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  Subjects -> MATHEMATICS (Total: 969 journals)
    - APPLIED MATHEMATICS (84 journals)
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    - MATHEMATICS (714 journals)
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MATHEMATICS (714 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     Full-text available via subscription   (Followers: 28)
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: 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: 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: 13)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 3)
Advances in Materials Sciences     Open Access   (Followers: 14)
Advances in Mathematical Physics     Open Access   (Followers: 4)
Advances in Mathematics     Full-text available via subscription   (Followers: 11)
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: 5)
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: 11)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access   (Followers: 1)
Algebra and Logic     Hybrid Journal   (Followers: 5)
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)
American Mathematical Monthly     Full-text available via subscription   (Followers: 6)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 8)
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: 5)
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: 4)
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   (Followers: 1)
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 12)
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)
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: 11)
Applied Mathematics     Open Access   (Followers: 3)
Applied Mathematics     Open Access   (Followers: 7)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 6)
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: 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: 2)
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 : 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: 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)
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: 18)
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  
College Mathematics Journal     Full-text available via subscription   (Followers: 4)
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: 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: 5)
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: 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: 29)
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  
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 Expositiones Mathematicae
  [SJR: 0.453]   [H-I: 16]   [2 followers]  Follow
    
   Hybrid Journal Hybrid journal (It can contain Open Access articles)
   ISSN (Print) 0723-0869
   Published by Elsevier Homepage  [3175 journals]
  • Concepts of curvatures in normed planes
    • Authors: Vitor Balestro; Horst Martini; Emad Shonoda
      Abstract: Publication date: Available online 22 April 2018
      Source:Expositiones Mathematicae
      Author(s): Vitor Balestro, Horst Martini, Emad Shonoda
      The theory of classical types of curves in normed planes is not strongly developed. In particular, the knowledge on existing concepts of curvatures of planar curves is widespread and not systematized in the literature. Giving a comprehensive overview on geometric properties of and relations between all introduced curvature concepts, we try to fill this gap. To complete and clarify the whole picture, we show which known concepts are equivalent, and add also a new type of curvature. Certainly, this yields a basis for further research and also for possible extensions of the whole existing framework. In addition, we derive various new results referring in full broadness to the variety of known curvature types in normed planes. These new results involve characterizations of curves of constant curvature, new characterizations of Radon planes and the Euclidean subcase, and analogues to classical statements like the four vertex theorem and the fundamental theorem on planar curves. We also introduce a new curvature type, for which we verify corresponding properties. As applications of the little theory developed in our expository paper, we study the curvature behaviour of curves of constant width and obtain also new results on notions like evolutes, involutes, and parallel curves.

      PubDate: 2018-04-25T08:33:49Z
      DOI: 10.1016/j.exmath.2018.04.002
       
  • Saddle-point solutions to Dirichlet problems on the Sierpiński gasket
    • Authors: Marek Galewski; Luca Vilasi
      Abstract: Publication date: Available online 20 April 2018
      Source:Expositiones Mathematicae
      Author(s): Marek Galewski, Luca Vilasi
      We provide sufficient conditions for the existence of saddle-point solutions to a system driven by the weak Laplacian on the Sierpiński gasket. We analyze also its stability by proving its continuous dependence on parameters.

      PubDate: 2018-04-25T08:33:49Z
      DOI: 10.1016/j.exmath.2018.04.001
       
  • Topological laminations on surfaces
    • Authors: Luis-Miguel Lopez
      Abstract: Publication date: Available online 9 April 2018
      Source:Expositiones Mathematicae
      Author(s): Luis-Miguel Lopez
      We present and prove a topological characterization of geodesic laminations on hyperbolic surfaces of finite type.

