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  Subjects -> MATHEMATICS (Total: 879 journals)
    - APPLIED MATHEMATICS (71 journals)
    - GEOMETRY AND TOPOLOGY (19 journals)
    - MATHEMATICS (651 journals)
    - MATHEMATICS (GENERAL) (42 journals)
    - NUMERICAL ANALYSIS (19 journals)
    - PROBABILITIES AND MATH STATISTICS (77 journals)

MATHEMATICS (651 journals)                  1 2 3 4 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 3)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 2)
Academic Voices : A Multidisciplinary Journal     Open Access   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 8)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 16)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 4)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Full-text available via subscription   (Followers: 21)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 11)
Acta Mathematica Hungarica     Hybrid Journal   (Followers: 2)
Acta Mathematica Scientia     Full-text available via subscription   (Followers: 5)
Acta Mathematica Sinica, English Series     Hybrid Journal   (Followers: 5)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 7)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 3)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 2)
Advances in Catalysis     Full-text available via subscription   (Followers: 5)
Advances in Complex Systems     Hybrid Journal   (Followers: 7)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 15)
Advances in Decision Sciences     Open Access   (Followers: 4)
Advances in Difference Equations     Open Access   (Followers: 1)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 10)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 1)
Advances in Materials Sciences     Open Access   (Followers: 16)
Advances in Mathematical Physics     Open Access   (Followers: 5)
Advances in Mathematics     Full-text available via subscription   (Followers: 10)
Advances in Numerical Analysis     Open Access   (Followers: 4)
Advances in Operations Research     Open Access   (Followers: 11)
Advances in Porous Media     Full-text available via subscription   (Followers: 4)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 5)
Advances in Pure Mathematics     Open Access   (Followers: 4)
Advances in Science and Research (ASR)     Open Access   (Followers: 6)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 5)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 4)
Afrika Matematika     Hybrid Journal   (Followers: 1)
Air, Soil & Water Research     Open Access   (Followers: 7)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Algebra and Logic     Hybrid Journal   (Followers: 3)
Algebra Colloquium     Hybrid Journal   (Followers: 4)
Algebra Universalis     Hybrid Journal   (Followers: 2)
Algorithmic Operations Research     Full-text available via subscription   (Followers: 5)
Algorithms     Open Access   (Followers: 11)
Algorithms Research     Open Access   (Followers: 1)
American Journal of Biostatistics     Open Access   (Followers: 9)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 4)
American Journal of Mathematical Analysis     Open Access  
American Journal of Mathematics     Full-text available via subscription   (Followers: 7)
American Journal of Operations Research     Open Access   (Followers: 5)
American Mathematical Monthly     Full-text available via subscription   (Followers: 6)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 7)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access   (Followers: 1)
Analysis     Hybrid Journal   (Followers: 2)
Analysis and Applications     Hybrid Journal   (Followers: 1)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 3)
Analysis Mathematica     Full-text available via subscription  
Annales Mathematicae Silesianae     Open Access  
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales UMCS, Mathematica     Open Access   (Followers: 1)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica     Open Access  
Annali di Matematica Pura ed Applicata     Hybrid Journal   (Followers: 1)
Annals of Combinatorics     Hybrid Journal   (Followers: 3)
Annals of Data Science     Hybrid Journal   (Followers: 9)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 6)
Annals of Mathematics     Full-text available via subscription  
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 6)
Annals of Pure and Applied Logic     Open Access   (Followers: 2)
Annals of the Alexandru Ioan Cuza University - Mathematics     Open Access  
Annals of the Institute of Statistical Mathematics     Hybrid Journal   (Followers: 1)
Annals of West University of Timisoara - Mathematics     Open Access  
Annuaire du Collège de France     Open Access   (Followers: 5)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 2)
Applications of Mathematics     Hybrid Journal   (Followers: 1)
Applied Categorical Structures     Hybrid Journal   (Followers: 2)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 12)
Applied Mathematics     Open Access   (Followers: 3)
Applied Mathematics     Open Access   (Followers: 4)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 4)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal  
Applied Mathematics Letters     Full-text available via subscription   (Followers: 1)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Network Science     Open Access  
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 4)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 2)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 1)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 4)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 4)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites : The Journal of Space Research Centre of Polish Academy of Sciences     Open Access   (Followers: 19)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Journal of Current Engineering & Maths     Open Access  
