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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 Advances in Mathematics
  [SJR: 3.261]   [H-I: 65]   [10 followers]  Follow
    
   Full-text available via subscription Subscription journal
   ISSN (Print) 0001-8708 - ISSN (Online) 1090-2082
   Published by Elsevier Homepage  [3043 journals]
  • Smooth duality in natural characteristic
    • Authors: Jan Kohlhaase
      Pages: 1 - 49
      Abstract: Publication date: 7 September 2017
      Source:Advances in Mathematics, Volume 317
      Author(s): Jan Kohlhaase
      We develop a duality theory for admissible smooth representations of p-adic Lie groups on vector spaces over fields of characteristic p. To this end we introduce certain higher smooth duality functors and relate our construction to the Auslander duality of completed group rings. We study the behavior of smooth duality under tensor products, inflation and induction, and discuss the dimension theory of smooth mod-p representations of a p-adic reductive group. Finally, we compute the higher smooth duals of the irreducible smooth representations of GL 2 ( Q p ) in characteristic p and relate our results to the contragredient operation of Colmez.

      PubDate: 2017-07-07T14:44:21Z
      DOI: 10.1016/j.aim.2017.06.038
      Issue No: Vol. 317 (2017)
       
  • Geometric representations of the formal affine Hecke algebra
    • Authors: Gufang Zhao; Changlong Zhong
      Pages: 50 - 90
      Abstract: Publication date: 7 September 2017
      Source:Advances in Mathematics, Volume 317
      Author(s): Gufang Zhao, Changlong Zhong
      For any formal group law, there is a formal affine Hecke algebra defined by Hoffnung–Malagón-López–Savage–Zainoulline. Coming from this formal group law, there is also an oriented cohomology theory. We identify the formal affine Hecke algebra with a convolution algebra coming from the oriented cohomology theory applied to the Steinberg variety. As a consequence, this algebra acts on the corresponding cohomology of the Springer fibers. This generalizes the action of classical affine Hecke algebra on the K-theory of the Springer fibers constructed by Lusztig. We also give a residue interpretation of the formal affine Hecke algebra, which generalizes the residue construction of Ginzburg–Kapranov–Vasserot when the formal group law comes from a 1-dimensional algebraic group.

      PubDate: 2017-07-07T14:44:21Z
      DOI: 10.1016/j.aim.2017.03.026
      Issue No: Vol. 317 (2017)
       
  • Injective subsets of l∞(I)
    • Authors: Dominic Descombes; Maël Pavón
      Pages: 91 - 107
      Abstract: Publication date: 7 September 2017
      Source:Advances in Mathematics, Volume 317
      Author(s): Dominic Descombes, Maël Pavón
      We prove an explicit characterization of all injective subsets of the model space l ∞ ( I ) of all bounded real-valued functions defined on a non-empty set I, endowed with the supremum norm. Since the class of all injective metric spaces coincides with the one of all absolute 1-Lipschitz retracts, the present work yields a characterization of all the subsets of l ∞ ( I ) that are absolute 1-Lipschitz retracts.

      PubDate: 2017-07-07T14:44:21Z
      DOI: 10.1016/j.aim.2017.06.025
      Issue No: Vol. 317 (2017)
       
  • Semiprojectivity and properly infinite projections in graph
           C⁎-algebras
    • Authors: Søren Eilers; Takeshi Katsura
      Pages: 108 - 156
      Abstract: Publication date: 7 September 2017
      Source:Advances in Mathematics, Volume 317
      Author(s): Søren Eilers, Takeshi Katsura
      We give a complete description of which unital graph C ⁎ -algebras are semiprojective, and use it to disprove two conjectures by Blackadar. To do so, we perform a detailed analysis of which projections are properly infinite in such C ⁎ -algebras.

      PubDate: 2017-07-21T02:31:05Z
      DOI: 10.1016/j.aim.2017.06.034
      Issue No: Vol. 317 (2017)
       
  • Spectral cluster bounds for orthonormal systems and oscillatory integral
           operators in Schatten spaces
    • Authors: Rupert L. Frank; Julien Sabin
      Pages: 157 - 192
      Abstract: Publication date: 7 September 2017
      Source:Advances in Mathematics, Volume 317
      Author(s): Rupert L. Frank, Julien Sabin
      We generalize the L p spectral cluster bounds of Sogge for the Laplace–Beltrami operator on compact Riemannian manifolds to systems of orthonormal functions. The optimality of these new bounds is also discussed. These spectral cluster bounds follow from Schatten-type bounds on oscillatory integral operators.

      PubDate: 2017-07-21T02:31:05Z
      DOI: 10.1016/j.aim.2017.06.023
      Issue No: Vol. 317 (2017)
       
  • Free Stein kernels and an improvement of the free logarithmic Sobolev
           inequality
    • Authors: Max Fathi; Brent Nelson
      Pages: 193 - 223
      Abstract: Publication date: 7 September 2017
      Source:Advances in Mathematics, Volume 317
      Author(s): Max Fathi, Brent Nelson
      We introduce a free version of the Stein kernel, relative to a semicircular law. We use it to obtain a free counterpart of the HSI inequality of Ledoux, Peccatti and Nourdin, which is an improvement of the free logarithmic Sobolev inequality of Biane and Speicher, as well as a rate of convergence in the (multivariate) entropic free Central Limit Theorem. We also compute the free Stein kernels for several relevant families of self-adjoint operators.