      PubDate: 2018-04-25T08:33:49Z
      DOI: 10.1016/j.exmath.2018.03.005
       
  • Proper homotopy types and Z-boundaries of spaces admitting geometric group
           actions
    • Authors: Craig R. Guilbault; Molly A. Moran
      Abstract: Publication date: Available online 20 March 2018
      Source:Expositiones Mathematicae
      Author(s): Craig R. Guilbault, Molly A. Moran
      We extend several techniques and theorems from geometric group theory so they apply to geometric actions on arbitrary proper metric ARs (absolute retracts). Previous versions often required actions on CW complexes, manifolds, or proper CAT(0) spaces, or else included a finite-dimensionality hypothesis. We remove those requirements, providing proofs that simultaneously cover all of the usual variety of spaces. A second way that we generalize earlier results is by eliminating a freeness requirement often placed on the group actions. In doing so, we allow for groups with torsion. The main theorems are new in that they generalize results found in the literature, but a significant aim is expository. Toward that end, brief but reasonably comprehensive introductions to the theories of ANRs (absolute neighborhood retracts) and Z -sets are included, as well as a much shorter introduction to shape theory. Here is a sampling of the theorems proved here. Theorem. If quasi-isometric groups G  and H  act geometrically on proper metric ARs X  and Y , resp., then X  is proper homotopy equivalent to Y . Theorem. If quasi-isometric groups G  and H  act geometrically on proper metric ARs X  and Y , resp., and Y  can be compactified to a Z -structure Y ¯ , Z  for H , then the same boundary can be added to X  to obtain a Z -structure for G . Theorem. If quasi-isometric groups G and H  admit Z -structures X ¯ , Z 1  and Y ¯ , Z 2 , resp., then Z 1  and Z 2  are shape equivalent.

      PubDate: 2018-04-25T08:33:49Z
      DOI: 10.1016/j.exmath.2018.03.004
       
  • An improvement of the Kolmogorov–Riesz compactness theorem
    • Authors: Harald Hanche-Olsen; Helge Holden; Eugenia Malinnikova
      Abstract: Publication date: Available online 16 March 2018
      Source:Expositiones Mathematicae
      Author(s): Harald Hanche-Olsen, Helge Holden, Eugenia Malinnikova
      The purpose of this short note is to provide a new and very short proof of a result by Sudakov (1957), offering an important improvement of the classical result by Kolmogorov–Riesz on compact subsets of Lebesgue spaces.

      PubDate: 2018-04-25T08:33:49Z
      DOI: 10.1016/j.exmath.2018.03.002
       
  • The Balian–Low theorem and noncommutative tori
    • Authors: Franz Luef
      Abstract: Publication date: Available online 16 March 2018
      Source:Expositiones Mathematicae
      Author(s): Franz Luef
      We point out a link between the theorem of Balian and Low on the non-existence of well-localized Gabor–Riesz bases and a constant curvature connection on projective modules over noncommutative tori.

      PubDate: 2018-04-25T08:33:49Z
      DOI: 10.1016/j.exmath.2018.03.003
       
  • Local polar invariants for plane singular foliations
    • Authors: Felipe Cano; Nuria Corral; Rogério Mol
      Abstract: Publication date: Available online 10 January 2018
      Source:Expositiones Mathematicae
      Author(s): Felipe Cano, Nuria Corral, Rogério Mol
      In this survey paper, we take the viewpoint of polar invariants to the local and global study of non-dicritical holomorphic foliation in dimension two and their invariant curves. It appears a characterization of second type foliations and generalized curve foliations as well as a description of the G S V -index in terms of polar curves. We also interpret the proofs concerning the Poincaré problem with polar invariants.

      PubDate: 2018-02-25T18:05:16Z
      DOI: 10.1016/j.exmath.2018.01.003
       
  • Intuitive dyadic calculus: The basics
    • Authors: Andrei K. Lerner; Fedor Nazarov
      Abstract: Publication date: Available online 10 January 2018
      Source:Expositiones Mathematicae
      Author(s): Andrei K. Lerner, Fedor Nazarov
      This article is divided into two parts. In the first part we present a general theory of the dyadic lattices. In the second part we show several applications of this theory to harmonic analysis: a decomposition of an arbitrary measurable function in terms of its local mean oscillations, and a pointwise bound of Calderón–Zygmund operators by sparse operators.

