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Publisher: Elsevier   (Total: 3089 journals)

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Showing 1 - 200 of 3089 Journals sorted alphabetically
A Practical Logic of Cognitive Systems     Full-text available via subscription   (Followers: 7)
AASRI Procedia     Open Access   (Followers: 15)
Academic Pediatrics     Hybrid Journal   (Followers: 25, SJR: 1.402, h-index: 51)
Academic Radiology     Hybrid Journal   (Followers: 22, SJR: 1.008, h-index: 75)
Accident Analysis & Prevention     Partially Free   (Followers: 87, SJR: 1.109, h-index: 94)
Accounting Forum     Hybrid Journal   (Followers: 25, SJR: 0.612, h-index: 27)
Accounting, Organizations and Society     Hybrid Journal   (Followers: 30, SJR: 2.515, h-index: 90)
Achievements in the Life Sciences     Open Access   (Followers: 4)
Acta Anaesthesiologica Taiwanica     Open Access   (Followers: 5, SJR: 0.338, h-index: 19)
Acta Astronautica     Hybrid Journal   (Followers: 364, SJR: 0.726, h-index: 43)
Acta Automatica Sinica     Full-text available via subscription   (Followers: 3)
Acta Biomaterialia     Hybrid Journal   (Followers: 26, SJR: 2.02, h-index: 104)
Acta Colombiana de Cuidado Intensivo     Full-text available via subscription   (Followers: 1)
Acta de Investigación Psicológica     Open Access   (Followers: 2)
Acta Ecologica Sinica     Open Access   (Followers: 8, SJR: 0.172, h-index: 29)
Acta Haematologica Polonica     Free   (Followers: 1, SJR: 0.123, h-index: 8)
Acta Histochemica     Hybrid Journal   (Followers: 3, SJR: 0.604, h-index: 38)
Acta Materialia     Hybrid Journal   (Followers: 228, SJR: 3.683, h-index: 202)
Acta Mathematica Scientia     Full-text available via subscription   (Followers: 5, SJR: 0.615, h-index: 21)
Acta Mechanica Solida Sinica     Full-text available via subscription   (Followers: 9, SJR: 0.442, h-index: 21)
Acta Oecologica     Hybrid Journal   (Followers: 10, SJR: 0.915, h-index: 53)
Acta Otorrinolaringologica (English Edition)     Full-text available via subscription   (Followers: 1)
Acta Otorrinolaringológica Española     Full-text available via subscription   (Followers: 3, SJR: 0.311, h-index: 16)
Acta Pharmaceutica Sinica B     Open Access   (Followers: 1)
Acta Poética     Open Access   (Followers: 4)
Acta Psychologica     Hybrid Journal   (Followers: 24, SJR: 1.365, h-index: 73)
Acta Sociológica     Open Access  
Acta Tropica     Hybrid Journal   (Followers: 6, SJR: 1.059, h-index: 77)
Acta Urológica Portuguesa     Open Access  
Actas Dermo-Sifiliograficas     Full-text available via subscription   (Followers: 4)
Actas Dermo-Sifiliográficas (English Edition)     Full-text available via subscription   (Followers: 3)
Actas Urológicas Españolas     Full-text available via subscription   (Followers: 4, SJR: 0.383, h-index: 19)
Actas Urológicas Españolas (English Edition)     Full-text available via subscription   (Followers: 2)
Actualites Pharmaceutiques     Full-text available via subscription   (Followers: 5, SJR: 0.141, h-index: 3)
Actualites Pharmaceutiques Hospitalieres     Full-text available via subscription   (Followers: 4, SJR: 0.112, h-index: 2)
Acupuncture and Related Therapies     Hybrid Journal   (Followers: 4)
Acute Pain     Full-text available via subscription   (Followers: 13)
Ad Hoc Networks     Hybrid Journal   (Followers: 11, SJR: 0.967, h-index: 57)
Addictive Behaviors     Hybrid Journal   (Followers: 15, SJR: 1.514, h-index: 92)
Addictive Behaviors Reports     Open Access   (Followers: 6)
Additive Manufacturing     Hybrid Journal   (Followers: 7, SJR: 1.039, h-index: 5)
Additives for Polymers     Full-text available via subscription   (Followers: 21)
Advanced Cement Based Materials     Full-text available via subscription   (Followers: 3)
Advanced Drug Delivery Reviews     Hybrid Journal   (Followers: 133, SJR: 5.2, h-index: 222)
Advanced Engineering Informatics     Hybrid Journal   (Followers: 11, SJR: 1.265, h-index: 53)
Advanced Powder Technology     Hybrid Journal   (Followers: 17, SJR: 0.739, h-index: 33)
Advances in Accounting     Hybrid Journal   (Followers: 9, SJR: 0.299, h-index: 15)
Advances in Agronomy     Full-text available via subscription   (Followers: 15, SJR: 2.071, h-index: 82)
Advances in Anesthesia     Full-text available via subscription   (Followers: 26, SJR: 0.169, h-index: 4)
Advances in Antiviral Drug Design     Full-text available via subscription   (Followers: 3)
Advances in Applied Mathematics     Full-text available via subscription   (Followers: 6, SJR: 1.054, h-index: 35)
Advances in Applied Mechanics     Full-text available via subscription   (Followers: 11, SJR: 0.801, h-index: 26)
Advances in Applied Microbiology     Full-text available via subscription   (Followers: 22, SJR: 1.286, h-index: 49)
