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  Subjects -> MATHEMATICS (Total: 1021 journals)
    - APPLIED MATHEMATICS (83 journals)
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    - MATHEMATICS (757 journals)
    - MATHEMATICS (GENERAL) (43 journals)
    - NUMERICAL ANALYSIS (22 journals)

MATHEMATICS (757 journals)            First | 1 2 3 4     

Showing 401 - 538 of 538 Journals sorted alphabetically
Journal of K-Theory     Full-text available via subscription  
Journal of Knot Theory and Its Ramifications     Hybrid Journal   (Followers: 1)
Journal of Kufa for Mathematics and Computer     Open Access   (Followers: 1)
Journal of Liquid Chromatography & Related Technologies     Hybrid Journal   (Followers: 7)
Journal of Logical and Algebraic Methods in Programming     Hybrid Journal  
Journal of Manufacturing Systems     Full-text available via subscription   (Followers: 4)
Journal of Mathematical Analysis and Applications     Full-text available via subscription   (Followers: 3)
Journal of mathematical and computational science     Open Access   (Followers: 7)
Journal of Mathematical and Fundamental Sciences     Open Access  
Journal of Mathematical Behavior     Hybrid Journal   (Followers: 2)
Journal of Mathematical Chemistry     Hybrid Journal   (Followers: 3)
Journal of Mathematical Cryptology     Hybrid Journal   (Followers: 1)
Journal of Mathematical Extension     Open Access   (Followers: 3)
Journal of Mathematical Finance     Open Access   (Followers: 7)
Journal of Mathematical Imaging and Vision     Hybrid Journal   (Followers: 6)
Journal of Mathematical Logic     Hybrid Journal   (Followers: 2)
Journal of Mathematical Modelling and Algorithms     Hybrid Journal   (Followers: 1)
Journal of Mathematical Neuroscience     Open Access   (Followers: 9)
Journal of Mathematical Sciences     Hybrid Journal  
Journal of Mathematical Sciences and Applications     Open Access   (Followers: 2)
Journal of Mathematical Sociology     Hybrid Journal   (Followers: 3)
Journal of Mathematics     Open Access  
Journal of Mathematics and Statistics     Open Access   (Followers: 8)
Journal of Mathematics and the Arts     Hybrid Journal   (Followers: 2)
Journal of Mathematics in Industry     Open Access  
Journal of Mathematics Research     Open Access   (Followers: 6)
Journal of Metallurgy     Open Access   (Followers: 7)
Journal of Modern Mathematics Frontier     Open Access  
Journal of Multidisciplinary Modeling and Optimization     Open Access  
Journal of Multivariate Analysis     Hybrid Journal   (Followers: 13)
Journal of Natural Sciences and Mathematics Research     Open Access  
Journal of Nonlinear Analysis and Optimization : Theory & Applications     Open Access   (Followers: 4)
Journal of Nonlinear Mathematical Physics     Hybrid Journal   (Followers: 1)
Journal of Nonlinear Science     Hybrid Journal  
Journal of Numerical Cognition     Open Access  
Journal of Numerical Mathematics     Hybrid Journal   (Followers: 2)
Journal of Optimization     Open Access   (Followers: 4)
Journal of Problem Solving     Open Access   (Followers: 2)
Journal of Progressive Research in Mathematics     Open Access  
Journal of Pseudo-Differential Operators and Applications     Hybrid Journal  
Journal of Pure and Applied Algebra     Full-text available via subscription   (Followers: 4)
Journal of Quantitative Analysis in Sports     Hybrid Journal   (Followers: 8)
Journal of Quantitative Linguistics     Hybrid Journal   (Followers: 6)
Journal of Scientific Computing     Hybrid Journal   (Followers: 18)
Journal of Scientific Research     Open Access  
Journal of Symbolic Computation     Hybrid Journal   (Followers: 1)
Journal of the Australian Mathematical Society     Full-text available via subscription  
Journal of the Egyptian Mathematical Society     Open Access  