      PubDate: 2018-02-25T18:05:16Z
      DOI: 10.1016/j.exmath.2018.01.001
       
  • On the Bures–Wasserstein distance between positive definite matrices
    • Authors: Rajendra Bhatia; Tanvi Jain; Yongdo Lim
      Abstract: Publication date: Available online 10 January 2018
      Source:Expositiones Mathematicae
      Author(s): Rajendra Bhatia, Tanvi Jain, Yongdo Lim
      The metric d ( A , B ) = tr A + tr B − 2 tr ( A 1 ∕ 2 B A 1 ∕ 2 ) 1 ∕ 2 1 ∕ 2 on the manifold of n × n positive definite matrices arises in various optimisation problems, in quantum information and in the theory of optimal transport. It is also related to Riemannian geometry. In the first part of this paper we study this metric from the perspective of matrix analysis, simplifying and unifying various proofs. Then we develop a theory of a mean of two, and a barycentre of several, positive definite matrices with respect to this metric. We explain some recent work on a fixed point iteration for computing this Wasserstein barycentre. Our emphasis is on ideas natural to matrix analysis.

      PubDate: 2018-02-25T18:05:16Z
      DOI: 10.1016/j.exmath.2018.01.002
       
  • Complex adjoint orbits in Lie theory and geometry
    • Authors: Peter Crooks
      Abstract: Publication date: Available online 2 January 2018
      Source:Expositiones Mathematicae
      Author(s): Peter Crooks
      This expository article is an introduction to the adjoint orbits of complex semisimple groups, primarily in the algebro-geometric and Lie-theoretic contexts, and with a pronounced emphasis on the properties of semisimple and nilpotent orbits. It is intended to build a foundation for more specialized settings in which adjoint orbits feature prominently (ex. hyperkähler geometry, Landau-Ginzburg models, and the theory of symplectic singularities). Also included are a few arguments and observations that, to the author’s knowledge, have not yet appeared in the research literature.

      PubDate: 2018-01-09T22:38:13Z
      DOI: 10.1016/j.exmath.2017.12.001
       
  • The matricial range of E21
    • Authors: Argerami
      Abstract: Publication date: Available online 1 January 2018
      Source:Expositiones Mathematicae
      Author(s): Martín Argerami
      The matricial range of the 2  ×  2 matrix E 21 (i.e., the 2  ×  2 unilateral shift) is described very simply: it consists of all matrices with numerical radius at most 1 ∕ 2 . The known proofs of this simple statement, however, are far from trivial and they depend on subtle results on dilations. We offer here a brief introduction to the matricial range and a recap of those two proofs, following independent work of Arveson and Ando in the early 1970s.

      PubDate: 2018-01-09T22:38:13Z
       
  • Srishti Dhar Chatterji (1935 –2017)
    • Authors: Robert C. Dalang
      First page: 363
      Abstract: Publication date: December 2017
      Source:Expositiones Mathematicae, Volume 35, Issue 4
      Author(s): Robert C. Dalang


      PubDate: 2017-12-13T11:42:42Z
      DOI: 10.1016/j.exmath.2017.11.001
       
  • Fonctions complètement multiplicatives de somme nulle
    • Authors: Jean-Pierre Kahane; Eric Saias
      Pages: 364 - 389
      Abstract: Publication date: Available online 17 May 2017
      Source:Expositiones Mathematicae
      Author(s): Jean-Pierre Kahane, Eric Saias
      Let f be a function from N ∗ to C not identically 0 . We call it C M O if f ( a b ) = f ( a ) f ( b ) for all a and b and ∑ n = 1 + ∞ f ( n ) = 0 . We give properties and examples of C M O functions. A basic example goes back to Euler, namely f ( p ) = − 1 ∕ p for every prime number p . We study how far from this example the C M O character is kept. The zeroes of Dirichlet series are implied in this study, as well as in other examples. The relation between C M O and the generalized Riemann hypothesis is pointed out at the end of the article.

      PubDate: 2017-05-21T07:40:10Z
      DOI: 10.1016/j.exmath.2017.05.002
       
  • Fundamental isomorphism theorems for quantum groups
    • Authors: Alexandru Chirvasitu; Souleiman Omar Hoche; Paweł Kasprzak
      Pages: 390 - 442
      Abstract: Publication date: Available online 8 May 2017
      Source:Expositiones Mathematicae
      Author(s): Alexandru Chirvasitu, Souleiman Omar Hoche, Paweł Kasprzak
      The lattice of subgroups of a group is the subject of numerous results revolving around the central theme of decomposing the group into ”chunks” (subquotients) that can then be compared to one another in various ways. Examples of results in this class would be the Noether isomorphism theorems, Zassenhaus’ butterfly lemma, the Schreier refinement theorem, the Dedekind modularity law, and last but not least the Jordan-Hölder theorem. We discuss analogues of the above-mentioned results in the context of locally compact quantum groups and linearly reductive quantum groups. The nature of the two cases is different: the former is operator algebraic and the latter Hopf algebraic, hence the corresponding two-part organization of our study. Our intention is that the analytic portion be accessible to the algebraist and vice versa. The upshot is that in the locally compact case one often needs further assumptions (integrability, compactness, discreteness). In the linearly reductive case on the other hand, the quantum versions of the results hold without further assumptions. Moreover the case of compact / discrete quantum groups is usually covered by both the linearly reductive and the locally compact framework, thus providing a bridge between the two.