Advances In Atomic, Molecular, and Optical Physics     Full-text available via subscription   (Followers: 16, SJR: 3.31, h-index: 42)
Advances in Biological Regulation     Hybrid Journal   (Followers: 4, SJR: 2.277, h-index: 43)
Advances in Botanical Research     Full-text available via subscription   (Followers: 3, SJR: 0.619, h-index: 48)
Advances in Cancer Research     Full-text available via subscription   (Followers: 25, SJR: 2.215, h-index: 78)
Advances in Carbohydrate Chemistry and Biochemistry     Full-text available via subscription   (Followers: 9, SJR: 0.9, h-index: 30)
Advances in Catalysis     Full-text available via subscription   (Followers: 5, SJR: 2.139, h-index: 42)
Advances in Cell Aging and Gerontology     Full-text available via subscription   (Followers: 4)
Advances in Cellular and Molecular Biology of Membranes and Organelles     Full-text available via subscription   (Followers: 12)
Advances in Chemical Engineering     Full-text available via subscription   (Followers: 26, SJR: 0.183, h-index: 23)
Advances in Child Development and Behavior     Full-text available via subscription   (Followers: 10, SJR: 0.665, h-index: 29)
Advances in Chronic Kidney Disease     Full-text available via subscription   (Followers: 9, SJR: 1.268, h-index: 45)
Advances in Clinical Chemistry     Full-text available via subscription   (Followers: 29, SJR: 0.938, h-index: 33)
Advances in Colloid and Interface Science     Full-text available via subscription   (Followers: 18, SJR: 2.314, h-index: 130)
Advances in Computers     Full-text available via subscription   (Followers: 16, SJR: 0.223, h-index: 22)
Advances in Dermatology     Full-text available via subscription   (Followers: 12)
Advances in Developmental Biology     Full-text available via subscription   (Followers: 11)
Advances in Digestive Medicine     Open Access   (Followers: 7)
Advances in DNA Sequence-Specific Agents     Full-text available via subscription   (Followers: 5)
Advances in Drug Research     Full-text available via subscription   (Followers: 22)
Advances in Ecological Research     Full-text available via subscription   (Followers: 45, SJR: 3.25, h-index: 43)
Advances in Engineering Software     Hybrid Journal   (Followers: 26, SJR: 0.486, h-index: 10)
Advances in Experimental Biology     Full-text available via subscription   (Followers: 7)
Advances in Experimental Social Psychology     Full-text available via subscription   (Followers: 43, SJR: 5.465, h-index: 64)
Advances in Exploration Geophysics     Full-text available via subscription   (Followers: 3)
Advances in Fluorine Science     Full-text available via subscription   (Followers: 8)
Advances in Food and Nutrition Research     Full-text available via subscription   (Followers: 51, SJR: 0.674, h-index: 38)
Advances in Fuel Cells     Full-text available via subscription   (Followers: 16)
Advances in Genetics     Full-text available via subscription   (Followers: 15, SJR: 2.558, h-index: 54)
Advances in Genome Biology     Full-text available via subscription   (Followers: 11)
Advances in Geophysics     Full-text available via subscription   (Followers: 6, SJR: 2.325, h-index: 20)
Advances in Heat Transfer     Full-text available via subscription   (Followers: 22, SJR: 0.906, h-index: 24)
Advances in Heterocyclic Chemistry     Full-text available via subscription   (Followers: 9, SJR: 0.497, h-index: 31)
Advances in Human Factors/Ergonomics     Full-text available via subscription   (Followers: 26)
Advances in Imaging and Electron Physics     Full-text available via subscription   (Followers: 2, SJR: 0.396, h-index: 27)
Advances in Immunology     Full-text available via subscription   (Followers: 36, SJR: 4.152, h-index: 85)
Advances in Inorganic Chemistry     Full-text available via subscription   (Followers: 9, SJR: 1.132, h-index: 42)
Advances in Insect Physiology     Full-text available via subscription   (Followers: 3, SJR: 1.274, h-index: 27)
Advances in Integrative Medicine     Hybrid Journal   (Followers: 6)
Advances in Intl. Accounting     Full-text available via subscription   (Followers: 4)
Advances in Life Course Research     Hybrid Journal   (Followers: 8, SJR: 0.764, h-index: 15)
Advances in Lipobiology     Full-text available via subscription   (Followers: 2)
Advances in Magnetic and Optical Resonance     Full-text available via subscription   (Followers: 9)
Advances in Marine Biology     Full-text available via subscription   (Followers: 16, SJR: 1.645, h-index: 45)
Advances in Mathematics     Full-text available via subscription   (Followers: 10, SJR: 3.261, h-index: 65)
Advances in Medical Sciences     Hybrid Journal   (Followers: 6, SJR: 0.489, h-index: 25)