      PubDate: 2017-07-21T02:31:05Z
      DOI: 10.1016/j.aim.2017.06.035
      Issue No: Vol. 317 (2017)
       
  • Part I, Free actions of compact Abelian groups on C⁎-algebras
    • Authors: Kay Schwieger; Stefan Wagner
      Pages: 224 - 266
      Abstract: Publication date: 7 September 2017
      Source:Advances in Mathematics, Volume 317
      Author(s): Kay Schwieger, Stefan Wagner
      We study free actions of compact groups on unital C⁎-algebras. In particular, we provide a complete classification theory of these actions for compact Abelian groups and explain its relation to the classification of classical principal bundles.

      PubDate: 2017-07-21T02:31:05Z
      DOI: 10.1016/j.aim.2017.06.036
      Issue No: Vol. 317 (2017)
       
  • The Freidlin–Gärtner formula for general reaction terms
    • Authors: Luca Rossi
      Pages: 267 - 298
      Abstract: Publication date: 7 September 2017
      Source:Advances in Mathematics, Volume 317
      Author(s): Luca Rossi
      We devise a new geometric approach to study the propagation of disturbance – compactly supported data – in reaction–diffusion equations. The method builds a bridge between the propagation of disturbance and of almost planar solutions. It applies to very general reaction–diffusion equations. The main consequences we derive in this paper are: a new proof of the classical Freidlin–Gärtner formula for the asymptotic speed of spreading for periodic Fisher–KPP equations; extension of the formula to the monostable, combustion and bistable cases; existence of the asymptotic speed of spreading for equations with almost periodic temporal dependence; derivation of multi-tiered propagation for multistable equations.

      PubDate: 2017-07-21T02:31:05Z
      DOI: 10.1016/j.aim.2017.07.002
      Issue No: Vol. 317 (2017)
       
  • Comparing the commutative and non-commutative resolutions for
           determinantal varieties of skew symmetric and symmetric matrices
    • Authors: Špela Špenko; Michel Van den Bergh
      Pages: 350 - 370
      Abstract: Publication date: 7 September 2017
      Source:Advances in Mathematics, Volume 317
      Author(s): Špela Špenko, Michel Van den Bergh
      Let Y be the variety of (skew) symmetric n × n -matrices of rank ≤r. In paper we construct a full faithful embedding between the derived category of a non-commutative resolution of Y, constructed earlier by the authors, and the derived category of the classical Springer resolution of Y.

      PubDate: 2017-07-21T02:31:05Z
      DOI: 10.1016/j.aim.2017.06.004
      Issue No: Vol. 317 (2017)
       
  • Towards homological projective duality for S2P3 and S2P4
    • Authors: Shinobu Hosono; Hiromichi Takagi
      Pages: 371 - 409
      Abstract: Publication date: 7 September 2017
      Source:Advances in Mathematics, Volume 317
      Author(s): Shinobu Hosono, Hiromichi Takagi
      We provide homological foundations to establish conjectural homological projective dualities in two cases; 1) the duality between S 2 P 3 and the double cover of the projective 9-space branched along the symmetric determinantal quartic, and 2) the duality between S 2 P 4 and the double cover of the symmetric determinantal quintic in P 14 branched along the symmetric determinantal locus of rank at most 3.

      PubDate: 2017-07-21T02:31:05Z
      DOI: 10.1016/j.aim.2017.06.039
      Issue No: Vol. 317 (2017)
       
  • Wave breaking in the Whitham equation
    • Authors: Vera Mikyoung Hur
      Pages: 410 - 437
      Abstract: Publication date: 7 September 2017
      Source:Advances in Mathematics, Volume 317
      Author(s): Vera Mikyoung Hur
      We prove wave breaking — bounded solutions with unbounded derivatives — in the nonlinear nonlocal equation which combines the dispersion relation of water waves and a nonlinearity of the shallow water equations, provided that the slope of the initial datum is sufficiently negative, whereby we solve a Whitham's conjecture. We extend the result to equations of Korteweg–de Vries type for a range of fractional dispersion.

      PubDate: 2017-07-21T02:31:05Z
      DOI: 10.1016/j.aim.2017.07.006
      Issue No: Vol. 317 (2017)
       
  • Metric uniformization of morphisms of Berkovich curves
    • Authors: Michael Temkin
      Pages: 438 - 472
      Abstract: Publication date: 7 September 2017
      Source:Advances in Mathematics, Volume 317
      Author(s): Michael Temkin
      We show that the metric structure of morphisms f : Y → X between quasi-smooth compact Berkovich curves over an algebraically closed field admits a finite combinatorial description. In particular, for a large enough skeleton Γ = ( Γ Y , Γ X ) of f, the sets N f , ≥ n of points of Y of multiplicity at least n in the fiber are radial around Γ Y with the radius changing piecewise monomially along Γ Y . In this case, for any interval l = [ z , y ] ⊂ Y connecting a point z of type 1 to the skeleton, the restriction f l gives rise to a profile piecewise monomial function φ y : [ 0 , 1 ] → [ 0 , 1 ] that depends only on the type 2 point y ∈ Γ Y . In particular, the metric structure of f is determined by Γ and the family of the profile functions { φ y } with y ∈ Γ Y ( 2 ) . We prove that this family is piecewise monomial in y and naturally extends to the whole Y. In addition, we extend the classical theory of higher ramification groups to arbitrary real-valued fields and show that φ y coincides with the Herbrand function of H ( y ) / H ( f ( y ) ) . This gives a curious geometric interpretation of the Herbrand function, which also applies to non-normal and even inseparable extensions.

