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  Subjects -> MATHEMATICS (Total: 874 journals)
    - APPLIED MATHEMATICS (71 journals)
    - GEOMETRY AND TOPOLOGY (19 journals)
    - MATHEMATICS (647 journals)
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    - PROBABILITIES AND MATH STATISTICS (77 journals)

MATHEMATICS (647 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: 7)
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: 5)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 3)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 2)
Advances in Catalysis     Full-text available via subscription   (Followers: 5)
Advances in Complex Systems     Hybrid Journal   (Followers: 7)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 15)
Advances in Decision Sciences     Open Access   (Followers: 4)
Advances in Difference Equations     Open Access   (Followers: 1)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 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: 6)
Advances in Mathematics     Full-text available via subscription   (Followers: 10)
Advances in Numerical Analysis     Open Access   (Followers: 4)
Advances in Operations Research     Open Access   (Followers: 11)
Advances in Porous Media     Full-text available via subscription   (Followers: 4)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 5)
Advances in Pure Mathematics     Open Access   (Followers: 4)
Advances in Science and Research (ASR)     Open Access   (Followers: 6)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 5)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 4)
Afrika Matematika     Hybrid Journal   (Followers: 1)
Air, Soil & Water Research     Open Access   (Followers: 7)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Algebra and Logic     Hybrid Journal   (Followers: 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: 9)
Algorithms Research     Open Access   (Followers: 1)
American Journal of Biostatistics     Open Access   (Followers: 9)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 3)
American Journal of Mathematical Analysis     Open Access  
American Journal of Mathematics     Full-text available via subscription   (Followers: 7)
American Journal of Operations Research     Open Access   (Followers: 5)
American Mathematical Monthly     Full-text available via subscription   (Followers: 6)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 7)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access   (Followers: 1)
Analysis     Hybrid Journal   (Followers: 2)
Analysis and Applications     Hybrid Journal   (Followers: 1)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 4)
Analysis Mathematica     Full-text available via subscription  
Annales Mathematicae Silesianae     Open Access  
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales UMCS, Mathematica     Open Access   (Followers: 1)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica     Open Access  
Annali di Matematica Pura ed Applicata     Hybrid Journal   (Followers: 1)
Annals of Combinatorics     Hybrid Journal   (Followers: 3)
Annals of Data Science     Hybrid Journal   (Followers: 8)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 6)
Annals of Mathematics     Full-text available via subscription  
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 6)
Annals of Pure and Applied Logic     Open Access   (Followers: 2)
Annals of the Alexandru Ioan Cuza University - Mathematics     Open Access  
Annals of the Institute of Statistical Mathematics     Hybrid Journal   (Followers: 1)
Annals of West University of Timisoara - Mathematics     Open Access  
Annuaire du Collège de France     Open Access   (Followers: 5)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 2)
Applications of Mathematics     Hybrid Journal   (Followers: 1)
Applied Categorical Structures     Hybrid Journal   (Followers: 2)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 12)
Applied Mathematics     Open Access   (Followers: 3)
Applied Mathematics     Open Access   (Followers: 4)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 4)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal  
Applied Mathematics Letters     Full-text available via subscription   (Followers: 1)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Network Science     Open Access  
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 4)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 2)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 1)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 4)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 4)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites : The Journal of Space Research Centre of Polish Academy of Sciences     Open Access   (Followers: 18)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Journal of Current Engineering & Maths     Open Access  
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 2)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 2)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 1)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access  
Baltic International Yearbook of Cognition, Logic and Communication     Open Access  
Basin Research     Hybrid Journal   (Followers: 3)
BIBECHANA     Open Access  
BIT Numerical Mathematics     Hybrid Journal  
BoEM - Boletim online de Educação Matemática     Open Access  
Boletim Cearense de Educação e História da Matemática     Open Access  
Boletim de Educação Matemática     Open Access  
Boletín de la Sociedad Matemática Mexicana     Hybrid Journal  
Bollettino dell'Unione Matematica Italiana     Full-text available via subscription   (Followers: 1)
British Journal of Mathematical and Statistical Psychology     Full-text available via subscription   (Followers: 21)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 7)
Bulletin des Sciences Mathamatiques     Full-text available via subscription   (Followers: 4)
Bulletin of Dnipropetrovsk University. Series : Communications in Mathematical Modeling and Differential Equations Theory     Open Access   (Followers: 1)
Bulletin of Mathematical Sciences     Open Access   (Followers: 1)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 3)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Calculus of Variations and Partial Differential Equations     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 17)
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal  
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
ChemSusChem     Hybrid Journal   (Followers: 7)
Chinese Annals of Mathematics, Series B     Hybrid Journal  
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 2)
Chinese Journal of Mathematics     Open Access  
Clean Air Journal     Full-text available via subscription   (Followers: 2)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 4)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Full-text available via subscription   (Followers: 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: 12)
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)
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: 3)
Expositiones Mathematicae     Hybrid Journal   (Followers: 2)
Facta Universitatis, Series : Mathematics and Informatics     Open Access  
Fasciculi Mathematici     Open Access  
Finite Fields and Their Applications     Full-text available via subscription   (Followers: 4)
Fixed Point Theory and Applications     Open Access   (Followers: 1)
Formalized Mathematics     Open Access   (Followers: 2)
Foundations and Trends® in Econometrics     Full-text available via subscription   (Followers: 4)