Journal of the European Mathematical Society     Full-text available via subscription  
Journal of the Indian Mathematical Society     Hybrid Journal   (Followers: 1)
Journal of the Institute of Mathematics of Jussieu     Hybrid Journal  
Journal of the London Mathematical Society     Hybrid Journal   (Followers: 2)
Journal of the Nigerian Mathematical Society     Open Access   (Followers: 1)
Journal of Theoretical and Applied Physics     Open Access   (Followers: 8)
Journal of Topology and Analysis     Hybrid Journal  
Journal of Transport and Supply Chain Management     Open Access   (Followers: 14)
Journal of Turbulence     Hybrid Journal   (Followers: 7)
Journal of Uncertainty Analysis and Applications     Open Access  
Journal of Universal Mathematics     Open Access  
Journal of Urban Regeneration & Renewal     Full-text available via subscription   (Followers: 10)
Journal of Water and Land Development     Open Access   (Followers: 3)
JRAMathEdu : Journal of Research and Advances in Mathematics Education     Open Access   (Followers: 3)
JURING (Journal for Research in Mathematics Learning)     Open Access   (Followers: 1)
Jurnal Ilmiah AdMathEdu     Open Access  
Jurnal Matematika     Open Access   (Followers: 1)
Jurnal Matematika Integratif     Open Access  
Jurnal Matematika, Sains, Dan Teknologi     Open Access  
Jurnal Natural     Open Access  
Jurnal Pendidikan Matematika Raflesia     Open Access  
Jurnal Penelitian Pembelajaran Matematika Sekolah     Open Access  
Jurnal Penelitian Sains (JPS)     Open Access  
Jurnal Riset Pendidikan Matematika     Open Access  
Jurnal Sains Matematika dan Statistika     Open Access  
Jurnal Tadris Matematika     Open Access  
Jurnal Teknologi dan Sistem Komputer     Open Access  
Kreano, Jurnal Matematika Kreatif-Inovatif     Open Access   (Followers: 5)
Le Matematiche     Open Access  
Learning and Teaching Mathematics     Full-text available via subscription   (Followers: 7)
Lettera Matematica     Hybrid Journal  
Limits : Journal of Mathematics and Its Applications     Open Access   (Followers: 1)
Linear Algebra and its Applications     Full-text available via subscription   (Followers: 18)
Linear and Multilinear Algebra     Hybrid Journal   (Followers: 8)
Lithuanian Mathematical Journal     Hybrid Journal  
LMS Journal of Computation and Mathematics     Free  
Lobachevskii Journal of Mathematics     Open Access  
Logic and Analysis     Hybrid Journal  
Logic Journal of the IGPL     Hybrid Journal  
Logica Universalis     Hybrid Journal  
manuscripta mathematica     Hybrid Journal  
MaPan : Jurnal Matematika dan Pembelajaran     Open Access  
Marine Genomics     Hybrid Journal   (Followers: 2)
Matemáticas, Educación y Sociedad     Open Access  
Matematicheskie Zametki     Full-text available via subscription  
Matematika     Open Access  
Matematychni Studii     Open Access  
Mathematica Eterna     Open Access  
Mathematica Scandinavica     Open Access   (Followers: 1)
Mathematica Slovaca     Hybrid Journal   (Followers: 1)
Mathematical and Computational Forestry & Natural-Resource Sciences     Free  
Mathematical Communications     Open Access  
Mathematical Computation     Open Access   (Followers: 1)
Mathematical Geosciences     Hybrid Journal   (Followers: 3)
Mathematical Medicine and Biology: A Journal of the IMA     Hybrid Journal   (Followers: 1)
Mathematical Methods in the Applied Sciences     Hybrid Journal   (Followers: 3)
Mathematical Methods of Statistics     Hybrid Journal   (Followers: 4)
Mathematical Modelling and Analysis     Open Access   (Followers: 1)
Mathematical Modelling in Civil Engineering     Open Access   (Followers: 5)
Mathematical Modelling of Natural Phenomena     Full-text available via subscription   (Followers: 1)
Mathematical Models and Methods in Applied Sciences     Hybrid Journal   (Followers: 2)