      PubDate: 2017-05-11T05:46:06Z
      DOI: 10.1016/j.exmath.2017.05.001
       
  • On functions K and E generated by a sequence of moments
    • Authors: Avner Kiro; Mikhail Sodin
      Pages: 443 - 477
      Abstract: Publication date: Available online 17 May 2017
      Source:Expositiones Mathematicae
      Author(s): Avner Kiro, Mikhail Sodin
      For a class of functions γ analytic in the angle { s : arg ( s ) < α 0 } with π 2 < α 0 < π , we describe the asymptotic behaviour of the entire function E ( z ) = ∑ n ≥ 0 z n γ ( n + 1 ) and of the analytic function K ( z ) = 1 2 π i ∫ c − i ∞ c + i ∞ z − s γ ( s ) d s that solves the moment problem ∫ 0 ∞ t n K ( t ) d t = γ ( n + 1 ) , n ≥ 0 .

      PubDate: 2017-05-21T07:40:10Z
      DOI: 10.1016/j.exmath.2017.05.004
       
  • Universal p′-central extensions
    • Authors: Caroline Lassueur; Jacques Thévenaz
      Pages: 237 - 251
      Abstract: Publication date: Available online 5 January 2017
      Source:Expositiones Mathematicae
      Author(s): Caroline Lassueur, Jacques Thévenaz
      It is well-known that a finite group possesses a universal central extension if and only if it is a perfect group. Similarly, given a prime number p , we show that a finite group possesses a universal p ′ -central extension if and only if the p ′ -part of its abelianization is trivial. This question arises naturally when working with group representations over a field of characteristic  p .

      PubDate: 2017-01-11T11:20:22Z
      DOI: 10.1016/j.exmath.2016.12.004
       
  • The cardinal Krull dimension of a ring of holomorphic functions
    • Authors: Pete L. Clark
      Pages: 350 - 356
      Abstract: Publication date: Available online 18 March 2017
      Source:Expositiones Mathematicae
      Author(s): Pete L. Clark
      We give an exposition of a recent result of M. Kapovich on the cardinal Krull dimension of the ring of holomorphic functions on a connected C -manifold. By reducing to the one-dimensional case we give a stronger lower bound for Stein manifolds.

      PubDate: 2017-03-25T06:31:31Z
      DOI: 10.1016/j.exmath.2017.03.001
       
  • A fully stochastic approach to limit theorems for iterates of Bernstein
           operators
    • Authors: Takis Konstantopoulos; Linglong Yuan; Michael A. Zazanis
      Abstract: Publication date: Available online 14 November 2017
      Source:Expositiones Mathematicae
      Author(s): Takis Konstantopoulos, Linglong Yuan, Michael A. Zazanis
      This paper presents a stochastic approach to theorems concerning the behavior of iterations of the Bernstein operator B n taking a continuous function f ∈ C [ 0 , 1 ] to a degree- n polynomial when the number of iterations k tends to infinity and n is kept fixed or when n tends to infinity as well. In the first instance, the underlying stochastic process is the so-called Wright–Fisher model, whereas, in the second instance, the underlying stochastic process is the Wright–Fisher diffusion. Both processes are probably the most basic ones in mathematical genetics. By using Markov chain theory and stochastic compositions, we explain probabilistically a theorem due to Kelisky and Rivlin, and by using stochastic calculus we compute a formula for the application of B n a number of times k = k ( n ) to a polynomial f when k ( n ) ∕ n tends to a constant.