Advances in Medicinal Chemistry     Full-text available via subscription   (Followers: 5)
Advances in Microbial Physiology     Full-text available via subscription   (Followers: 4, SJR: 1.44, h-index: 51)
Advances in Molecular and Cell Biology     Full-text available via subscription   (Followers: 22)
Advances in Molecular and Cellular Endocrinology     Full-text available via subscription   (Followers: 10)
Advances in Molecular Toxicology     Full-text available via subscription   (Followers: 8, SJR: 0.324, h-index: 8)
Advances in Nanoporous Materials     Full-text available via subscription   (Followers: 4)
Advances in Oncobiology     Full-text available via subscription   (Followers: 3)
Advances in Organ Biology     Full-text available via subscription   (Followers: 2)
Advances in Organometallic Chemistry     Full-text available via subscription   (Followers: 15, SJR: 2.885, h-index: 45)
Advances in Parallel Computing     Full-text available via subscription   (Followers: 7, SJR: 0.148, h-index: 11)
Advances in Parasitology     Full-text available via subscription   (Followers: 7, SJR: 2.37, h-index: 73)
Advances in Pediatrics     Full-text available via subscription   (Followers: 24, SJR: 0.4, h-index: 28)
Advances in Pharmaceutical Sciences     Full-text available via subscription   (Followers: 13)
Advances in Pharmacology     Full-text available via subscription   (Followers: 15, SJR: 1.718, h-index: 58)
Advances in Physical Organic Chemistry     Full-text available via subscription   (Followers: 8, SJR: 0.384, h-index: 26)
Advances in Phytomedicine     Full-text available via subscription  
Advances in Planar Lipid Bilayers and Liposomes     Full-text available via subscription   (Followers: 3, SJR: 0.248, h-index: 11)
Advances in Plant Biochemistry and Molecular Biology     Full-text available via subscription   (Followers: 8)
Advances in Plant Pathology     Full-text available via subscription   (Followers: 5)
Advances in Porous Media     Full-text available via subscription   (Followers: 4)
Advances in Protein Chemistry     Full-text available via subscription   (Followers: 17)
Advances in Protein Chemistry and Structural Biology     Full-text available via subscription   (Followers: 20, SJR: 1.5, h-index: 62)
Advances in Psychology     Full-text available via subscription   (Followers: 62)
Advances in Quantum Chemistry     Full-text available via subscription   (Followers: 5, SJR: 0.478, h-index: 32)
Advances in Radiation Oncology     Open Access  
Advances in Small Animal Medicine and Surgery     Hybrid Journal   (Followers: 2, SJR: 0.1, h-index: 2)
Advances in Space Biology and Medicine     Full-text available via subscription   (Followers: 5)
Advances in Space Research     Full-text available via subscription   (Followers: 360, SJR: 0.606, h-index: 65)
Advances in Structural Biology     Full-text available via subscription   (Followers: 8)
Advances in Surgery     Full-text available via subscription   (Followers: 7, SJR: 0.823, h-index: 27)
Advances in the Study of Behavior     Full-text available via subscription   (Followers: 30, SJR: 1.321, h-index: 56)
Advances in Veterinary Medicine     Full-text available via subscription   (Followers: 16)
Advances in Veterinary Science and Comparative Medicine     Full-text available via subscription   (Followers: 13)
Advances in Virus Research     Full-text available via subscription   (Followers: 5, SJR: 1.878, h-index: 68)
Advances in Water Resources     Hybrid Journal   (Followers: 44, SJR: 2.408, h-index: 94)
Aeolian Research     Hybrid Journal   (Followers: 5, SJR: 0.973, h-index: 22)
Aerospace Science and Technology     Hybrid Journal   (Followers: 330, SJR: 0.816, h-index: 49)
AEU - Intl. J. of Electronics and Communications     Hybrid Journal   (Followers: 8, SJR: 0.318, h-index: 36)
African J. of Emergency Medicine     Open Access   (Followers: 5, SJR: 0.344, h-index: 6)
Ageing Research Reviews     Hybrid Journal   (Followers: 8, SJR: 3.289, h-index: 78)
Aggression and Violent Behavior     Hybrid Journal   (Followers: 419, SJR: 1.385, h-index: 72)
Agri Gene     Hybrid Journal  
Agricultural and Forest Meteorology     Hybrid Journal   (Followers: 16, SJR: 2.18, h-index: 116)
Agricultural Systems     Hybrid Journal   (Followers: 30, SJR: 1.275, h-index: 74)
Agricultural Water Management     Hybrid Journal   (Followers: 40, SJR: 1.546, h-index: 79)
Agriculture and Agricultural Science Procedia     Open Access  
Agriculture and Natural Resources     Open Access   (Followers: 2)
Agriculture, Ecosystems & Environment     Hybrid Journal   (Followers: 55, SJR: 1.879, h-index: 120)
Ain Shams Engineering J.     Open Access   (Followers: 5, SJR: 0.434, h-index: 14)
Air Medical J.     Hybrid Journal   (Followers: 5, SJR: 0.234, h-index: 18)