Mathematical Notes     Hybrid Journal  
Mathematical Proceedings of the Cambridge Philosophical Society     Full-text available via subscription   (Followers: 1)
Mathematical Programming Computation     Hybrid Journal   (Followers: 3)
Mathematical Sciences     Open Access  
Mathematical Social Sciences     Hybrid Journal   (Followers: 1)
Mathematical Theory and Modeling     Open Access   (Followers: 13)
Mathematical Thinking and Learning     Hybrid Journal   (Followers: 3)
Mathematics and Statistics     Open Access   (Followers: 5)
Mathematics Education Journal     Open Access   (Followers: 1)
Mathematics Education Research Journal     Partially Free   (Followers: 17)
Mathematics in Science and Engineering     Full-text available via subscription  
Mathematics of Control, Signals, and Systems (MCSS)     Hybrid Journal   (Followers: 4)
Mathematics of Quantum and Nano Technologies     Open Access  
Mathématiques et sciences humaines     Open Access   (Followers: 7)
Mathematische Annalen     Hybrid Journal   (Followers: 1)
Mathematische Nachrichten     Hybrid Journal   (Followers: 1)
Mathematische Semesterberichte     Hybrid Journal  
Mathematische Zeitschrift     Hybrid Journal   (Followers: 1)
MATI : Mathematical Aspects of Topological Indeces     Open Access  
MATICS     Open Access   (Followers: 1)
Matrix Science Mathematic     Open Access  
Measurement Science Review     Open Access   (Followers: 3)
Mediterranean Journal of Mathematics     Hybrid Journal  
Memetic Computing     Hybrid Journal  
Mendel : Soft Computing Journal     Open Access  
Metals and Materials International     Hybrid Journal  
Metascience     Hybrid Journal   (Followers: 1)
Milan Journal of Mathematics     Hybrid Journal  
Mitteilungen der DMV     Hybrid Journal  
MLQ- Mathematical Logic Quarterly     Hybrid Journal  
Monatshefte fur Mathematik     Hybrid Journal  
Moroccan Journal of Pure and Applied Analysis     Open Access   (Followers: 4)
Moscow University Mathematics Bulletin     Hybrid Journal  
MSOR Connections     Open Access   (Followers: 1)
Multiscale Modeling and Simulation     Hybrid Journal   (Followers: 3)
MUST : Journal of Mathematics Education, Science and Technology     Open Access   (Followers: 1)
Nagoya Mathematical Journal     Hybrid Journal  
Nano Research     Hybrid Journal   (Followers: 3)
Nanotechnologies in Russia     Hybrid Journal   (Followers: 1)
Natural Resource Modeling     Hybrid Journal  
New Mathematics and Natural Computation     Hybrid Journal  
Nonlinear Analysis : Modelling and Control     Open Access  
Nonlinear Analysis : Theory, Methods & Applications     Hybrid Journal   (Followers: 1)
Nonlinear Analysis: Hybrid Systems     Hybrid Journal  
Nonlinear Analysis: Real World Applications     Hybrid Journal   (Followers: 2)
Nonlinear Differential Equations and Applications NoDEA     Hybrid Journal  
Nonlinear Engineering     Open Access  
Nonlinear Oscillations     Hybrid Journal   (Followers: 1)
North Carolina Journal of Mathematics and Statistics     Open Access  
North-Holland Mathematical Library     Full-text available via subscription   (Followers: 1)
North-Holland Mathematics Studies     Full-text available via subscription  
North-Holland Series in Applied Mathematics and Mechanics     Full-text available via subscription   (Followers: 1)
Note di Matematica     Open Access  
NTM Zeitschrift für Geschichte der Wissenschaften, Technik und Medizin     Hybrid Journal   (Followers: 4)
Numeracy : Advancing Education in Quantitative Literacy     Open Access  
Numerical Analysis and Applications     Hybrid Journal   (Followers: 1)
Numerical Functional Analysis and Optimization     Hybrid Journal   (Followers: 2)
Numerical Linear Algebra with Applications     Hybrid Journal   (Followers: 4)
Numerical Mathematics : Theory, Methods and Applications     Full-text available via subscription  