      PubDate: 2017-07-21T02:31:05Z
      DOI: 10.1016/j.aim.2017.07.010
      Issue No: Vol. 317 (2017)
       
  • Stochastic higher spin six vertex model and q-TASEPs
    • Authors: Daniel Orr; Leonid Petrov
      Pages: 473 - 525
      Abstract: Publication date: 7 September 2017
      Source:Advances in Mathematics, Volume 317
      Author(s): Daniel Orr, Leonid Petrov
      We present two new connections between the inhomogeneous stochastic higher spin six vertex model in a quadrant and integrable stochastic systems from the Macdonald processes hierarchy. First, we show how Macdonald q-difference operators with t = 0 (an algebraic tool crucial for studying the corresponding Macdonald processes) can be utilized to get q-moments of the height function h in the higher spin six vertex model first computed in [21] using Bethe ansatz. This result in particular implies that for the vertex model with the step Bernoulli boundary condition, the value of h at an arbitrary point ( N + 1 , T ) ∈ Z ≥ 2 × Z ≥ 1 has the same distribution as the last component λ N of a random partition under a specific t = 0 Macdonald measure. On the other hand, it is known that x N : = λ N − N can be identified with the location of the Nth particle in a certain discrete time q-TASEP started from the step initial configuration. The second construction we present is a coupling of this q-TASEP and the higher spin six vertex model (with the step Bernoulli boundary condition) along time-like paths providing an independent probabilistic explanation of the equality of h ( N + 1 , T ) and x N + N in distribution. As an illustration of our main results we obtain GUE Tracy–Widom asymptotics of a certain discrete time q-TASEP (with the step initial configuration and special jump parameters) by means of Schur measures (which are t = q Macdonald measures). This analysis combines our results with the identification of averages of observables between the stochastic higher spin six vertex model and Schur measures obtained recently in [8].

      PubDate: 2017-07-28T02:54:51Z
      DOI: 10.1016/j.aim.2017.07.003
      Issue No: Vol. 317 (2017)
       
  • Embeddedness of the solutions to the H-Plateau problem
    • Authors: Baris Coskunuzer
      Pages: 553 - 574
      Abstract: Publication date: 7 September 2017
      Source:Advances in Mathematics, Volume 317
      Author(s): Baris Coskunuzer
      We generalize Meeks and Yau's embeddedness result on the solutions of the Plateau problem to constant mean curvature disks. We show that any minimizing H-disk in an H 0 -convex domain is embedded for any H ∈ [ 0 , H 0 ) . In particular, for the unit ball B in R 3 , this implies that for any H ∈ [ 0 , 1 ] , any Jordan curve in ∂ B bounds an embedded H-disk in B.

      PubDate: 2017-07-21T02:31:05Z
      DOI: 10.1016/j.aim.2017.07.004
      Issue No: Vol. 317 (2017)
       
  • Batalin–Vilkovisky quantization and the algebraic index
    • Authors: Ryan E. Grady; Qin Li; Si Li
      Pages: 575 - 639
      Abstract: Publication date: 7 September 2017
      Source:Advances in Mathematics, Volume 317
      Author(s): Ryan E. Grady, Qin Li, Si Li
      Into a geometric setting, we import the physical interpretation of index theorems via semi-classical analysis in topological quantum field theory. We develop a direct relationship between Fedosov's deformation quantization of a symplectic manifold X and the Batalin–Vilkovisky (BV) quantization of a one-dimensional sigma model with target X. This model is a quantum field theory of AKSZ type and is quantized rigorously using Costello's homotopic theory of effective renormalization. We show that Fedosov's Abelian connections on the Weyl bundle produce solutions to the effective quantum master equation. Moreover, BV integration produces a natural trace map on the deformation quantized algebra. This formulation allows us to exploit a (rigorous) localization argument in quantum field theory to deduce the algebraic index theorem via semi-classical analysis, i.e., one-loop Feynman diagram computations.

      PubDate: 2017-07-21T02:31:05Z
      DOI: 10.1016/j.aim.2017.07.007
      Issue No: Vol. 317 (2017)
       
  • Corrigendum to “Subcritical approach to sharp
           Hardy–Littlewood–Sobolev type inequalities on the upper half space”
           [Adv. Math. 312 (2017) 1–45]
    • Authors: Jingbo Dou; Qianqiao Guo; Meijun Zhu
      Pages: 640 - 644
      Abstract: Publication date: 7 September 2017
      Source:Advances in Mathematics, Volume 317
      Author(s): Jingbo Dou, Qianqiao Guo, Meijun Zhu


      PubDate: 2017-07-28T02:54:51Z
      DOI: 10.1016/j.aim.2017.07.009
      Issue No: Vol. 317 (2017)
       
  • Contact measures in isotropic spaces
    • Authors: Gil Solanes
      Pages: 645 - 664
      Abstract: Publication date: 7 September 2017
      Source:Advances in Mathematics, Volume 317
      Author(s): Gil Solanes
      We revisit the contact measures introduced by Firey, and further developed by Schneider and Teufel, from the perspective of the theory of valuations on manifolds. This reveals a link between the kinematic formulas for area measures studied by Wannerer and the integral geometry of curved isotropic spaces. As an application we find explicitly the kinematic formula for the surface area measure in Hermitian space.

      PubDate: 2017-07-28T02:54:51Z
      DOI: 10.1016/j.aim.2017.07.008
      Issue No: Vol. 317 (2017)
       
  • Turner doubles and generalized Schur algebras
    • Authors: Anton Evseev; Alexander Kleshchev
      Pages: 665 - 717
      Abstract: Publication date: 7 September 2017
      Source:Advances in Mathematics, Volume 317
      Author(s): Anton Evseev, Alexander Kleshchev
      Turner's Conjecture describes all blocks of symmetric groups and Hecke algebras up to derived equivalence in terms of certain double algebras. With a view towards a proof of this conjecture, we develop a general theory of Turner doubles. In particular, we describe doubles as explicit maximal symmetric subalgebras of certain generalized Schur algebras and establish a Schur–Weyl duality with wreath product algebras.