AKCE Intl. J. of Graphs and Combinatorics     Open Access   (SJR: 0.285, h-index: 3)
Alcohol     Hybrid Journal   (Followers: 11, SJR: 0.922, h-index: 66)
Alcoholism and Drug Addiction     Open Access   (Followers: 8)
Alergologia Polska : Polish J. of Allergology     Full-text available via subscription   (Followers: 1)
Alexandria Engineering J.     Open Access   (Followers: 1, SJR: 0.436, h-index: 12)
Alexandria J. of Medicine     Open Access   (Followers: 1)
Algal Research     Partially Free   (Followers: 8, SJR: 2.05, h-index: 20)
Alkaloids: Chemical and Biological Perspectives     Full-text available via subscription   (Followers: 3)
Allergologia et Immunopathologia     Full-text available via subscription   (Followers: 1, SJR: 0.46, h-index: 29)
Allergology Intl.     Open Access   (Followers: 4, SJR: 0.776, h-index: 35)
Alpha Omegan     Full-text available via subscription   (SJR: 0.121, h-index: 9)
ALTER - European J. of Disability Research / Revue Européenne de Recherche sur le Handicap     Full-text available via subscription   (Followers: 9, SJR: 0.158, h-index: 9)
Alzheimer's & Dementia     Hybrid Journal   (Followers: 46, SJR: 4.289, h-index: 64)
Alzheimer's & Dementia: Diagnosis, Assessment & Disease Monitoring     Open Access   (Followers: 4)
Alzheimer's & Dementia: Translational Research & Clinical Interventions     Open Access   (Followers: 4)
Ambulatory Pediatrics     Hybrid Journal   (Followers: 5)
American Heart J.     Hybrid Journal   (Followers: 49, SJR: 3.157, h-index: 153)
American J. of Cardiology     Hybrid Journal   (Followers: 48, SJR: 2.063, h-index: 186)
American J. of Emergency Medicine     Hybrid Journal   (Followers: 40, SJR: 0.574, h-index: 65)
American J. of Geriatric Pharmacotherapy     Full-text available via subscription   (Followers: 9, SJR: 1.091, h-index: 45)
American J. of Geriatric Psychiatry     Hybrid Journal   (Followers: 14, SJR: 1.653, h-index: 93)
American J. of Human Genetics     Hybrid Journal   (Followers: 32, SJR: 8.769, h-index: 256)
American J. of Infection Control     Hybrid Journal   (Followers: 26, SJR: 1.259, h-index: 81)
American J. of Kidney Diseases     Hybrid Journal   (Followers: 32, SJR: 2.313, h-index: 172)
American J. of Medicine     Hybrid Journal   (Followers: 46, SJR: 2.023, h-index: 189)
American J. of Medicine Supplements     Full-text available via subscription   (Followers: 3)
American J. of Obstetrics and Gynecology     Hybrid Journal   (Followers: 202, SJR: 2.255, h-index: 171)
American J. of Ophthalmology     Hybrid Journal   (Followers: 59, SJR: 2.803, h-index: 148)
American J. of Ophthalmology Case Reports     Open Access   (Followers: 6)
American J. of Orthodontics and Dentofacial Orthopedics     Full-text available via subscription   (Followers: 6, SJR: 1.249, h-index: 88)
American J. of Otolaryngology     Hybrid Journal   (Followers: 24, SJR: 0.59, h-index: 45)
American J. of Pathology     Hybrid Journal   (Followers: 27, SJR: 2.653, h-index: 228)
American J. of Preventive Medicine     Hybrid Journal   (Followers: 25, SJR: 2.764, h-index: 154)
American J. of Surgery     Hybrid Journal   (Followers: 34, SJR: 1.286, h-index: 125)
American J. of the Medical Sciences     Hybrid Journal   (Followers: 12, SJR: 0.653, h-index: 70)
Ampersand : An Intl. J. of General and Applied Linguistics     Open Access   (Followers: 6)
Anaerobe     Hybrid Journal   (Followers: 4, SJR: 1.066, h-index: 51)
Anaesthesia & Intensive Care Medicine     Full-text available via subscription   (Followers: 58, SJR: 0.124, h-index: 9)
Anaesthesia Critical Care & Pain Medicine     Full-text available via subscription   (Followers: 12)
Anales de Cirugia Vascular     Full-text available via subscription  
Anales de Pediatría     Full-text available via subscription   (Followers: 2, SJR: 0.209, h-index: 27)
Anales de Pediatría (English Edition)     Full-text available via subscription  
Anales de Pediatría Continuada     Full-text available via subscription   (SJR: 0.104, h-index: 3)
Analytic Methods in Accident Research     Hybrid Journal   (Followers: 4, SJR: 2.577, h-index: 7)
Analytica Chimica Acta     Hybrid Journal   (Followers: 36, SJR: 1.548, h-index: 152)
Analytical Biochemistry     Hybrid Journal   (Followers: 164, SJR: 0.725, h-index: 154)
Analytical Chemistry Research     Open Access   (Followers: 8, SJR: 0.18, h-index: 2)
Analytical Spectroscopy Library     Full-text available via subscription   (Followers: 12)
Anesthésie & Réanimation     Full-text available via subscription   (Followers: 1)
Anesthesiology Clinics     Full-text available via subscription   (Followers: 22, SJR: 0.421, h-index: 40)
Angiología     Full-text available via subscription   (SJR: 0.124, h-index: 9)
Angiologia e Cirurgia Vascular     Open Access  