      PubDate: 2017-11-15T22:32:48Z
      DOI: 10.1016/j.exmath.2017.10.001
       
  • The Quillen model category of topological spaces
    • Authors: Philip S. Hirschhorn
      Abstract: Publication date: Available online 10 November 2017
      Source:Expositiones Mathematicae
      Author(s): Philip S. Hirschhorn
      We give a complete and careful proof of Quillen’s theorem on the existence of the standard model category structure on the category of topological spaces. We do not assume any familiarity with model categories.

      PubDate: 2017-11-15T22:32:48Z
      DOI: 10.1016/j.exmath.2017.10.004
       
  • Non-differentiability and Hölder properties of self-affine functions
    • Authors: Serge Dubuc
      Abstract: Publication date: Available online 10 November 2017
      Source:Expositiones Mathematicae
      Author(s): Serge Dubuc
      We consider the class of self-affine functions. Firstly, we characterize all nowhere differentiable self-affine continuous functions. Secondly, given a self-affine continuous function ϕ , we investigate its Hölder properties. We find its best uniform Hölder exponent and when ϕ is C 1 , we find the best uniform Hölder exponent of ϕ ′ . Thirdly, we show that the Hölder cut of ϕ takes the same value almost everywhere for the Lebesgue measure. This last result is a consequence of the Borel strong law of large numbers.

      PubDate: 2017-11-15T22:32:48Z
      DOI: 10.1016/j.exmath.2017.10.002
       
  • On the perfection of schemes
    • Authors: Alessandra Bertapelle; Cristian D. González-Avilés
      Abstract: Publication date: Available online 1 September 2017
      Source:Expositiones Mathematicae
      Author(s): Alessandra Bertapelle, Cristian D. González-Avilés
      We present a detailed and elementary construction of the inverse perfection of a scheme and discuss some of its main properties. We also establish a number of auxiliary results (for example, on inverse limits of schemes) which do not seem to appear in the literature.

      PubDate: 2017-09-06T18:14:12Z
      DOI: 10.1016/j.exmath.2017.08.001
       
  • Stability problem for the composite type functional equations
    • Authors: Ravi P. Agarwal; Janusz Brzdęk; Jacek Chudziak
      Abstract: Publication date: Available online 30 August 2017
      Source:Expositiones Mathematicae
      Author(s): Ravi P. Agarwal, Janusz Brzdęk, Jacek Chudziak
      Composite type functional equations in several variables play a significant role in various branches of mathematics and they have several interesting applications. Therefore their stability properties are of interest. The aim of this paper is to present a survey of some results and methods concerning stability of several of such equations; especially those somehow connected to the well known Gołąb-Schinzel equation.

      PubDate: 2017-08-31T14:57:24Z
      DOI: 10.1016/j.exmath.2017.08.002
       
  • Weakly hyperbolic involutions
    • Authors: Karim Johannes Becher; Thomas Unger
      Abstract: Publication date: Available online 30 August 2017
      Source:Expositiones Mathematicae
      Author(s): Karim Johannes Becher, Thomas Unger
      Pfister’s Local-Global Principle states that a quadratic form over a (formally) real field is weakly hyperbolic (i.e. represents a torsion element in the Witt ring) if and only if its total signature is zero. This result extends naturally to the setting of central simple algebras with involution. The present article provides a new proof of this result and extends it to the case of signatures at preorderings. Furthermore the quantitative relation between nilpotence and torsion is explored for quadratic forms as well as for central simple algebras with involution.

      PubDate: 2017-08-31T14:57:24Z
      DOI: 10.1016/j.exmath.2017.08.006
       
  • Convex bodies via gravitational potentials
    • Authors: Hou Xiao
      Abstract: Publication date: Available online 30 August 2017
      Source:Expositiones Mathematicae
      Author(s): S. Hou, J. Xiao
      This note geometrically generalizes the main theorem in H. Shahgholian, A characterization of the sphere in terms of single-layer potentials, Proc. Amer. Math. Soc. 115 (1992) 1167-1168, from R 3 to R n ≥ 2 via the Minkowski functional of a convex body with the origin in its interior.

      PubDate: 2017-08-31T14:57:24Z
       
  • Basics on the theory of heights and its applications to certain
           diophantine problems
    • Authors: Umberto Zannier
      Abstract: Publication date: Available online 30 August 2017
      Source:Expositiones Mathematicae
      Author(s): Umberto Zannier
      The present article offers an overview of the basic theory of heights of algebraic points on varieties, illustrating some applications, mainly of diophantine type. The exposition is informal and with little detail, modelled on three lectures delivered by the author at the Fields Institute in Toronto in February 2017.