      PubDate: 2017-07-28T02:54:51Z
      DOI: 10.1016/j.aim.2017.07.012
      Issue No: Vol. 317 (2017)
       
  • Chern–Gauss–Bonnet and Lefschetz duality from a currential
           point of view
    • Authors: Daniel Cibotaru
      Pages: 718 - 757
      Abstract: Publication date: 7 September 2017
      Source:Advances in Mathematics, Volume 317
      Author(s): Daniel Cibotaru
      We use the mapping cone for the relative deRham cohomology of a manifold with boundary in order to show that the Chern–Gauss–Bonnet Theorem for oriented Riemannian vector bundles over such manifolds is a manifestation of Lefschetz Duality in any of the two embodiments of the latter. We explain how Thom isomorphism fits into this picture, complementing thus the classical results about Thom forms with compact support. When the rank is odd, we construct, by using secondary transgression forms introduced here, a new closed pair of forms on the disk bundle associated to a vector bundle, pair which is Lefschetz dual to the zero section.

      PubDate: 2017-07-28T02:54:51Z
      DOI: 10.1016/j.aim.2017.07.005
      Issue No: Vol. 317 (2017)
       
  • How to avoid a compact set
    • Authors: Antongiulio Fornasiero; Philipp Hieronymi; Erik Walsberg
      Pages: 758 - 785
      Abstract: Publication date: 7 September 2017
      Source:Advances in Mathematics, Volume 317
      Author(s): Antongiulio Fornasiero, Philipp Hieronymi, Erik Walsberg
      A first-order expansion of the R -vector space structure on R does not define every compact subset of every R n if and only if topological and Hausdorff dimension coincide on all closed definable sets. Equivalently, if A ⊆ R k is closed and the Hausdorff dimension of A exceeds the topological dimension of A, then every compact subset of every R n can be constructed from A using finitely many boolean operations, cartesian products, and linear operations. The same statement fails when Hausdorff dimension is replaced by packing dimension.

      PubDate: 2017-07-28T02:54:51Z
      DOI: 10.1016/j.aim.2017.07.011
      Issue No: Vol. 317 (2017)
       
  • Local existence and uniqueness for the non-resistive MHD equations in
           homogeneous Besov spaces
    • Authors: Jinlu Li; Wenke Tan; Zhaoyang Yin
      Pages: 786 - 798
      Abstract: Publication date: 7 September 2017
      Source:Advances in Mathematics, Volume 317
      Author(s): Jinlu Li, Wenke Tan, Zhaoyang Yin
      In the paper, we consider the Cauchy problem of the non-resistive MHD equations in homogeneous Besov spaces. We prove the local existence and uniqueness of the solution to the non-resistive MHD equations by using the iterative scheme and compactness arguments. Our obtained result improves considerably the recent results in [2,11].

      PubDate: 2017-07-28T02:54:51Z
      DOI: 10.1016/j.aim.2017.07.013
      Issue No: Vol. 317 (2017)
       
  • Hardy and Rellich inequalities, identities, and sharp remainders on
           homogeneous groups
    • Authors: Michael Ruzhansky; Durvudkhan Suragan
      Pages: 799 - 822
      Abstract: Publication date: 7 September 2017
      Source:Advances in Mathematics, Volume 317
      Author(s): Michael Ruzhansky, Durvudkhan Suragan
      We give sharp remainder terms of L p and weighted Hardy and Rellich inequalities on one of most general subclasses of nilpotent Lie groups, namely the class of homogeneous groups. As consequences, we obtain analogues of the generalised classical Hardy and Rellich inequalities and the uncertainty principle on homogeneous groups. We also prove higher order inequalities of Hardy–Rellich type, all with sharp constants. A number of identities are derived including weighted and higher order types.

      PubDate: 2017-07-28T02:54:51Z
      DOI: 10.1016/j.aim.2017.07.020
      Issue No: Vol. 317 (2017)
       
  • A uniform estimate for general quaternionic Calabi problem (with appendix
           by Daniel Barlet)
    • Authors: Semyon Alesker; Egor Shelukhin
      Pages: 1 - 52
      Abstract: Publication date: 20 August 2017
      Source:Advances in Mathematics, Volume 316
      Author(s): Semyon Alesker, Egor Shelukhin
      We prove a C 0 a priori estimate on a solution of the quaternionic Calabi problem on an arbitrary compact connected HKT-manifold. This generalizes earlier results [9] and [7] where this result was proven under certain extra assumptions on the manifold.

      PubDate: 2017-06-14T15:22:11Z
      DOI: 10.1016/j.aim.2017.05.023
      Issue No: Vol. 316 (2017)
       
  • Pointwise decay for the Maxwell field on black hole space–times
    • Authors: Jason Metcalfe; Daniel Tataru; Mihai Tohaneanu
      Pages: 53 - 93
      Abstract: Publication date: 20 August 2017
      Source:Advances in Mathematics, Volume 316
      Author(s): Jason Metcalfe, Daniel Tataru, Mihai Tohaneanu
      In this article we study the pointwise decay properties of solutions to the Maxwell system on a class of nonstationary asymptotically flat backgrounds in three space dimensions. Under the assumption that uniform energy bounds and a weak form of local energy decay hold forward in time, we establish peeling estimates, as well as a t − 4 rate of decay on compact regions for all the components of the Maxwell tensor.