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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  [3089 journals]
  • Local Sobolev constant estimate for integral Ricci curvature bounds
    • Authors: Xianzhe Dai; Guofang Wei; Zhenlei Zhang
      Pages: 1 - 33
      Abstract: Publication date: 5 February 2018
      Source:Advances in Mathematics, Volume 325
      Author(s): Xianzhe Dai, Guofang Wei, Zhenlei Zhang
      We obtain a local Sobolev constant estimate for integral Ricci curvature, which enables us to extend several important tools such as the maximal principle, the gradient estimate, the heat kernel estimate and the L 2 Hessian estimate to manifolds with integral Ricci lower bounds, without the non-collapsing conditions.

      PubDate: 2017-12-13T02:41:29Z
      DOI: 10.1016/j.aim.2017.11.024
      Issue No: Vol. 325 (2017)
       
  • Finite time blow up in the hyperbolic Boussinesq system
    • Authors: Alexander Kiselev; Changhui Tan
      Pages: 34 - 55
      Abstract: Publication date: 5 February 2018
      Source:Advances in Mathematics, Volume 325
      Author(s): Alexander Kiselev, Changhui Tan
      In recent work of Luo and Hou [10], a new scenario for finite time blow up in solutions of 3D Euler equation has been proposed. The scenario involves a ring of hyperbolic points of the flow located at the boundary of a cylinder. In this paper, we propose a two dimensional model that we call “hyperbolic Boussinesq system”. This model is designed to provide insight into the hyperbolic point blow up scenario. The model features an incompressible velocity vector field, a simplified Biot–Savart law, and a simplified term modeling buoyancy. We prove that finite time blow up happens for a natural class of initial data.