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 2)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 2)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 1)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access  
Baltic International Yearbook of Cognition, Logic and Communication     Open Access  
Basin Research     Hybrid Journal   (Followers: 5)
BIBECHANA     Open Access  
BIT Numerical Mathematics     Hybrid Journal  
BoEM - Boletim online de Educação Matemática     Open Access  
Boletim Cearense de Educação e História da Matemática     Open Access  
Boletim de Educação Matemática     Open Access  
Boletín de la Sociedad Matemática Mexicana     Hybrid Journal  
Bollettino dell'Unione Matematica Italiana     Full-text available via subscription   (Followers: 1)
British Journal of Mathematical and Statistical Psychology     Full-text available via subscription   (Followers: 21)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 7)
Bulletin des Sciences Mathamatiques     Full-text available via subscription   (Followers: 4)
Bulletin of Dnipropetrovsk University. Series : Communications in Mathematical Modeling and Differential Equations Theory     Open Access   (Followers: 1)
Bulletin of Mathematical Sciences     Open Access   (Followers: 1)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 3)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Calculus of Variations and Partial Differential Equations     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 18)
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal  
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
ChemSusChem     Hybrid Journal   (Followers: 7)
Chinese Annals of Mathematics, Series B     Hybrid Journal  
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 2)
Chinese Journal of Mathematics     Open Access  
Clean Air Journal     Full-text available via subscription   (Followers: 2)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 4)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Full-text available via subscription   (Followers: 2)
COMBINATORICA     Hybrid Journal  
Combustion Theory and Modelling     Hybrid Journal   (Followers: 13)
Commentarii Mathematici Helvetici     Hybrid Journal   (Followers: 1)
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 1)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 3)
Complex Analysis and its Synergies     Open Access   (Followers: 2)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Complexus     Full-text available via subscription  
Composite Materials Series     Full-text available via subscription   (Followers: 9)
Comptes Rendus Mathematique     Full-text available via subscription   (Followers: 1)
Computational and Applied Mathematics     Hybrid Journal   (Followers: 2)
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 2)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 2)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 8)
Computational Mechanics     Hybrid Journal   (Followers: 4)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 7)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 5)
Concrete Operators     Open Access   (Followers: 4)
Confluentes Mathematici     Hybrid Journal  
COSMOS     Hybrid Journal  
Cryptography and Communications     Hybrid Journal   (Followers: 14)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Demographic Research     Open Access   (Followers: 11)
Demonstratio Mathematica     Open Access  
Dependence Modeling     Open Access  
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 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: 2)
Discrete Mathematics     Hybrid Journal   (Followers: 7)
Discrete Mathematics & Theoretical Computer Science     Open Access  
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Dnipropetrovsk University Mathematics Bulletin     Open Access  
Doklady Mathematics     Hybrid Journal  
Duke Mathematical Journal     Full-text available via subscription   (Followers: 1)
Edited Series on Advances in Nonlinear Science and Complexity     Full-text available via subscription  
Electronic Journal of Graph Theory and Applications     Open Access   (Followers: 2)
Electronic Notes in Discrete Mathematics     Full-text available via subscription   (Followers: 2)
Elemente der Mathematik     Full-text available via subscription   (Followers: 3)
Energy for Sustainable Development     Hybrid Journal   (Followers: 9)
Enseñanza de las Ciencias : Revista de Investigación y Experiencias Didácticas     Open Access  
Ensino da Matemática em Debate     Open Access  
Entropy     Open Access   (Followers: 5)
ESAIM: Control Optimisation and Calculus of Variations     Full-text available via subscription   (Followers: 1)
European Journal of Combinatorics     Full-text available via subscription   (Followers: 4)
European Journal of Mathematics     Hybrid Journal   (Followers: 1)
European Scientific Journal     Open Access   (Followers: 2)
Experimental Mathematics     Hybrid Journal   (Followers: 4)
Expositiones Mathematicae     Hybrid Journal   (Followers: 2)
Facta Universitatis, Series : Mathematics and Informatics     Open Access  
Fasciculi Mathematici     Open Access  
Finite Fields and Their Applications     Full-text available via subscription   (Followers: 4)
Fixed Point Theory and Applications     Open Access   (Followers: 1)
Formalized Mathematics     Open Access   (Followers: 2)