      PubDate: 2017-06-26T15:45:29Z
      DOI: 10.1016/j.aim.2017.05.024
      Issue No: Vol. 316 (2017)
       
  • Non-compact Newton boundary and Whitney equisingularity for non-isolated
           singularities
    • Authors: Christophe Eyral; Mutsuo Oka
      Pages: 94 - 113
      Abstract: Publication date: 20 August 2017
      Source:Advances in Mathematics, Volume 316
      Author(s): Christophe Eyral, Mutsuo Oka
      In an unpublished lecture note, J. Briançon observed that if { f t } is a family of isolated complex hypersurface singularities such that the Newton boundary of f t is independent of t and f t is non-degenerate, then the corresponding family of hypersurfaces { f t − 1 ( 0 ) } is Whitney equisingular (and hence topologically equisingular). A first generalization of this assertion to families with non-isolated singularities was given by the second author under a rather technical condition. In the present paper, we give a new generalization under a simpler condition.

      PubDate: 2017-06-26T15:45:29Z
      DOI: 10.1016/j.aim.2017.06.003
      Issue No: Vol. 316 (2017)
       
  • C⁎-algebras associated to graphs of groups
    • Authors: Nathan Brownlowe; Alexander Mundey; David Pask; Jack Spielberg; Anne Thomas
      Pages: 114 - 186
      Abstract: Publication date: 20 August 2017
      Source:Advances in Mathematics, Volume 316
      Author(s): Nathan Brownlowe, Alexander Mundey, David Pask, Jack Spielberg, Anne Thomas
      To a large class of graphs of groups we associate a C ⁎ -algebra universal for generators and relations. We show that this C ⁎ -algebra is stably isomorphic to the crossed product induced from the action of the fundamental group of the graph of groups on the boundary of its Bass–Serre tree. We characterise when this action is minimal, and find a sufficient condition under which it is locally contractive. In the case of generalised Baumslag–Solitar graphs of groups (graphs of groups in which every group is infinite cyclic) we also characterise topological freeness of this action. We are then able to establish a dichotomy for simple C ⁎ -algebras associated to generalised Baumslag–Solitar graphs of groups: they are either a Kirchberg algebra, or a stable Bunce–Deddens algebra.

      PubDate: 2017-06-26T15:45:29Z
      DOI: 10.1016/j.aim.2017.05.022
      Issue No: Vol. 316 (2017)
       
  • Generalized Kähler–Ricci flow and the classification of nondegenerate
           generalized Kähler surfaces
    • Authors: Jeffrey Streets
      Pages: 187 - 215
      Abstract: Publication date: 20 August 2017
      Source:Advances in Mathematics, Volume 316
      Author(s): Jeffrey Streets
      We study the generalized Kähler–Ricci flow on complex surfaces with nondegenerate Poisson structure, proving long time existence and convergence of the flow to a weak hyperKähler structure.

      PubDate: 2017-06-26T15:45:29Z
      DOI: 10.1016/j.aim.2017.06.002
      Issue No: Vol. 316 (2017)
       
  • Quantization and injective submodules of differential operator modules
    • Authors: Charles H. Conley; Dimitar Grantcharov
      Pages: 216 - 254
      Abstract: Publication date: 20 August 2017
      Source:Advances in Mathematics, Volume 316
      Author(s): Charles H. Conley, Dimitar Grantcharov
      The Lie algebra of vector fields on R m acts naturally on the spaces of differential operators between tensor field modules. Its projective subalgebra is isomorphic to sl m + 1 , and its affine subalgebra is a maximal parabolic subalgebra of the projective subalgebra with Levi factor gl m . We prove two results. First, we realize explicitly all injective objects of the parabolic category O g l m ( sl m + 1 ) of gl m -finite sl m + 1 -modules, as submodules of differential operator modules. Second, we study projective quantizations of differential operator modules, i.e., sl m + 1 -invariant splittings of their order filtrations. In the case of modules of differential operators from a tensor density module to an arbitrary tensor field module, we determine when there exists a unique projective quantization, when there exists no projective quantization, and when there exist multiple projective quantizations.

      PubDate: 2017-06-26T15:45:29Z
      DOI: 10.1016/j.aim.2017.06.001
      Issue No: Vol. 316 (2017)
       
  • Endpoint estimates for one-dimensional oscillator integral operators
    • Authors: Lechao Xiao
      Pages: 255 - 291
      Abstract: Publication date: 20 August 2017
      Source:Advances in Mathematics, Volume 316
      Author(s): Lechao Xiao
      The one-dimensional oscillatory integral operator associated to a real analytic phase S is given by T λ f ( x ) = ∫ − ∞ ∞ e i λ S ( x , y ) χ ( x , y ) f ( y ) d y . In their fundamental work, Phong and Stein established sharp L 2 estimates for T λ . The goal of this paper is to extend their results to all endpoints. In particular, we obtain a complete characterization for the mapping properties for T λ on L p ( R ) . More precisely, we show that ‖ T λ f ‖ p ≲ λ − α ‖ f ‖ p holds for some α > 0 if and only if ( 1 α p , 1 α p ′ ) lies in the reduced Newton polygon of S.

