, while below this threshold, the system converges to a unique periodic and positive solution. We term this a “sharp seasonal threshold property" (SSTP, for short).Building upon a previous result, we obtain sufficient conditions for SSTP in any dimension and apply our criterion to a two-dimensional model featuring juvenile and adult populations of insects.
       
  • An operator-valued kernel associated with a commuting tuple of Hilbert
           space operators
    • Abstract: Publication date: June 2018Source: Bulletin des Sciences Mathématiques, Volume 145Author(s): Sameer Chavan We associate a one parameter family of positive definite E-valued kernels Ka,T with any commuting d-tuple T of bounded linear operators on a Hilbert space H, where a is a multi-sequence of non-zero complex numbers and E is an auxiliary Hilbert space. If Ha,T denotes the reproducing kernel Hilbert space associated with Ka,T, then there exists an isometry Ua,T from Ha,T into H. It turns out that Ua,T is surjective if and only E is a cyclic subspace for T. We apply the above scheme to the commuting toral Cauchy dual d-tuple St and the constant multi-sequence at with value 1 (resp. commuting spherical Cauchy dual d-tuple Ss and the multi-sequence as,α:=(d+ α −1)!(d−1)!α!,α∈Nd) with E being the joint kernel of S⁎ to ensure an analytic model for S under some natural assumptions. In particular, the strictly higher dimensional obstruction to the intertwining of Ua,St with St (resp. the intertwining of Ua,Ss with Ss) and the multiplication tuple Mz is characterized in terms of a kernel condition. These results can be considered as toral and spherical analogs of Shimorin's Theorem (the case of d=1) stating that any left-invertible analytic operator admits an analytic model.
       
  • A propos de l'algèbre de Hopf des mots tassés
           WMat
    • Abstract: Publication date: June 2018Source: Bulletin des Sciences Mathématiques, Volume 145Author(s): Cécile MammezRésuméDans cet article, on étudie l'algèbre de Hopf des mots tassés WMat introduite par Duchamp, Hoang-Nghia et Tanasa. Pour cela on commence par considérer WMat à proprement parler (absence de coliberté et description du dual). Puis, on s'intéresse à une sous-algèbre de Hopf de permutations, notée SH, dont le dual SH⊛ est muni d'une structure de quadri-algèbre et donc d'une double structure d'algèbre dendriforme. On introduit par la suite ISPW, une algèbre de Hopf de mots tassés stricts croissants. Son caractère cocommutatif pousse à s'intéresser à ses éléments primitifs. On en décrit quelques familles. On montre ensuite que ISPW et l'algèbre de Hopf NSym des fonctions symétriques non commutatives sont isomorphes. On définit par la suite une algèbre de Hopf quotient de compositions étendues Ce. Celle-ci n'est pas cocommutative mais ses éléments primitifs sont liés à ceux de ISPW. De plus, on exprime Ce comme un coproduit semi-direct d'algèbres de Hopf. Cette construction met à jour une coaction permettant par la suite de définir deux actions de groupes. On termine par la construction d'un isomorphisme explicite entre ISPW⊛ et QSym conduisant à un isomorphisme explicite entre ISPW et NSym. In this article we study the packed words Hopf algebra WMat introduced by Duchamp, Hoang-Nghia et Tanasa. We start by explaining that WMat is not cofree, giving its antipode and describing its graded dual. We consider then a Hopf sub-algebra of permutations called SH. Its graded dual SH⊛ has a quadri-algebra structure, so it has a double dendriform algebra structure too. Thereafter, we introduce ISPW, a Hopf algebra of increasing strict packed words. It is graded, connected and cocommutative so is isomorphic to the enveloping algebra of its primitive elements. We describe some families of primitive elements. We prove that ISPW and non commutative symmetric functions are isomorphic. We define then an extended compositions Hopf algebra Ce. It is not cocommutative but its primitive elements and those from ISPW are linked. We give an interpretation of Ce in terms of a semi-direct coproduct Hopf algebra. By using this, we can define two actions groups. We finish by giving an explicit isomorphism between ISPW⊛ and QSym and another one between ISPW and NSym.
       
  • Operator-valued Jacobi parameters and examples of operator-valued
           distributions
    • Abstract: Publication date: June 2018Source: Bulletin des Sciences Mathématiques, Volume 145Author(s): Michael Anshelevich, John D. Williams In the setting of distributions taking values in a C⁎-algebra B, we define generalized Jacobi parameters and study distributions they generate. These include numerous known examples and one new family, of B-valued free binomial distributions, for which we are able to compute free convolution powers. Moreover, we develop a convenient combinatorial method for calculating the joint distributions of B-free random variables with Jacobi parameters, utilizing two-color non-crossing partitions. This leads to several new explicit examples of free convolution computations in the operator-valued setting. Additionally, we obtain a counting algorithm for the number of two-color non-crossing pairings of relative finite depth, using only free probabilistic techniques. Finally, we show that the class of distributions with Jacobi parameters is not closed under free convolution.
       
  • Non-emptiness of Brill-Noether Loci over very general quintic hypersurface
    • Abstract: Publication date: Available online 14 May 2018Source: Bulletin des Sciences MathématiquesAuthor(s): Krishanu Dan, Sarbeswar Pal In this article we study Brill-Noether loci of moduli space of stable bundles over smooth surfaces. We define Petri map as an analogy with the case of curves. We show the non-emptiness of certain Brill-Noether loci over very general quintic hypersurface in P3, and use the Petri map to produce components of expected dimension.
       
  • On the center criterion of planar quasi-homogeneous polynomial
           differential systems
    • Abstract: Publication date: Available online 12 April 2018Source: Bulletin des Sciences MathématiquesAuthor(s): Liwei Zhang, Jiang Yu In this paper, we characterize the centers of the quasi-homogeneous planar polynomial differential systems of any degree n∈N. First, we prove that the system does not admit centers if n is even, then present the sufficient and necessary conditions that the system admits a center if n is odd. Furthermore, we provide a simple method to obtain such these systems with center for a given order.
       
  • k-Uniform Rotundity is equivalent to k-Uniform Convexity
    • Abstract: Publication date: Available online 28 March 2018Source: Bulletin des Sciences MathématiquesAuthor(s): W. Ramasinghe R. Geremia and F. Sullivan proved that 2-uniform rotundity is equivalent to 2-uniform convexity. Pei-kee Lin extended this result for any integer k≥1. This paper gives a different proof for the equivalence of k-uniform rotundity and k-uniform convexity for any integer k≥1.
       
 
 
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