Numerische Mathematik     Hybrid Journal  
Open Journal of Discrete Mathematics     Open Access   (Followers: 5)
Open Journal of Modelling and Simulation     Open Access   (Followers: 1)
Open Mathematics     Open Access   (Followers: 1)
Operations Research Letters     Hybrid Journal   (Followers: 11)
Optimization Letters     Hybrid Journal   (Followers: 2)
Optimization Methods and Software     Hybrid Journal   (Followers: 7)
Opuscula Mathematica     Open Access   (Followers: 108)
Order     Hybrid Journal  
ORiON     Open Access  
P-Adic Numbers, Ultrametric Analysis, and Applications     Hybrid Journal  
PAMM : Proceedings in Applied Mathematics and Mechanics     Free   (Followers: 1)
Parallel Processing Letters     Hybrid Journal   (Followers: 3)
Periodica Mathematica Hungarica     Full-text available via subscription   (Followers: 1)
Perspectivas da Educação Matemática     Open Access  
Petroleum Science     Full-text available via subscription   (Followers: 1)
Philosophia Mathematica     Hybrid Journal   (Followers: 1)
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences     Full-text available via subscription   (Followers: 6)
PNA. Revista de Investigación en Didáctica de la Matemática     Open Access  
Polar Science     Hybrid Journal   (Followers: 3)
Positivity     Hybrid Journal  
Prague Bulletin of Mathematical Linguistics, The     Open Access  
Press Start     Open Access  
Prime Number     Full-text available via subscription  
PRIMS     Full-text available via subscription  
Probability in the Engineering and Informational Sciences     Hybrid Journal   (Followers: 1)
Problemy Peredachi Informatsii     Full-text available via subscription  
Proceedings - Mathematical Sciences     Open Access   (Followers: 5)
Proceedings of the American Mathematical Society, Series B     Open Access   (Followers: 1)
Proceedings of the Edinburgh Mathematical Society     Hybrid Journal  
Proceedings of the Institution of Civil Engineers - Engineering and Computational Mechanics     Hybrid Journal   (Followers: 2)
Proceedings of the Latvian Academy of Sciences. Section B: Natural, Exact and Applied Sciences     Open Access  

  First | 1 2 3 4     

Similar Journals
Journal Cover
Journal of the London Mathematical Society
Journal Prestige (SJR): 2.067
Citation Impact (citeScore): 1
Number of Followers: 2  
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 0024-6107 - ISSN (Online) 1469-7750
Published by Oxford University Press Homepage  [406 journals]
  • Bifurcation of solutions to the Allen–Cahn equation
    • Authors: Smith G.
      Pages: 667 - 687
      Abstract: We use Morse homology to study bifurcation of the solution sets of the Allen–Cahn Equation.
      PubDate: Sat, 17 Sep 2016 00:00:00 GMT
      DOI: 10.1112/jlms/jdw053
      Issue No: Vol. 94, No. 3 (2016)
  • From isolated subgroups to generic permutation representations
    • Authors: Glasner YY; Kitroser DD, Melleray JJ.
      Pages: 688 - 708
      Abstract: Let $G$ be a countable group, ${\rm Sub}(G)$ be the (compact, metric) space of all subgroups of $G$ with the Chabauty topology and ${\rm Is}(G) \subseteq {\rm Sub}(G)$ be the collection of isolated points. We denote by $X!$ the (Polish) group of all permutations of a countable set $X$. Then the following properties are equivalent: (i) ${\rm Is}(G)$ is dense in ${\rm Sub}(G)$; (ii) $G$ admits a ‘generic permutation representation’. Namely, there exists some $\tau ^* \in {\rm Hom}(G,X!)$ such that the collection of permutation representations $\{\varphi \in {\rm Hom}(G,X!) \, \, \varphi \ {\hbox {is permutation isomorphic to}}\ \tau ^*\}$ is co-meager in ${\rm Hom}(G,X!)$. We call groups satisfying these properties solitary. Examples of solitary groups include finitely generated locally extended residually finite groups and groups with countably many subgroups.