        1 2 3 4 | Last

Journal Cover Communications in Mathematical Physics
  [SJR: 1.76]   [H-I: 101]   [1 followers]  Follow
    
   Hybrid Journal Hybrid journal (It can contain Open Access articles)
   ISSN (Print) 1432-0916 - ISSN (Online) 0010-3616
   Published by Springer-Verlag Homepage  [2353 journals]
  • Critical Exponents on Fortuin–Kasteleyn Weighted Planar Maps
    • Authors: Nathanaël Berestycki; Benoît Laslier; Gourab Ray
      Pages: 427 - 462
      Abstract: Abstract In this paper we consider random planar maps weighted by the self-dual Fortuin–Kasteleyn model with parameter \({q \in (0,4)}\) . Using a bijection due to Sheffield and a connection to planar Brownian motion in a cone we obtain rigorously the value of the annealed critical exponent associated with the length of cluster interfaces, which is shown to be $$\frac{4}{\pi} \arccos \left( \frac{\sqrt{2 - \sqrt{q}}}{2} \right)=\frac{\kappa'}{8},$$ where \({\kappa' }\) is the SLE parameter associated with this model. We also derive the exponent corresponding to the area enclosed by a loop, which is shown to be 1 for all values of \({q \in (0,4)}\) . Applying the KPZ formula we find that this value is consistent with the dimension of SLE curves and SLE duality.
      PubDate: 2017-10-01
      DOI: 10.1007/s00220-017-2933-7
      Issue No: Vol. 355, No. 2 (2017)
       
  • Construction of the Unitary Free Fermion Segal CFT
    • Authors: James E. Tener
      Pages: 463 - 518
      Abstract: Abstract In this article, we provide a detailed construction and analysis of the mathematical conformal field theory of the free fermion, defined in the sense of Graeme Segal. We verify directly that the operators assigned to disks with two disks removed correspond to vertex operators, and use this to deduce analytic properties of the vertex operators. One of the main tools used in the construction is the Cauchy transform for Riemann surfaces, for which we establish several properties analogous to those of the classical Cauchy transform in the complex plane.
      PubDate: 2017-10-01
      DOI: 10.1007/s00220-017-2959-x
      Issue No: Vol. 355, No. 2 (2017)
       
  • Fault-Tolerant Quantum Error Correction for non-Abelian Anyons
    • Authors: Guillaume Dauphinais; David Poulin
      Pages: 519 - 560
      Abstract: Abstract While topological quantum computation is intrinsically fault-tolerant at zero temperature, it loses its topological protection at any finite temperature. We present a scheme to protect the information stored in a system supporting non-cyclic anyons against thermal and measurement errors. The correction procedure builds on the work of Gács (J Comput Syst Sci 32:15–78, 1986. doi:10.1145/800061.808730) and Harrington (Analysis of quantum error-correcting codes: symplectic lattice codes and toric code, 2004) and operates as a local cellular automaton. In contrast to previously studied schemes, our scheme is valid for both abelian and non-abelian anyons and accounts for measurement errors. We analytically prove the existence of a fault-tolerant threshold for a certain class of non-Abelian anyon models, and numerically simulate the procedure for the specific example of Ising anyons. The result of our simulations are consistent with a threshold between \({10^{-4}}\) and \({10^{-3}}\) .
      PubDate: 2017-10-01
      DOI: 10.1007/s00220-017-2923-9
      Issue No: Vol. 355, No. 2 (2017)
       
  • Differential Topology of Semimetals
    • Authors: Varghese Mathai; Guo Chuan Thiang
      Pages: 561 - 602
      Abstract: Abstract The subtle interplay between local and global charges for topological semimetals exactly parallels that for singular vector fields. Part of this story is the relationship between cohomological semimetal invariants, Euler structures, and ambiguities in the connections between Weyl points. Dually, a topological semimetal can be represented by Euler chains from which its surface Fermi arc connectivity can be deduced. These dual pictures, and the link to topological invariants of insulators, are organised using geometric exact sequences. We go beyond Dirac-type Hamiltonians and introduce new classes of semimetals whose local charges are subtle Atiyah–Dupont–Thomas invariants globally constrained by the Kervaire semicharacteristic, leading to the prediction of torsion Fermi arcs.
      PubDate: 2017-10-01
      DOI: 10.1007/s00220-017-2965-z
      Issue No: Vol. 355, No. 2 (2017)
       