      PubDate: 2017-06-26T15:45:29Z
      DOI: 10.1016/j.aim.2017.06.007
      Issue No: Vol. 316 (2017)
       
  • Global entropy solutions to weakly nonlinear gas dynamics
    • Authors: Peng Qu; Zhouping Xin
      Pages: 292 - 355
      Abstract: Publication date: 20 August 2017
      Source:Advances in Mathematics, Volume 316
      Author(s): Peng Qu, Zhouping Xin
      Entropy weak solutions with bounded periodic initial data are considered for the system of weakly nonlinear gas dynamics. Through a modified Glimm scheme, an approximate solution sequence is constructed, and then a priori estimates are provided with the methods of approximate characteristics and approximate conservation laws, which gives not only the existence and uniqueness but also the uniform total variation bounds for the entropy solutions.

      PubDate: 2017-06-26T15:45:29Z
      DOI: 10.1016/j.aim.2017.06.006
      Issue No: Vol. 316 (2017)
       
  • Double canonical bases
    • Authors: Arkady Berenstein; Jacob Greenstein
      Pages: 381 - 468
      Abstract: Publication date: 20 August 2017
      Source:Advances in Mathematics, Volume 316
      Author(s): Arkady Berenstein, Jacob Greenstein
      We introduce a new class of bases for quantized universal enveloping algebras U q ( g ) and other doubles attached to semisimple and Kac–Moody Lie algebras. These bases contain dual canonical bases of upper and lower halves of U q ( g ) and are invariant under many symmetries including all Lusztig's symmetries if g is semisimple. It also turns out that a part of a double canonical basis of U q ( g ) spans its center and consists of higher Casimirs which suggests physical applications.

      PubDate: 2017-07-28T02:54:51Z
      DOI: 10.1016/j.aim.2017.06.005
      Issue No: Vol. 316 (2017)
       
  • The resolution of the Yang–Mills Plateau problem in super-critical
           dimensions
    • Authors: Mircea Petrache; Tristan Rivière
      Pages: 469 - 540
      Abstract: Publication date: 20 August 2017
      Source:Advances in Mathematics, Volume 316
      Author(s): Mircea Petrache, Tristan Rivière
      We study the minimization problem for the Yang–Mills energy under fixed boundary connection in supercritical dimension n ≥ 5 . We define the natural function space A G in which to formulate this problem in analogy to the space of integral currents used for the classical Plateau problem. The space A G can be also interpreted as a space of weak connections on a “real measure theoretic version” of reflexive sheaves from complex geometry. We prove the existence of weak solutions to the Yang–Mills Plateau problem in the space A G . We then prove the optimal regularity result for solutions of this Plateau problem. On the way to prove this result we establish a Coulomb gauge extraction theorem for weak curvatures with small Yang–Mills density. This generalizes to the general framework of weak L 2 curvatures previous works of Meyer–Rivière and Tao–Tian in which respectively a strong approximability property and an admissibility property were assumed in addition.

      PubDate: 2017-07-07T14:44:21Z
      DOI: 10.1016/j.aim.2017.06.012
      Issue No: Vol. 316 (2017)
       
  • Lefschetz theorems for torsion algebraic cycles in codimension 2
    • Authors: Deepam Patel; G.V. Ravindra
      Pages: 554 - 575
      Abstract: Publication date: 20 August 2017
      Source:Advances in Mathematics, Volume 316
      Author(s): Deepam Patel, G.V. Ravindra
      Let Y be a smooth projective variety over C , and X be a smooth hypersurface in Y. We prove that the natural restriction map on Chow groups of codimension two cycles is an isomorphism when restricted to the torsion subgroups provided dim ⁡ Y ≥ 5 . We prove an analogous statement for a very general hypersurface X ⊂ P 4 of degree ≥5. In the more general setting of a very general hypersurface X of sufficiently high degree in a fixed smooth projective four-fold Y, under some additional hypothesis, we prove that the restriction map is an isomorphism on ℓ-primary torsion for almost all primes ℓ. As a consequence, we obtain a weak Lefschetz theorem for torsion in the Griffiths groups of codimension 2 cycles, and prove the injectivity of the Abel–Jacobi map when restricted to torsion in this Griffiths group, thereby providing a partial answer to a question of Nori.

      PubDate: 2017-07-07T14:44:21Z
      DOI: 10.1016/j.aim.2017.05.018
      Issue No: Vol. 316 (2017)
       
  • Tannaka duality revisited
    • Authors: Bhargav Bhatt; Daniel Halpern-Leistner
      Pages: 576 - 612
      Abstract: Publication date: 20 August 2017
      Source:Advances in Mathematics, Volume 316
      Author(s): Bhargav Bhatt, Daniel Halpern-Leistner
      We establish several strengthened versions of Lurie's Tannaka duality theorem for certain classes of spectral algebraic stacks. Our most general version of Tannaka duality identifies maps between stacks with exact symmetric monoidal functors between ∞-categories of quasi-coherent complexes which preserve connective and pseudo-coherent complexes.

      PubDate: 2017-07-07T14:44:21Z
      DOI: 10.1016/j.aim.2016.08.040
      Issue No: Vol. 316 (2017)
       
  • Universality limits for generalized Jacobi measures
    • Authors: Tivadar Danka
      Pages: 613 - 666
      Abstract: Publication date: 20 August 2017
      Source:Advances in Mathematics, Volume 316
      Author(s): Tivadar Danka
      In this paper universality limits are studied in connection with measures which exhibit power-type singular behavior somewhere in their support. We extend the results of Lubinsky for Jacobi measures supported on [ − 1 , 1 ] to generalized Jacobi measures supported on a compact subset of the real line, where the singularity can be located in the interior or at an endpoint of the support. The analysis is based upon the Riemann–Hilbert method, Christoffel functions, the polynomial inverse image method of Totik and the normal family approach of Lubinsky.