      PubDate: Wed, 28 Sep 2016 00:00:00 GMT
      DOI: 10.1112/jlms/jdw054
      Issue No: Vol. 94, No. 3 (2016)
  • Local cohomology with support in ideals of symmetric minors and Pfaffians
    • Authors: Raicu C; Weyman J.
      Pages: 709 - 725
      Abstract: We compute the local cohomology modules $\mathcal {H}_Y^{\bullet }(X,\mathcal {O}_X)$ in the case when $X$ is the complex vector space of $n\times n$ symmetric (respectively, skew-symmetric matrices) and $Y$ is the closure of the $\hbox {GL}$-orbit consisting of matrices of any fixed rank, for the natural action of the general linear group $\hbox {GL}$ on $X$. We describe the $\mathcal {D}$-module composition factors of the local cohomology modules, and compute their multiplicities explicitly in terms of generalized binomial coefficients. One consequence of our work is a formula for the cohomological dimension of ideals of even minors of a generic symmetric matrix: in the case of odd minors, this was obtained by Barile in the 1990s. Another consequence of our work is that we obtain a description of the decomposition into irreducible $\hbox {GL}$-representations of the local cohomology modules (the analogous problem in the case when $X$ is the vector space of $m\times n$ matrices was treated in earlier work of the authors).
      PubDate: Sat, 17 Sep 2016 00:00:00 GMT
      DOI: 10.1112/jlms/jdw056
      Issue No: Vol. 94, No. 3 (2016)
  • Orthogonal polynomials, reproducing kernels, and zeros of optimal
    • Authors: Bénéteau C; Khavinson D, Sola AA, et al.
      Pages: 726 - 746
      Abstract: We study connections between orthogonal polynomials, reproducing kernel functions, and polynomials $p$ minimizing Dirichlet-type norms $\ pf-1\ _{\alpha }$ for a given function $f$. For $\alpha \in [0,1]$ (which includes the Hardy and Dirichlet spaces of the disk) and general $f$, we show that such extremal polynomials are non-vanishing in the closed unit disk. For negative $\alpha $, the weighted Bergman space case, the extremal polynomials are non-vanishing on a disk of strictly smaller radius, and zeros can move inside the unit disk. We also explain how $\mathrm {dist}_{D_{\alpha }}(1,f\cdot \mathcal {P}_n)$, where $\mathcal {P}_n$ is the space of polynomials of degree at most $n$, can be expressed in terms of quantities associated with orthogonal polynomials and kernels, and we discuss methods for computing the quantities in question.
      PubDate: Tue, 20 Sep 2016 00:00:00 GMT
      DOI: 10.1112/jlms/jdw057
      Issue No: Vol. 94, No. 3 (2016)
  • Representation embeddings, interpretation functors and controlled wild
    • Authors: Gregory L; Prest M.