  • A Bosonization of $${U_q(\widehat{sl}(M N))}$$ U q ( s l ^ ( M N ) )
    • Authors: Takeo Kojima
      Pages: 603 - 644
      Abstract: Abstract A bosonization of the quantum affine superalgebra \({U_q(\widehat{sl}(M N))}\) is presented for an arbitrary level \({k \in {\bf C}}\) . Screening operators that commute with \({U_q(\widehat{sl}(M N))}\) are presented for the level \({k \neq -M+N}\) .
      PubDate: 2017-10-01
      DOI: 10.1007/s00220-017-2957-z
      Issue No: Vol. 355, No. 2 (2017)
       
  • Hamiltonian and Algebraic Theories of Gapped Boundaries in Topological
           Phases of Matter
    • Authors: Iris Cong; Meng Cheng; Zhenghan Wang
      Pages: 645 - 689
      Abstract: Abstract We present an exactly solvable lattice Hamiltonian to realize gapped boundaries of Kitaev’s quantum double models for Dijkgraaf-Witten theories. We classify the elementary excitations on the boundary, and systematically describe the bulk-to-boundary condensation procedure. We also present the parallel algebraic/categorical structure of gapped boundaries.
      PubDate: 2017-10-01
      DOI: 10.1007/s00220-017-2960-4
      Issue No: Vol. 355, No. 2 (2017)
       
  • Gravitational Instantons of Type D k and a Generalization of the
           Gibbons–Hawking Ansatz
    • Authors: Radu A. Ionaş
      Pages: 691 - 740
      Abstract: Abstract We describe a quaternionic-based Ansatz generalizing the Gibbons–Hawking Ansatz to a class of hyperkähler metrics with hidden symmetries. We then apply it to obtain explicit expressions for gravitational instanton metrics of type D k .
      PubDate: 2017-10-01
      DOI: 10.1007/s00220-017-2852-7
      Issue No: Vol. 355, No. 2 (2017)
       
  • An Elliptic Garnier System
    • Authors: Chris M. Ormerod; Eric M. Rains
      Pages: 741 - 766
      Abstract: Abstract We present a linear system of difference equations whose entries are expressed in terms of theta functions. This linear system is singular at \({4m+12}\) points for \({m \geq 1}\) , which appear in pairs due to a symmetry condition. We parameterize this linear system in terms of a set of kernels at the singular points. We regard the system of discrete isomonodromic deformations as an elliptic analogue of the Garnier system. We identify the special case in which m = 1 with the elliptic Painlevé equation; hence, this work provides an explicit form and Lax pair for the elliptic Painlevé equation.
      PubDate: 2017-10-01
      DOI: 10.1007/s00220-017-2934-6
      Issue No: Vol. 355, No. 2 (2017)
       
  • Planck-Scale Mass Equidistribution of Toral Laplace Eigenfunctions
    • Authors: Andrew Granville; Igor Wigman
      Pages: 767 - 802
      Abstract: Abstract We study the small scale distribution of the L 2-mass of eigenfunctions of the Laplacian on the two-dimensional flat torus. Given an orthonormal basis of eigenfunctions, Lester and Rudnick (Commun. Math. Phys. 350(1):279–300, 2017) showed the existence of a density one subsequence whose L 2-mass equidistributes more-or-less down to the Planck scale. We give a more precise version of their result showing equidistribution holds down to a small power of log above Planck scale, and also showing that the L 2-mass fails to equidistribute at a slightly smaller power of log above the Planck scale. This article rests on a number of results about the proximity of lattice points on circles, much of it based on foundational work of Javier Cilleruelo.
      PubDate: 2017-10-01
      DOI: 10.1007/s00220-017-2953-3
      Issue No: Vol. 355, No. 2 (2017)
       
  • Hyperbolicity of Minimizers and Regularity of Viscosity Solutions for a
           Random Hamilton–Jacobi Equation
    • Authors: Konstantin Khanin; Ke Zhang
      Pages: 803 - 837
      Abstract: Abstract We show that for a large class of randomly kicked Hamilton–Jacobi equations, the unique global minimizer is almost surely hyperbolic. Furthermore, we prove that the unique forward and backward viscosity solutions, though in general only Lipshitz, are smooth in a neighborhood of the global minimizer. Related results in the one-dimensional case were obtained by E, Khanin et al. (Ann Math (2) 151(3):877–960, 2000). However, the methods in the above paper are purely one-dimensional and cannot be extended to the case of higher dimensions. Here we develop a completely different approach.
      PubDate: 2017-10-01
      DOI: 10.1007/s00220-017-2919-5
      Issue No: Vol. 355, No. 2 (2017)
       