      PubDate: 2017-07-07T14:44:21Z
      DOI: 10.1016/j.aim.2017.06.026
      Issue No: Vol. 316 (2017)
       
  • Interpolation and extrapolation of strictly singular operators between Lp
           spaces
    • Authors: Francisco L. Hernández; Evgeny M. Semenov; Pedro Tradacete
      Pages: 667 - 690
      Abstract: Publication date: 20 August 2017
      Source:Advances in Mathematics, Volume 316
      Author(s): Francisco L. Hernández, Evgeny M. Semenov, Pedro Tradacete
      We study the interpolation and extrapolation properties of strictly singular operators between different L p spaces. To this end, the structure of strictly singular non-compact operators between L p − L q spaces is analyzed. Among other things, we clarify the relation between strict singularity and the L-characteristic set of an operator. In particular, Krasnoselskii's interpolation theorem for compact operators is extended to the class of strictly singular operators.

      PubDate: 2017-07-07T14:44:21Z
      DOI: 10.1016/j.aim.2017.06.028
      Issue No: Vol. 316 (2017)
       
  • The structure of the free boundary in the fully nonlinear thin obstacle
           problem
    • Authors: Xavier Ros-Oton; Joaquim Serra
      Pages: 710 - 747
      Abstract: Publication date: 20 August 2017
      Source:Advances in Mathematics, Volume 316
      Author(s): Xavier Ros-Oton, Joaquim Serra
      We study the regularity of the free boundary in the fully nonlinear thin obstacle problem. Our main result establishes that the free boundary is C 1 near any regular point. This extends to the fully nonlinear setting the celebrated result of Athanasopoulos–Caffarelli–Salsa [1]. The proofs we present here are completely independent from those in [1], and do not rely on any monotonicity formula. Furthermore, an interesting and novel feature of our proofs is that we establish the regularity of the free boundary without classifying blow-ups, a priori they could be non-homogeneous and/or non-unique. We do not classify blow-ups but only prove that they are 1D on { x n = 0 } .

      PubDate: 2017-07-07T14:44:21Z
      DOI: 10.1016/j.aim.2017.06.032
      Issue No: Vol. 316 (2017)
       
  • Cartan subalgebras and the UCT problem
    • Authors: Selçuk Barlak; Xin Li
      Pages: 748 - 769
      Abstract: Publication date: 20 August 2017
      Source:Advances in Mathematics, Volume 316
      Author(s): Selçuk Barlak, Xin Li
      We show that a separable, nuclear C*-algebra satisfies the UCT if it has a Cartan subalgebra. Furthermore, we prove that the UCT is closed under crossed products by group actions which respect Cartan subalgebras. This observation allows us to deduce, among other things, that a crossed product O 2 ⋊ α Z p satisfies the UCT if there is some automorphism γ of O 2 with the property that γ ( D 2 ) ⊆ O 2 ⋊ α Z p is regular, where D 2 denotes the canonical masa of O 2 . We prove that this condition is automatic if γ ( D 2 ) ⊆ O 2 ⋊ α Z p is not a masa or α ( γ ( D 2 ) ) is inner conjugate to γ ( D 2 ) . Finally, we relate the UCT problem for separable, nuclear, M 2 ∞ -absorbing C*-algebras to Cartan subalgebras and order two automorphisms of O 2 .

      PubDate: 2017-07-07T14:44:21Z
      DOI: 10.1016/j.aim.2017.06.024
      Issue No: Vol. 316 (2017)
       
  • Relative Chow stability and extremal metrics
    • Authors: Reza Seyyedali
      Pages: 770 - 805
      Abstract: Publication date: 20 August 2017
      Source:Advances in Mathematics, Volume 316
      Author(s): Reza Seyyedali
      We prove that the existence of extremal metrics implies asymptotically relative Chow stability. An application of this is the uniqueness, up to automorphisms, of extremal metrics in any polarization.

      PubDate: 2017-07-07T14:44:21Z
      DOI: 10.1016/j.aim.2017.06.031
      Issue No: Vol. 316 (2017)
       
  • Centro-affine tensor valuations
    • Authors: Christoph Haberl; Lukas Parapatits
      Pages: 806 - 865
      Abstract: Publication date: 20 August 2017
      Source:Advances in Mathematics, Volume 316
      Author(s): Christoph Haberl, Lukas Parapatits
      All measurable SL ( n ) -covariant symmetric tensor valuations on convex polytopes containing the origin in their interiors are completely classified. It is shown that essentially the only examples of such valuations are the moment tensor and a tensor derived from L p surface area measures. This generalizes and unifies earlier results for the scalar, vector and matrix valued case.

      PubDate: 2017-07-07T14:44:21Z
      DOI: 10.1016/j.aim.2017.06.030
      Issue No: Vol. 316 (2017)
       
  • Fourier quasicrystals and discreteness of the diffraction spectrum
    • Authors: Nir Lev; Alexander Olevskii
      Pages: 1 - 26
      Abstract: Publication date: 31 July 2017
      Source:Advances in Mathematics, Volume 315
      Author(s): Nir Lev, Alexander Olevskii
      We prove that a positive-definite measure in R n with uniformly discrete support and discrete closed spectrum, is representable as a finite linear combination of Dirac combs, translated and modulated. This extends our recent results where we proved this under the assumption that also the spectrum is uniformly discrete. As an application we obtain that Hof's quasicrystals with uniformly discrete diffraction spectra must have a periodic diffraction structure.