      Pages: 747 - 766
      Abstract: We establish a number of results which say, roughly, that interpretation functors preserve algebraic complexity.First, we show that representation embeddings between categories of modules of finite-dimensional algebras induce embeddings of lattices of pp formulas, and hence are non-decreasing on Krull–Gabriel dimension and uniserial dimension. A consequence is that the category of modules of any wild finite-dimensional algebra has width $\infty $, and hence, if the algebra is countable, there is a superdecomposable pure-injective representation.It is conjectured that a stronger result is true: that a representation embedding from ${\rm Mod}\hbox {-}S$ to ${\rm Mod}\hbox {-}R$ admits an inverse interpretation functor from its image, and hence that, in this case, ${\rm Mod}\hbox {-}R$ interprets ${\rm Mod}\hbox {-}S$. This would imply, for instance, that every wild category of modules interprets the (undecidable) word problem for (semi)groups. We show that the conjecture holds for finitely controlled representation embeddings.Finally, we prove that if $R,S$ are finite-dimensional algebras over an algebraically closed field and $I:{\rm Mod}\hbox {-}R\rightarrow {\rm Mod}\hbox {-}S$ is an interpretation functor such that the smallest definable subcategory containing the image of $I$ is the whole of ${\rm Mod}\hbox {-}S,$ then if $R$ is tame, so is $S$ and, similarly, if $R$ is domestic, then $S$ also is domestic.
      PubDate: Tue, 27 Sep 2016 00:00:00 GMT
      DOI: 10.1112/jlms/jdw055
      Issue No: Vol. 94, No. 3 (2016)
  • A conditional determination of the average rank of elliptic curves
    • Authors: Fiorilli D.
      Pages: 767 - 792
      Abstract: Under a hypothesis that is stronger than the Riemann Hypothesis for elliptic curve $L$-functions, we show that both average analytic and algebraic ranks of elliptic curves in families of quadratic twists are exactly $\frac {1}{2}$. As a corollary we obtain that, under this last hypothesis, the Birch and Swinnerton-Dyer Conjecture holds for almost all curves, and that asymptotically one-half have algebraic rank 0, and the remaining half 1. We also prove an analogous result in the family of all elliptic curves. The proof uses results of Katz–Sarnak and Young on the 1-level density of zeros of elliptic curve $L$-functions. In essence, we show that, under a hypothesis analogous to Montgomery's Conjecture, a density result with limited support on low-lying zeros of $L$-functions is sufficient to determine the average rank.
      PubDate: Fri, 23 Sep 2016 00:00:00 GMT
      DOI: 10.1112/jlms/jdw058
      Issue No: Vol. 94, No. 3 (2016)
  • Uniqueness from discrete data in an inverse spectral problem for a pencil
           of ordinary differential operators
    • Authors: Brown M; Marletta M, Symons F.
      Pages: 793 - 813
      Abstract: We prove a pair of uniqueness theorems for an inverse problem for an ordinary differential operator pencil of second order. The uniqueness is achieved from a discrete set of data, namely, the values at the points $-n^2\ (n\in \mathbb {N})$ of (a physically appropriate generalization of) the Weyl–Titchmarsh $m$-function $m(\lambda )$ for the problem. As a corollary, we establish a uniqueness result for a physically motivated inverse problem inspired by Berry and Dennis (‘Boundary-condition-varying circle billiards and gratings: the Dirichlet singularity’, J. Phys. A: Math. Theor. 41 (2008) 135203).To achieve these results, we prove a limit-circle analogue to the limit-point $m$-function interpolation result of Rybkin and Tuan (‘A new interpolation formula for the Titchmarsh–Weyl $m$-function’, Proc. Amer. Math. Soc. 137 (2009) 4177–4185); however, our proof, using a Mittag-Leffler series representation of $m(\lambda )$, involves a rather different method from theirs, circumventing the $A$-amplitude representation of Simon (‘A new approach to inverse spectral theory, I. Fundamental formalism’, Ann. Math. $(2)$ 150 (1999) 1029–1057). Uniqueness of the potential then follows by appeal to a Borg–Marčenko argument.
      PubDate: Sat, 17 Sep 2016 00:00:00 GMT
      DOI: 10.1112/jlms/jdw059
      Issue No: Vol. 94, No. 3 (2016)
  • Mean value estimates for Weyl sums in two dimensions
    • Authors: Bourgain J; Demeter C.
      Pages: 814 - 838
      Abstract: We use decoupling theory to estimate the number of solutions for quadratic and cubic Parsell–Vinogradov systems in two dimensions.