        1 2 3 4 | Last

Journal Cover 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  [2345 journals]
  • A Continuous Family of Equilibria in Ferromagnetic Media are Ground States
    • Authors: Xifeng Su; Rafael de la Llave
      Pages: 459 - 475
      Abstract: We show that a foliation of equilibria (a continuous family of equilibria whose graph covers all the configuration space) in ferromagnetic transitive models are ground states. The result we prove is very general, and it applies to models with long range and many-body interactions. As an application, we consider several models of networks of interacting particles including models of Frenkel–Kontorova type on \({\mathbb{Z}^d}\) and one-dimensional quasi-periodic media. The result above is an analogue of several results in the calculus of variations (fields of extremals) and in PDE’s. Since the models we consider are discrete and long range, new proofs need to be given. We also note that the main hypothesis of our result (the existence of foliations of equilibria) is the conclusion (using KAM theory) of several recent papers. Hence, we obtain that the KAM solutions recently established are minimizers when the interaction is ferromagnetic and transitive (these concepts are defined later).
      PubDate: 2017-09-01
      DOI: 10.1007/s00220-017-2913-y
      Issue No: Vol. 354, No. 2 (2017)
       
  • Patterns in Calabi–Yau Distributions
    • Authors: Yang-Hui He; Vishnu Jejjala; Luca Pontiggia
      Pages: 477 - 524
      Abstract: We explore the distribution of topological numbers in Calabi–Yau manifolds, using the Kreuzer–Skarke dataset of hypersurfaces in toric varieties as a testing ground. While the Hodge numbers are well-known to exhibit mirror symmetry, patterns in frequencies of combination thereof exhibit striking new patterns. We find pseudo-Voigt and Planckian distributions with high confidence and exact fit for many substructures. The patterns indicate typicality within the landscape of Calabi–Yau manifolds of various dimension.
      PubDate: 2017-09-01
      DOI: 10.1007/s00220-017-2907-9
      Issue No: Vol. 354, No. 2 (2017)
       
  • Maximal amplitudes of finite-gap solutions for the focusing Nonlinear
           Schrödinger Equation
    • Authors: M. Bertola; A. Tovbis
      Pages: 525 - 547
      Abstract: Finite-gap (algebro-geometric) solutions to the focusing Nonlinear Schrödinger Equation (fNLS) 0-1 $$i \psi_t + \psi_{xx} + 2 \psi ^2\psi=0,$$ are quasi-periodic solutions that represent nonlinear multi-phase waves. In general, a finite-gap solution for (0-1) is defined by a collection of Schwarz symmetrical spectral bands and of real constants (initial phases), associated with the corresponding bands. In this paper we prove an interesting new formula for the maximal amplitude of a finite-gap solution to the focusing Nonlinear Schrödinger equation with given spectral bands: the amplitude does not exceed the sum of the imaginary parts of all the endpoints in the upper half plane. In the case of the straight vertical bands, that amounts to the half of the sum of the length of all the bands. The maximal amplitude will be attained for certain choices of the initial phases. This result is an important part of a criterion for the potential presence of the rogue waves in finite-gap solutions with a given set of spectral endpoints, obtained in Bertola et al. (Proc R Soc A, 2016. doi:10.1098/rspa.2016.0340). A similar result was also obtained for the defocusing Nonlinear Schrödinger equation.
      PubDate: 2017-09-01
      DOI: 10.1007/s00220-017-2895-9
      Issue No: Vol. 354, No. 2 (2017)
       