  • Equivariant Verlinde Formula from Fivebranes and Vortices
    • Authors: Sergei Gukov; Du Pei
      Pages: 1 - 50
      Abstract: Abstract We study complex Chern–Simons theory on a Seifert manifold M 3 by embedding it into string theory. We show that complex Chern–Simons theory on M 3 is equivalent to a topologically twisted supersymmetric theory and its partition function can be naturally regularized by turning on a mass parameter. We find that the dimensional reduction of this theory to 2d gives the low energy dynamics of vortices in four-dimensional gauge theory, the fact apparently overlooked in the vortex literature. We also generalize the relations between (1) the Verlinde algebra, (2) quantum cohomology of the Grassmannian, (3) Chern–Simons theory on \({\Sigma\times S^1}\) and (4) index of a spin c Dirac operator on the moduli space of flat connections to a new set of relations between (1) the “equivariant Verlinde algebra” for a complex group, (2) the equivariant quantum K-theory of the vortex moduli space, (3) complex Chern–Simons theory on \({\Sigma \times S^1}\) and (4) the equivariant index of a spin c Dirac operator on the moduli space of Higgs bundles.
      PubDate: 2017-10-01
      DOI: 10.1007/s00220-017-2931-9
      Issue No: Vol. 355, No. 1 (2017)
       
  • Circular Pentagons and Real Solutions of Painlevé VI Equations
    • Authors: Alexandre Eremenko; Andrei Gabrielov
      Pages: 51 - 95
      Abstract: Abstract We study real solutions of a class of Painlevé VI equations. To each such solution we associate a geometric object, a one-parametric family of circular pentagons. We describe an algorithm that permits to compute the numbers of zeros, poles, 1-points and fixed points of the solution on the interval \({(1,+\infty)}\) and their mutual position. The monodromy of the associated linear equation and parameters of the Painlevé VI equation are easily recovered from the family of pentagons.
      PubDate: 2017-10-01
      DOI: 10.1007/s00220-017-2921-y
      Issue No: Vol. 355, No. 1 (2017)
       
  • BV Quantization of the Rozansky–Witten Model
    • Authors: Kwokwai Chan; Naichung Conan Leung; Qin Li
      Pages: 97 - 144
      Abstract: Abstract We investigate the perturbative aspects of Rozansky–Witten’s 3d \({\sigma}\) -model (Rozansky and Witten in Sel Math 3(3):401–458, 1997) using Costello’s approach to the Batalin–Vilkovisky (BV) formalism (Costello in Renormalization and effective field theory, American Mathematical Society, Providence, 2011). We show that the BV quantization (in Costello’s sense) of the model, which produces a perturbative quantum field theory, can be obtained via the configuration space method of regularization due to Kontsevich (First European congress of mathematics, Paris, 1992) and Axelrod–Singer (J Differ Geom 39(1):173–213, 1994). We also study the factorization algebra structure of quantum observables following Costello–Gwilliam (Factorization algebras in quantum field theory, Cambridge University Press, Cambridge 2017). In particular, we show that the cohomology of local quantum observables on a genus g handle body is given by \({H^*(X, (\wedge^*T_X)^{\otimes g})}\) (where X is the target manifold), and we prove that the partition function reproduces the Rozansky–Witten invariants.
      PubDate: 2017-10-01
      DOI: 10.1007/s00220-017-2924-8
      Issue No: Vol. 355, No. 1 (2017)
       
  • On 2d Incompressible Euler Equations with Partial Damping
    • Authors: Tarek Elgindi; Wenqing Hu; Vladimír Šverák
      Pages: 145 - 159
      Abstract: Abstract We consider various questions about the 2d incompressible Navier–Stokes and Euler equations on a torus when dissipation is removed from or added to some of the Fourier modes.
      PubDate: 2017-10-01
      DOI: 10.1007/s00220-017-2877-y
      Issue No: Vol. 355, No. 1 (2017)
       