      PubDate: Thu, 06 Oct 2016 00:00:00 GMT
      DOI: 10.1112/jlms/jdw063
      Issue No: Vol. 94, No. 3 (2016)
  • Limit algebras and integer-valued cocycles, revisited
    • Authors: Katsoulis EG; Ramsey C.
      Pages: 839 - 858
      Abstract: A triangular limit algebra $ {\mathcal {A}}$ is isometrically isomorphic to the tensor algebra of a $C^{\ast }$-correspondence if and only if its fundamental relation $ {\mathcal {R}}( {\mathcal {A}})$ is a tree admitting a $ {\mathbb {Z}}^+_0$-valued continuous and coherent cocycle. For triangular limit algebras which are isomorphic to tensor algebras, we give a very concrete description for their defining $ {C}^{\ast }$-correspondence, and we show that it forms a complete invariant for isometric isomorphisms between such algebras. A related class of operator algebras is also classified using a variant of the Aho–Hopcroft–Ullman algorithm from computer-aided graph theory.
      PubDate: Wed, 28 Sep 2016 00:00:00 GMT
      DOI: 10.1112/jlms/jdw060
      Issue No: Vol. 94, No. 3 (2016)
  • Multiple positive solutions of parabolic systems with nonlinear, nonlocal
           initial conditions
    • Authors: Infante G; Maciejewski M.
      Pages: 859 - 882
      Abstract: In this paper, we study the existence, localization and multiplicity of positive solutions for parabolic systems with nonlocal initial conditions. In order to do this, we extend an abstract theory that was recently developed by the authors jointly with Radu Precup, related to the existence of fixed points of nonlinear operators satisfying some upper and lower bounds. Our main tool is the Granas fixed-point index theory. We also provide a nonexistence result and some examples to illustrate our theory.
      PubDate: Sat, 17 Sep 2016 00:00:00 GMT
      DOI: 10.1112/jlms/jdw061
      Issue No: Vol. 94, No. 3 (2016)
  • Geometrically and diagrammatically maximal knots
    • Authors: Champanerkar A; Kofman I, Purcell JS.
      Pages: 883 - 908
      Abstract: The ratio of volume to crossing number of a hyperbolic knot is known to be bounded above by the volume of a regular ideal octahedron, and a similar bound is conjectured for the knot determinant per crossing. We investigate a natural question motivated by these bounds: For which knots are these ratios nearly maximal' We show that many families of alternating knots and links simultaneously maximize both ratios.
      PubDate: Fri, 23 Sep 2016 00:00:00 GMT
      DOI: 10.1112/jlms/jdw062
      Issue No: Vol. 94, No. 3 (2016)
  • Triple Massey products vanish over all fields
    • Authors: Mináč J; Tân N.
      Pages: 909 - 932
      Abstract: We show that the absolute Galois group of any field has the vanishing triple Massey product property. Several corollaries for the structure of maximal pro-$p$-quotient of absolute Galois groups are deduced. Furthermore, the vanishing of some higher Massey products is proved.
      PubDate: Fri, 21 Oct 2016 00:00:00 GMT
      DOI: 10.1112/jlms/jdw064
      Issue No: Vol. 94, No. 3 (2016)
  • The augmented marking complex of a surface
    • Authors: Durham M.
      Pages: 933 - 969
      Abstract: We build an augmentation of the Masur–Minsky marking complex by Groves-Manning combinatorial horoballs to obtain a graph we call the augmented marking complex, $\mathcal {AM}(S)$. Adapting work of Masur–Minsky, we show that this augmented marking complex is quasiisometric to Teichmüller space with the Teichmüller metric. A similar construction was independently discovered by Eskin–Masur–Rafi. We also completely integrate the Masur–Minsky hierarchy machinery to $\mathcal {AM}(S)$ to build flexible families of uniform quasigeodesics in Teichmüller space. As an application, we give a new proof of Rafi's distance formula for $\mathcal {T}(S)$ with the Teichmüller metric. We have included an appendix, in which we prove a number of facts about hierarchies that we hope will be of independent interest.