  • The Kardar–Parisi–Zhang Equation as Scaling Limit of Weakly Asymmetric
           Interacting Brownian Motions
    • Authors: Joscha Diehl; Massimiliano Gubinelli; Nicolas Perkowski
      Pages: 549 - 589
      Abstract: We consider a system of infinitely many interacting Brownian motions that models the height of a one-dimensional interface between two bulk phases. We prove that the large scale fluctuations of the system are well approximated by the solution to the KPZ equation provided the microscopic interaction is weakly asymmetric. The proof is based on the martingale solutions of Gonçalves and Jara (Arch Ration Mech Anal 212(2):597–644, 2014) and the corresponding uniqueness result of Gubinelli and Perkowski (Energy solutions of KPZ are unique, 2015).
      PubDate: 2017-09-01
      DOI: 10.1007/s00220-017-2918-6
      Issue No: Vol. 354, No. 2 (2017)
       
  • Absolute Continuity of Stable Foliations for Mappings of Banach Spaces
    • Authors: Alex Blumenthal; Lai-Sang Young
      Pages: 591 - 619
      Abstract: We prove the absolute continuity of stable foliations for mappings of Banach spaces satisfying conditions consistent with time-t maps of certain classes of dissipative PDEs. This property is crucial for passing information from submanifolds transversal to the stable foliation to the rest of the phase space; it is also used in proofs of ergodicity. Absolute continuity of stable foliations is well known in finite dimensional hyperbolic theory. On Banach spaces, the absence of nice geometric properties poses some additional difficulties.
      PubDate: 2017-09-01
      DOI: 10.1007/s00220-017-2912-z
      Issue No: Vol. 354, No. 2 (2017)
       
  • Path Integrals on Manifolds with Boundary
    • Authors: Matthias Ludewig
      Pages: 621 - 640
      Abstract: We give time-slicing path integral formulas for solutions to the heat equation corresponding to a self-adjoint Laplace type operator acting on sections of a vector bundle over a compact Riemannian manifold with boundary. More specifically, we show that such a solution can be approximated by integrals over finite-dimensional path spaces of piecewise geodesics subordinated to increasingly fine partitions of the time interval. We consider a subclass of mixed boundary conditions which includes standard Dirichlet and Neumann boundary conditions.
      PubDate: 2017-09-01
      DOI: 10.1007/s00220-017-2915-9
      Issue No: Vol. 354, No. 2 (2017)
       
  • On the MIT Bag Model in the Non-relativistic Limit
    • Authors: N. Arrizabalaga; L. Le Treust; N. Raymond
      Pages: 641 - 669
      Abstract: This paper is devoted to the spectral investigation of the MIT bag model, that is, the Dirac operator on a smooth and bounded domain of \({\mathbb{R}^3}\) with certain boundary conditions. When the mass m goes to \({\pm\infty}\) , we provide spectral asymptotic results.
      PubDate: 2017-09-01
      DOI: 10.1007/s00220-017-2916-8
      Issue No: Vol. 354, No. 2 (2017)
       