  • On the Motion of a Self-Gravitating Incompressible Fluid with Free
           Boundary
    • Authors: Lydia Bieri; Shuang Miao; Sohrab Shahshahani; Sijue Wu
      Pages: 161 - 243
      Abstract: Abstract We consider the motion of the interface separating a vacuum from an inviscid, incompressible, and irrotational fluid, subject to the self-gravitational force and neglecting surface tension, in two space dimensions. The fluid motion is described by the Euler–Poisson system in moving bounded simply-connected domains. A family of equilibrium solutions of the system are the perfect balls moving at constant velocity. We show that for smooth data that are small perturbations of size \({\epsilon}\) of these static states, measured in appropriate Sobolev spaces, the solution exists and the perturbation remains of size \({\epsilon}\) on a time interval of length at least \({c\epsilon^{-2},}\) where c is a constant independent of \({\epsilon.}\) This should be compared with the lifespan \({O(\epsilon^{-1})}\) provided by local well-posedness. The key ingredient of our proof is finding a two-step nonlinear transformation which removes quadratic terms from the nonlinearity. Compared with the gravity water wave problem, besides the different geometry of the bounded moving domain, an important difference is that the gravity in water waves is a constant vector, while the self-gravity in the Euler–Poisson system depends nonlinearly on the interface.
      PubDate: 2017-10-01
      DOI: 10.1007/s00220-017-2884-z
      Issue No: Vol. 355, No. 1 (2017)
       
  • The Hodge-Elliptic Genus, Spinning BPS States, and Black Holes
    • Authors: Shamit Kachru; Arnav Tripathy
      Pages: 245 - 259
      Abstract: Abstract We perform a refined count of BPS states in the compactification of M-theory on \({K3 \times T^2}\) , keeping track of the information provided by both the \({SU(2)_L}\) and \({SU(2)_R}\) angular momenta in the SO(4) little group. Mathematically, this four variable counting function may be expressed via the motivic Donaldson–Thomas counts of \({K3 \times T^2}\) , simultaneously refining Katz, Klemm, and Pandharipande’s motivic stable pairs counts on K3 and Oberdieck–Pandharipande’s Gromov–Witten counts on \({K3 \times T^2}\) . This provides the first full answer for motivic curve counts of a compact Calabi–Yau threefold. Along the way, we develop a Hodge-elliptic genus for Calabi–Yau manifolds—a new counting function for BPS states that interpolates between the Hodge polynomial and the elliptic genus of a Calabi–Yau.
      PubDate: 2017-10-01
      DOI: 10.1007/s00220-017-2910-1
      Issue No: Vol. 355, No. 1 (2017)
       
  • On the Geometry of the Level Sets of Bounded Static Potentials
    • Authors: Virginia Agostiniani; Lorenzo Mazzieri
      Pages: 261 - 301
      Abstract: Abstract In this paper we present a new approach to the study of asymptotically flat static metrics arising in general relativity. In the case where the static potential is bounded, we introduce new quantities which are proven to be monotone along the level set flow of the potential function. We then show how to use these properties to detect the rotational symmetry of the static solutions, deriving a number of sharp inequalities. Among these, we prove the validity—without any dimensional restriction—of the Riemannian Penrose Inequality, as well as of a reversed version of it, in the class of asymptotically flat static metrics with connected horizon. As a consequence of our analysis, a simple proof of the classical 3-dimensional Black Hole Uniqueness Theorem is recovered and some geometric conditions are discussed under which the same statement holds in higher dimensions.
      PubDate: 2017-10-01
      DOI: 10.1007/s00220-017-2922-x
      Issue No: Vol. 355, No. 1 (2017)
       
  • Discontinuity in the Asymptotic Behavior of Planar Orthogonal Polynomials
           Under a Perturbation of the Gaussian Weight
    • Authors: Seung-Yeop Lee; Meng Yang
      Pages: 303 - 338
      Abstract: Abstract We consider the orthogonal polynomials, \({\{P_n(z)\}_{n=0,1,\ldots}}\) , with respect to the measure $$ z-a ^{2c} e^{-N z ^2}dA(z)$$ supported over the whole complex plane, where \({a > 0}\) , \({N > 0}\) and \({c > -1}\) . We look at the scaling limit where n and N tend to infinity while keeping their ratio, n/N, fixed. The support of the limiting zero distribution is given in terms of certain “limiting potential-theoretic skeleton” of the unit disk. We show that, as we vary c, both the skeleton and the asymptotic distribution of the zeros behave discontinuously at c = 0. The smooth interpolation of the discontinuity is obtained by the further scaling of \({c=e^{-\eta N}}\) in terms of the parameter \({\eta\in[0,\infty).}\)
      PubDate: 2017-10-01
      DOI: 10.1007/s00220-017-2888-8
      Issue No: Vol. 355, No. 1 (2017)
       