      PubDate: Fri, 21 Oct 2016 00:00:00 GMT
      DOI: 10.1112/jlms/jdw065
      Issue No: Vol. 94, No. 3 (2016)
  • Legendrian contact homology in the product of a punctured Riemann surface
           and the real line
    • Authors: Björklund J.
      Pages: 970 - 992
      Abstract: We give a combinatorial description of the Legendrian differential graded algebra associated to a Legendrian knot in $P\times {\mathbb R}$, where $P$ is a punctured Riemann surface. As an application we show that, for any integer $k$ and any homology class $h\in H_1(P\times {\mathbb R})$, there are $k$ Legendrian knots, all representing $h$, which are pairwise smoothly isotopic through a formal Legendrian isotopy, but which lie in mutually distinct Legendrian isotopy classes.
      PubDate: Tue, 08 Nov 2016 00:00:00 GMT
      DOI: 10.1112/jlms/jdw066
      Issue No: Vol. 94, No. 3 (2016)
  • The maximum product of weights of cross-intersecting families
    • Authors: Borg P.
      Pages: 993 - 1018
      Abstract: A set of sets is called a family. Two families $\mathcal {A}$ and $\mathcal {B}$ are said to be cross-$t$-intersecting if each set in $\mathcal {A}$ intersects each set in $\mathcal {B}$ in at least $t$ elements. An active problem in extremal set theory is to determine the maximum product of sizes of cross-$t$-intersecting subfamilies of a given family. This incorporates the classical Erdös–Ko–Rado (EKR) problem. We prove a cross-$t$-intersection theorem for weighted subsets of a set by means of a new subfamily alteration method, and use the result to provide solutions for three natural families. For $r \in [n] = \{1, 2,\ldots , n\}$, let ${[n] \choose r}$ be the family of $r$-element subsets of $[n]$, and let ${[n] \choose \leq r}$ be the family of subsets of $[n]$ that have at most $r$ elements. Let $\mathcal {F}_{n,r,t}$ be the family of sets in ${[n] \choose \leq r}$ that contain $[t]$. We show that if $g : {[m] \choose \leq r} \rightarrow \mathbb {R}^+$ and $h : {[n] \choose \leq s} \rightarrow \mathbb {R}^+$ are functions that obey certain conditions, $\mathcal {A} \subseteq {[m] \choose \leq r}$, $\mathcal {B} \subseteq {[n] \choose \leq s}$, and $\mathcal {A}$ and $\mathcal {B}$ are cross-$t$-intersecting, then \[ \sum_{A \in \mathcal{A}} g(A) \sum_{B \in \mathcal{B}} h(B) \leq \sum_{C \in \mathcal{F}_{m,r,t}} g(C) \sum_{D \in \mathcal{F}_{n,s,t}} h(D), \] and equality holds if $\mathcal {A} = \mathcal {F}_{m,r,t}$ and $\mathcal {B} = \mathcal {F}_{n,s,t}$. We prove this in a more general setting and characterize the cases of equality. We use the result to show that the maximum product of sizes of two cross-$t$-intersecting families $\mathcal {A} \subseteq {[m] \choose r}$ and $\mathcal {B} \subseteq {[n] \choose s}$ is ${m-t \choose r-t}{n-t \choose s-t}$ for $\min \{m,n\} \geq n_0(r,s,t)$, where $n_0(r,s,t)$ is close to best possible. We obtain analogous results for families of integer sequences and for families of multisets. The results yield generalizations for $k \geq 2$ cross-$t$-intersecting families, and EKR-type results.
      PubDate: Tue, 08 Nov 2016 00:00:00 GMT
      DOI: 10.1112/jlms/jdw067
      Issue No: Vol. 94, No. 3 (2016)
School of Mathematical and Computer Sciences
Heriot-Watt University
Edinburgh, EH14 4AS, UK
Tel: +00 44 (0)131 4513762
Fax: +00 44 (0)131 4513327
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