  • The Coulomb Branch of 3d $${\mathcal{N}= 4}$$ N = 4 Theories
    • Authors: Mathew Bullimore; Tudor Dimofte; Davide Gaiotto
      Pages: 671 - 751
      Abstract: We propose a construction for the quantum-corrected Coulomb branch of a general 3d gauge theory with \({\mathcal{N}=4}\) supersymmetry, in terms of local coordinates associated with an abelianized theory. In a fixed complex structure, the holomorphic functions on the Coulomb branch are given by expectation values of chiral monopole operators. We construct the chiral ring of such operators, using equivariant integration over BPS moduli spaces. We also quantize the chiral ring, which corresponds to placing the 3d theory in a 2d Omega background. Then, by unifying all complex structures in a twistor space, we encode the full hyperkähler metric on the Coulomb branch. We verify our proposals in a multitude of examples, including SQCD and linear quiver gauge theories, whose Coulomb branches have alternative descriptions as solutions to Bogomolnyi and/or Nahm equations.
      PubDate: 2017-09-01
      DOI: 10.1007/s00220-017-2903-0
      Issue No: Vol. 354, No. 2 (2017)
       
  • Deformed Virasoro Algebras from Elliptic Quantum Algebras
    • Authors: J. Avan; L. Frappat; E. Ragoucy
      Pages: 753 - 773
      Abstract: We revisit the construction of deformed Virasoro algebras from elliptic quantum algebras of vertex type, generalizing the bilinear trace procedure proposed in the 1990s. It allows us to make contact with the vertex operator techniques that were introduced separately at the same period. As a by-product, the method pinpoints two critical values of the central charge for which the center of the algebra is extended, as well as (in the gl(2) case) a Liouville formula.
      PubDate: 2017-09-01
      DOI: 10.1007/s00220-017-2909-7
      Issue No: Vol. 354, No. 2 (2017)
       
  • Aubry–Mather Theory for Conformally Symplectic Systems
    • Authors: Stefano Marò; Alfonso Sorrentino
      Pages: 775 - 808
      Abstract: In this article we develop an analogue of Aubry–Mather theory for a class of dissipative systems, namely conformally symplectic systems, and prove the existence of interesting invariant sets, which, in analogy to the conservative case, will be called the Aubry and the Mather sets. Besides describing their structure and their dynamical significance, we shall analyze their attracting/repelling properties, as well as their noteworthy role in driving the asymptotic dynamics of the system.
      PubDate: 2017-09-01
      DOI: 10.1007/s00220-017-2900-3
      Issue No: Vol. 354, No. 2 (2017)
       
  • The Tetrahedral Zamolodchikov Algebra and the $${AdS_5\times S^5}$$ A d S
           5 × S 5 S-matrix
    • Authors: Vladimir Mitev; Matthias Staudacher; Zengo Tsuboi
      Pages: 1 - 30
      Abstract: The S-matrix of the \({AdS_5\times S^5}\) string theory is a tensor product of two centrally extended su \({(2 2)\ltimes \mathbb{R}^2}\) S-matrices, each of which is related to the R-matrix of the Hubbard model. The R-matrix of the Hubbard model was first found by Shastry, who ingeniously exploited the fact that, for zero coupling, the Hubbard model can be decomposed into two XX models. In this article, we review and clarify this construction from the AdS/CFT perspective and investigate the implications this has for the \({AdS_5\times S^5}\) S-matrix.
      PubDate: 2017-08-01
      DOI: 10.1007/s00220-017-2905-y
      Issue No: Vol. 354, No. 1 (2017)
       
  • Delocalization at Small Energy for Heavy-Tailed Random Matrices
    • Authors: Charles Bordenave; Alice Guionnet
      Pages: 115 - 159
      Abstract: We prove that the eigenvectors associated to small enough eigenvalues of a heavy-tailed symmetric random matrix are delocalized with probability tending to one as the size of the matrix grows to infinity. The delocalization is measured thanks to a simple criterion related to the inverse participation ratio which computes an average ratio of \({L^4}\) and \({L^2}\) -norms of vectors. In contrast, as a consequence of a previous result, for random matrices with sufficiently heavy tails, the eigenvectors associated to large enough eigenvalues are localized according to the same criterion. The proof is based on a new analysis of the fixed point equation satisfied asymptotically by the law of a diagonal entry of the resolvent of this matrix.
      PubDate: 2017-08-01
      DOI: 10.1007/s00220-017-2914-x
      Issue No: Vol. 354, No. 1 (2017)
       