      PubDate: 2017-05-31T04:59:10Z
      DOI: 10.1016/j.aim.2017.05.015
      Issue No: Vol. 315 (2017)
       
  • Strongly self-absorbing C⁎-dynamical systems, III
    • Abstract: Publication date: 20 August 2017
      Source:Advances in Mathematics, Volume 316
      Author(s): Gábor Szabó
      In this paper, we accomplish two objectives. Firstly, we extend and improve some results in the theory of (semi-)strongly self-absorbing C ⁎ -dynamical systems, which was introduced and studied in previous work. In particular, this concerns the theory when restricted to the case where all the semi-strongly self-absorbing actions are assumed to be unitarily regular, which is a mild technical condition. The central result in the first part is a strengthened version of the equivariant McDuff-type theorem, where equivariant tensorial absorption can be achieved with respect to so-called very strong cocycle conjugacy. Secondly, we establish completely new results within the theory. This mainly concerns how equivariantly Z -stable absorption can be reduced to equivariantly UHF-stable absorption with respect to a given semi-strongly self-absorbing action. Combining these abstract results with known uniqueness theorems due to Matui and Izumi–Matui, we obtain the following main result. If G is a torsion-free abelian group and D is one of the known strongly self-absorbing C ⁎ -algebras, then strongly outer G-actions on D are unique up to (very strong) cocycle conjugacy. This is new even for Z 3 -actions on the Jiang–Su algebra.

      PubDate: 2017-07-28T02:54:51Z
       
  • Harish-Chandra bimodules over rational Cherednik algebras
    • Authors: Simental
      Abstract: Publication date: 7 September 2017
      Source:Advances in Mathematics, Volume 317
      Author(s): José Simental
      We study Harish-Chandra bimodules over the rational Cherednik algebra H c ( W ) associated to a complex reflection group W with parameter c. Our results allow us to partially reduce the study of these bimodules to smaller algebras. We classify those pairs of parameters ( c , c ′ ) for which there exist fully supported Harish-Chandra bimodules, and give a description of the category of all Harish-Chandra bimodules modulo those without full support. When W is a symmetric group we are able to classify all irreducible Harish-Chandra bimodules. Our proofs are based on localization techniques, the action of the Namikawa–Weyl group on the set of parameters, and the study of partial KZ functors.

      PubDate: 2017-07-21T02:31:05Z
       
  • Copies of the random graph
    • Authors: Stevo
      Abstract: Publication date: 7 September 2017
      Source:Advances in Mathematics, Volume 317
      Author(s): Miloš S. Kurilić, Stevo Todorčević
      Let 〈 R , ∼ 〉 be the Rado graph, Emb ( R ) the monoid of its self-embeddings, P ( R ) = { f ( R ) : f ∈ Emb ( R ) } the set of copies of R contained in R, and I R the ideal of subsets of R which do not contain a copy of R. We consider the poset 〈 P ( R ) , ⊂ 〉 , the algebra P ( R ) / I R , and the inverse of the right Green's preorder on Emb ( R ) , and show that these preorders are forcing equivalent to a two step iteration of the form P ⁎ π , where the poset P is similar to the Sacks perfect set forcing: adds a generic real, has the ℵ 0 -covering property and, hence, preserves ω 1 , has the Sacks property and does not produce splitting reals, while π codes an ω-distributive forcing. Consequently, the Boolean completions of these four posets are isomorphic and the same holds for each countable graph containing a copy of the Rado graph.

      PubDate: 2017-07-21T02:31:05Z
       
  • A proof of the Cp′-regularity conjecture in the plane
    • Authors: Eduardo Teixeira; Miguel Urbano
      Abstract: Publication date: 20 August 2017
      Source:Advances in Mathematics, Volume 316
      Author(s): Damião J. Araújo, Eduardo V. Teixeira, José Miguel Urbano
      We establish a new oscillation estimate for solutions of nonlinear partial differential equations of elliptic, degenerate type. This new tool yields a precise control on the growth rate of solutions near their set of critical points, where ellipticity degenerates. As a consequence, we are able to prove the planar counterpart of the longstanding conjecture that solutions of the degenerate p-Poisson equation with a bounded source are locally of class C p ′ = C 1 , 1 p − 1 ; this regularity is optimal.

      PubDate: 2017-07-07T14:44:21Z
       
  • Sets of large dimension not containing polynomial configurations
    • Abstract: Publication date: 20 August 2017
      Source:Advances in Mathematics, Volume 316
      Author(s): András Máthé
      The main result of this paper is the following. Given countably many multivariate polynomials with rational coefficients and maximum degree d, we construct a compact set E ⊂ R n of Hausdorff dimension n / d which does not contain finite point configurations corresponding to the zero sets of the given polynomials. Given a set E ⊂ R n , we study the angles determined by three-point subsets of E. The main result implies the existence of a compact set in R n of Hausdorff dimension n / 2 which does not contain the angle π / 2 . (This is known to be sharp if n is even.) We show that there is a compact set of Hausdorff dimension n / 8 which does not contain an angle in any given countable set. We also construct a compact set E ⊂ R n of Hausdorff dimension n / 6 for which the set of angles determined by E is Lebesgue null. In the other direction, we present a result that every set of sufficiently large dimension contains an angle ε close to any given angle. The main result can also be applied to distance sets. As a corollary we obtain a compact set E ⊂ R n ( n ≥ 2 ) of Hausdorff dimension n / 2 which does not contain rational distances nor collinear points, for which the distance set is Lebesgue null, moreover, every distance and direction is realised only at most once by E.

      PubDate: 2017-07-07T14:44:21Z
       
 
 
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