  • Orbifolds and Cosets of Minimal $${\mathcal{W}}$$ W -Algebras
    • Authors: Tomoyuki Arakawa; Thomas Creutzig; Kazuya Kawasetsu; Andrew R. Linshaw
      Pages: 339 - 372
      Abstract: Abstract Let \({\mathfrak{g}}\) be a simple, finite-dimensional Lie (super)algebra equipped with an embedding of \({\mathfrak{s}\mathfrak{l}_2}\) inducing the minimal gradation on \({\mathfrak{g}}\) . The corresponding minimal \({\mathcal{W}}\) -algebra \({\mathcal{W}^k(\mathfrak{g}, e_{-\theta})}\) introduced by Kac and Wakimoto has strong generators in weights \({1,2,3/2}\) , and all operator product expansions are known explicitly. The weight one subspace generates an affine vertex (super)algebra \({V^{k'}(\mathfrak{g}^{\natural})}\) , where \({\mathfrak{g}^{\natural} \subset \mathfrak{g}}\) denotes the centralizer of \({\mathfrak{s}\mathfrak{l}_2}\) . Therefore, \({\mathcal{W}^k(\mathfrak{g}, e_{-\theta})}\) has an action of a connected Lie group \({G^{\natural}_0}\) with Lie algebra \({\mathfrak{g}^{\natural}_0}\) , where \({\mathfrak{g}^{\natural}_0}\) denotes the even part of \({\mathfrak{g}^{\natural}}\) . We show that for any reductive subgroup \({G \subset G^{\natural}_0}\) , and for any reductive Lie algebra \({\mathfrak{g}' \subset \mathfrak{g}^{\natural}}\) , the orbifold \({\mathcal{O}^k = \mathcal{W}^k(\mathfrak{g}, e_{-\theta})^{G}}\) and the coset \({\mathcal{C}^k = {\rm Com}(V(\mathfrak{g}'),\mathcal{W}^k(\mathfrak{g}, e_{-\theta}))}\) are strongly finitely generated for generic values of \({k}\) . Here \({V(\mathfrak{g}')}\) denotes the affine vertex algebra associated to \({\mathfrak{g}'}\) . We find explicit minimal strong generating sets for \({\mathcal{C}^k}\) when \({\mathfrak{g}' = \mathfrak{g}^{\natural}}\) and \({\mathfrak{g}}\) is either \({\mathfrak{s}\mathfrak{l}_n}\) , \({\mathfrak{s}\mathfrak{p}_{2n}}\) , \({\mathfrak{s}\mathfrak{l}(2 n)}\) for \({n \neq 2}\) , \({...
      PubDate: 2017-10-01
      DOI: 10.1007/s00220-017-2901-2
      Issue No: Vol. 355, No. 1 (2017)
       
  • Strong Converse Exponent for Classical-Quantum Channel Coding
    • Authors: Milán Mosonyi; Tomohiro Ogawa
      Pages: 373 - 426
      Abstract: Abstract We determine the exact strong converse exponent of classical-quantum channel coding, for every rate above the Holevo capacity. Our form of the exponent is an exact analogue of Arimoto’s, given as a transform of the Rényi capacities with parameters \({\alpha > 1}\) . It is important to note that, unlike in the classical case, there are many inequivalent ways to define the Rényi divergence of states, and hence the Rényi capacities of channels. Our exponent is in terms of the Rényi capacities corresponding to a version of the Rényi divergences that has been introduced recently in Müller-Lennert et al. (J Math Phys 54(12):122203, 2013. arXiv:1306.3142), and Wilde et al. (Commun Math Phys 331(2):593–622, 2014. arXiv:1306.1586). Our result adds to the growing body of evidence that this new version is the natural definition for the purposes of strong converse problems.
      PubDate: 2017-10-01
      DOI: 10.1007/s00220-017-2928-4
      Issue No: Vol. 355, No. 1 (2017)
       
 
 
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