      PubDate: 2017-12-13T02:41:29Z
      DOI: 10.1016/j.aim.2017.11.019
      Issue No: Vol. 325 (2017)
       
  • Multiple elliptic gamma functions associated to cones
    • Authors: Jacob Winding
      Pages: 56 - 86
      Abstract: Publication date: 5 February 2018
      Source:Advances in Mathematics, Volume 325
      Author(s): Jacob Winding
      We define generalizations of the multiple elliptic gamma functions and the multiple sine functions, associated to good rational cones. We explain how good cones are related to collections of S L r ( Z ) -elements and prove that the generalized multiple sine and multiple elliptic gamma functions enjoy infinite product representations and modular properties determined by the cone. This generalizes the modular properties of the elliptic gamma function studied by Felder and Varchenko, and the results about the usual multiple sine and elliptic gamma functions found by Narukawa.

      PubDate: 2017-12-13T02:41:29Z
      DOI: 10.1016/j.aim.2017.11.022
      Issue No: Vol. 325 (2017)
       
  • Rigorous effective bounds on the Hausdorff dimension of continued fraction
           Cantor sets: A hundred decimal digits for the dimension of E2
    • Authors: O. Jenkinson; M. Pollicott
      Pages: 87 - 115
      Abstract: Publication date: 5 February 2018
      Source:Advances in Mathematics, Volume 325
      Author(s): O. Jenkinson, M. Pollicott
      We prove that the algorithm of [19] for approximating the Hausdorff dimension of dynamically defined Cantor sets, using periodic points of the underlying dynamical system, can be used to establish completely rigorous high accuracy bounds on the dimension. The effectiveness of these rigorous estimates is illustrated for Cantor sets consisting of continued fraction expansions with restricted digits. For example the Hausdorff dimension of the set E 2 (of those reals whose continued fraction expansion only contains digits 1 and 2) can be rigorously approximated, with an accuracy of over 100 decimal places, using points of period up to 25. The method for establishing rigorous dimension bounds involves the holomorphic extension of mappings associated to the allowed continued fraction digits, an appropriate disc which is contracted by these mappings, and an associated transfer operator acting on the Hilbert Hardy space of analytic functions on this disc. We introduce methods for rigorously bounding the approximation numbers for the transfer operators, showing that this leads to effective estimates on the Taylor coefficients of the associated determinant, and hence to explicit bounds on the Hausdorff dimension.