      PubDate: 2017-08-31T14:57:24Z
      DOI: 10.1016/j.exmath.2017.08.008
       
  • Rosenberg’s reconstruction theorem
    • Authors: Martin Brandenburg
      Abstract: Publication date: Available online 30 August 2017
      Source:Expositiones Mathematicae
      Author(s): Martin Brandenburg
      Alexander L. Rosenberg has constructed a spectrum for abelian categories which is able to reconstruct a quasi-separated scheme from its category of quasi-coherent sheaves. In this note we present a detailed proof of this result which is due to Ofer Gabber. Moreover, we determine the automorphism class group of the category of quasi-coherent sheaves.

      PubDate: 2017-08-31T14:57:24Z
      DOI: 10.1016/j.exmath.2017.08.005
       
  • Gelfand-Mazur Theorems in normed algebras: A survey
    • Authors: S.J. Bhatt; S.H. Kulkarni
      Abstract: Publication date: Available online 30 August 2017
      Source:Expositiones Mathematicae
      Author(s): S.J. Bhatt, S.H. Kulkarni
      The Gelfand-Mazur Theorem, a very basic theorem in the theory of Banach algebras states that: (Real version) Every real normed division algebra is isomorphic to the algebra of all real numbers R , the complex numbers C or the quarternions H ; (Complex version) Every complex normed division algebra is isometrically isomorphic to C . This theorem has undergone a large number of generalizations. We present a survey of these generalizations and also discuss some closely related unsettled issues.

      PubDate: 2017-08-31T14:57:24Z
      DOI: 10.1016/j.exmath.2017.08.004
       
  • On the constants for some fractional Gagliardo–Nirenberg and Sobolev
           inequalities
    • Authors: Carlo Morosi; Livio Pizzocchero
      Abstract: Publication date: Available online 30 August 2017
      Source:Expositiones Mathematicae
      Author(s): Carlo Morosi, Livio Pizzocchero
      We consider the inequalities of Gagliardo–Nirenberg and Sobolev in R d , formulated in terms of the Laplacian Δ and of the fractional powers D n ≔ − Δ n with real n ⩾ 0 ; we review known facts and present novel, complementary results in this area. After illustrating the equivalence between these two inequalities and the relations between the corresponding sharp constants and maximizers, we focus the attention on the ℒ 2 case where, for all sufficiently regular f : R d → C , the norm ‖ D j f ‖ ℒ r is bounded in terms of ‖ f ‖ ℒ 2 and ‖ D n f ‖ ℒ 2 , for 1 ∕ r = 1 ∕ 2 − ( ϑ n − j ) ∕ d , and suitable values of j , n , ϑ (with j , n possibly noninteger). In the special cases ϑ = 1 and ϑ = j ∕ n + d ∕ 2 n (i.e., r = + ∞ ), related to previous results of Lieb and Ilyin, the sharp constants and the maximizers can be found explicitly; we point out that the maximizers can be expressed in terms of hypergeometric, Fox and Meijer functions. For the general ℒ 2 case, we present two kinds of upper bounds on the sharp constants: the first kind is suggested by the literature, the second one is an alternative proposal of ours, often more precise than the first one. We also derive two kinds of lower bounds. Combining all the available upper and lower bounds, the sharp constants are confined to quite narrow intervals. Several examples are given, including the numerical values of the previously mentioned bounds.

      PubDate: 2017-08-31T14:57:24Z
      DOI: 10.1016/j.exmath.2017.08.007
       
  • A note on the equioscillation theorem for best ridge function
           approximation
    • Authors: Ismailov
      Abstract: Publication date: Available online 17 May 2017
      Source:Expositiones Mathematicae
      Author(s): Vugar E. Ismailov
      We consider the approximation of a continuous function, defined on a compact set of the d -dimensional Euclidean space, by sums of two ridge functions. We obtain a necessary and sufficient condition for such a sum to be a best approximation. The result resembles the classical Chebyshev equioscillation theorem for polynomial approximation.

      PubDate: 2017-05-21T07:40:10Z
       
 
 
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