  • Global Dynamics Above the First Excited Energy for the Nonlinear
           Schrödinger Equation with a Potential
    • Authors: Kenji Nakanishi
      Pages: 161 - 212
      Abstract: Consider the focusing nonlinear Schrödinger equation with a potential with a single negative eigenvalue. It has solitons with negative small energy, which are asymptotically stable, and solitons with positive large energy, which are unstable. We classify the global dynamics into nine sets of solutions in the phase space including both solitons, restricted by small mass, radial symmetry, and an energy bound slightly above the second lowest one of solitons. The classification includes a stable set of solutions which start near the first excited solitons, approach the ground states locally in space for large time with large radiation to the spatial infinity, and blow up in negative finite time.
      PubDate: 2017-08-01
      DOI: 10.1007/s00220-017-2902-1
      Issue No: Vol. 354, No. 1 (2017)
       
  • Regularity of the 3 D Stationary Hall Magnetohydrodynamic Equations on the
           Plane
    • Authors: Dongho Chae; Jörg Wolf
      Pages: 213 - 230
      Abstract: We study the regularity of weak solutions to the 3D valued stationary Hall magnetohydrodynamic equations on \({\mathbb{R}^2}\) . We prove that every weak solution is smooth. Furthermore, we prove a Liouville type theorem for the Hall equations.
      PubDate: 2017-08-01
      DOI: 10.1007/s00220-017-2908-8
      Issue No: Vol. 354, No. 1 (2017)
       
  • Uniqueness of the Representation in Homogeneous Isotropic LQC
    • Authors: Jonathan Engle; Maximilian Hanusch; Thomas Thiemann
      Pages: 231 - 246
      Abstract: We show that the standard representation of homogeneous isotropic loop quantum cosmology (LQC) is the GNS-representation that corresponds to the unique state on the reduced quantum holonomy-flux *-algebra that is invariant under residual diffeomorphisms—both when the standard algebra is used as well as when one uses the extended algebra proposed by Fleischhack. More precisely, we find that in both situations the GNS-Hilbert spaces coincide, and that in the Fleischhack case the additional algebra elements are just mapped to zero operators. In order for the residual diffeomorphisms to have a well-defined action on the quantum algebra, we have let them act on the fiducial cell as well as on the dynamical variables, thereby recovering covariance. Consistency with Ashtekar and Campilgia in the Bianchi case is also shown.
      PubDate: 2017-08-01
      DOI: 10.1007/s00220-017-2881-2
      Issue No: Vol. 354, No. 1 (2017)
       
  • Counting Unstable Eigenvalues in Hamiltonian Spectral Problems via
           Commuting Operators
    • Authors: Mariana Haragus; Jin Li; Dmitry E. Pelinovsky
      Pages: 247 - 268
      Abstract: We present a general counting result for the unstable eigenvalues of linear operators of the form J L in which J and L are skew- and self-adjoint operators, respectively. Assuming that there exists a self-adjoint operator K such that the operators J L and J K commute, we prove that the number of unstable eigenvalues of J L is bounded by the number of nonpositive eigenvalues of K. As an application, we discuss the transverse stability of one-dimensional periodic traveling waves in the classical KP-II (Kadomtsev–Petviashvili) equation. We show that these one-dimensional periodic waves are transversely spectrally stable with respect to general two-dimensional bounded perturbations, including periodic and localized perturbations in either the longitudinal or the transverse direction, and that they are transversely linearly stable with respect to doubly periodic perturbations.
      PubDate: 2017-08-01
      DOI: 10.1007/s00220-017-2898-6
      Issue No: Vol. 354, No. 1 (2017)
       
  • Bulk Universality for Random Lozenge Tilings Near Straight Boundaries and
           for Tensor Products
    • Authors: Vadim Gorin
      Pages: 317 - 344
      Abstract: We prove that the asymptotic of the bulk local statistics in models of random lozenge tilings is universal in the vicinity of straight boundaries of the tiled domains. The result applies to uniformly random lozenge tilings of large polygonal domains on triangular lattice and to the probability measures describing the decomposition in Gelfand–Tsetlin bases of tensor products of representations of unitary groups. In a weaker form our theorem also applies to random domino tilings.
      PubDate: 2017-08-01
      DOI: 10.1007/s00220-016-2801-x
      Issue No: Vol. 354, No. 1 (2017)
       
  • q -Virasoro Modular Double and 3d Partition Functions
    • Authors: Anton Nedelin; Fabrizio Nieri; Maxim Zabzine
      Pages: 1059 - 1102
      Abstract: We study partition functions of 3d \({\mathcal{N}=2}\) \({{\rm U}(N)}\) gauge theories on compact manifolds which are S 1 fibrations over S 2. We show that the partition functions are free field correlators of vertex operators and screening charges of the q-Virasoro modular double, which we define. The inclusion of supersymmetric Wilson loops in arbitrary representations allows us to show that the generating functions of Wilson loop vacuum expectation values satisfy two \({{\rm SL}(2,\mathbb{Z})}\) -related commuting sets of q-Virasoro constraints. We generalize our construction to 3d \({\mathcal{N}=2}\) unitary quiver gauge theories and as an example we give the free boson realization of the ABJ(M) model.
      PubDate: 2017-08-01
      DOI: 10.1007/s00220-017-2882-1
      Issue No: Vol. 353, No. 3 (2017)
       
  • Classification of $${{\mathfrak{sl}}_3}$$ sl 3 Relations in the Witt Group
           of Nondegenerate Braided Fusion Categories
    • Authors: Andrew Schopieray
      Pages: 1103 - 1127
      Abstract: The Witt group of nondegenerate braided fusion categories \({{\mathcal{W}}}\) contains a subgroup \({{\mathcal{W}}_{\rm un}}\) consisting of Witt equivalence classes of pseudo-unitary nondegenerate braided fusion categories. For each finite dimensional simple Lie algebra \({{\mathfrak{g}}}\) and positive integer k there exists a pseudo-unitary category \({{\mathcal{C}}({\mathfrak{g}},k)}\) consisting of highest weight integrable \({{\hat{g}}}\) -modules of level k where \({\hat{{\mathfrak{g}}}}\) is the corresponding affine Lie algebra. Relations between the classes \({[{\mathcal{C}}({\mathfrak{sl}}_2,k)]}\) , \({k\geq1}\) have been completely described in the work of Davydov, Nikshych, and Ostrik. Here we give a complete classification of relations between the classes \({[{\mathcal{C}}({\mathfrak{sl}}_3,k)]}\) , \({k\geq1}\) with a view toward extending these methods to arbitrary simple finite dimensional Lie algebras \({{\mathfrak{g}}}\) and positive integer levels k.
      PubDate: 2017-08-01
      DOI: 10.1007/s00220-017-2831-z
      Issue No: Vol. 353, No. 3 (2017)
       
  • The $${\mathbb{Z}_2}$$ Z 2 -Orbifold of the $${\mathcal{W}_3}$$ W 3
           -Algebra
    • Authors: Masoumah Al-Ali; Andrew R. Linshaw
      Pages: 1129 - 1150
      Abstract: The Zamolodchikov \({\mathcal{W}_3}\) -algebra \({\mathcal{W}^c_3}\) with central charge c has full automorphism group \({\mathbb{Z}_2}\) . It was conjectured in the physics literature over 20 years ago that the orbifold \({(\mathcal{W}^c_3)^{\mathbb{Z}_2}}\) is of type \({\mathcal{W}(2,6,8,10,12)}\) for generic values of c. We prove this conjecture for all \({c \neq \frac{559 \pm 7 \sqrt{76657}}{95}}\) , and we show that for these two values, the orbifold is of type \({\mathcal{W}(2,6,8,10,12,14)}\) . This paper is part of a larger program of studying orbifolds and cosets of vertex algebras that depend continuously on a parameter. Minimal strong generating sets for orbifolds and cosets are often easy to find for generic values of the parameter, but determining which values are generic is a difficult problem. In the example of \({(\mathcal{W}^c_3)^{\mathbb{Z}_2}}\) , we solve this problem using tools from algebraic geometry.
      PubDate: 2017-08-01
      DOI: 10.1007/s00220-016-2812-7
      Issue No: Vol. 353, No. 3 (2017)
       
 
 
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