      PubDate: 2017-12-13T02:41:29Z
      DOI: 10.1016/j.aim.2017.11.028
      Issue No: Vol. 325 (2017)
       
  • Gap-labelling conjecture with nonzero magnetic field
    • Authors: Moulay Tahar Benameur; Varghese Mathai
      Pages: 116 - 164
      Abstract: Publication date: 5 February 2018
      Source:Advances in Mathematics, Volume 325
      Author(s): Moulay Tahar Benameur, Varghese Mathai
      Given a constant magnetic field on Euclidean space R p determined by a skew-symmetric ( p × p ) matrix Θ, and a Z p -invariant probability measure μ on the disorder set Σ which is by hypothesis a Cantor set, where the action is assumed to be minimal, the corresponding Integrated Density of States of any self-adjoint operator affiliated to the twisted crossed product algebra C ( Σ ) ⋊ σ Z p , where σ is the multiplier on Z p associated to Θ, takes on values on spectral gaps in the magnetic gap-labelling group. The magnetic frequency group is defined as an explicit countable subgroup of R involving Pfaffians of Θ and its sub-matrices. We conjecture that the magnetic gap labelling group is a subgroup of the magnetic frequency group. We give evidence for the validity of our conjecture in 2D, 3D, the Jordan block diagonal case and the periodic case in all dimensions.

      PubDate: 2017-12-13T02:41:29Z
      DOI: 10.1016/j.aim.2017.11.030
      Issue No: Vol. 325 (2017)
       
  • The limit of the Hermitian–Yang–Mills flow on reflexive
           sheaves
    • Authors: Jiayu Li; Chuanjing Zhang; Xi Zhang
      Pages: 165 - 214
      Abstract: Publication date: 5 February 2018
      Source:Advances in Mathematics, Volume 325
      Author(s): Jiayu Li, Chuanjing Zhang, Xi Zhang
      In this paper, we study the asymptotic behavior of the Hermitian–Yang–Mills flow on a reflexive sheaf. We prove that the limiting reflexive sheaf is isomorphic to the double dual of the graded sheaf associated to the Harder–Narasimhan–Seshadri filtration, this answers a question by Bando and Siu.

      PubDate: 2017-12-13T02:41:29Z
      DOI: 10.1016/j.aim.2017.11.029
      Issue No: Vol. 325 (2017)
       
  • A Lindelöf group with non-Lindelöf square
    • Authors: Yinhe Peng; Liuzhen Wu
      Pages: 215 - 242
      Abstract: Publication date: 5 February 2018
      Source:Advances in Mathematics, Volume 325
      Author(s): Yinhe Peng, Liuzhen Wu
      We show that the Lindelöf property of a topological group is not inherited by its square, thus solving an old problem from [2]. Our construction introduces a new method to this area of mathematics and is of independent interest as it may have some further applications. Our method builds on ideas of [11] and techniques from [20] and give us also an optimal result about the partition properties on ω 1 .

      PubDate: 2017-12-13T02:41:29Z
      DOI: 10.1016/j.aim.2017.11.021
      Issue No: Vol. 325 (2017)
       
  • Building blocks of polarized endomorphisms of normal projective varieties
    • Authors: Sheng Meng; De-Qi Zhang
      Pages: 243 - 273
      Abstract: Publication date: 5 February 2018
      Source:Advances in Mathematics, Volume 325
      Author(s): Sheng Meng, De-Qi Zhang
      An endomorphism f of a projective variety X is polarized (resp. quasi-polarized) if f ⁎ H ∼ q H (linear equivalence) for some ample (resp. nef and big) Cartier divisor H and integer q > 1 . First, we use cone analysis to show that a quasi-polarized endomorphism is always polarized, and the polarized property descends via any equivariant dominant rational map. Next, we show that a suitable maximal rationally connected fibration (MRC) can be made f-equivariant using a construction of N. Nakayama, that f descends to a polarized endomorphism of the base Y of this MRC and that this Y is a Q-abelian variety (quasi-étale quotient of an abelian variety). Finally, we show that we can run the minimal model program (MMP) f-equivariantly for mildly singular X and reach either a Q-abelian variety or a Fano variety of Picard number one. As a consequence, the building blocks of polarized endomorphisms are those of Q-abelian varieties and those of Fano varieties of Picard number one. Along the way, we show that f always descends to a polarized endomorphism of the Albanese variety Alb ( X ) of X, and that the pullback of a power of f acts as a scalar multiplication on the Néron–Severi group of X (modulo torsion) when X is smooth and rationally connected. Partial answers about X being of Calabi–Yau type, or Fano type are also given with an extra primitivity assumption on f which seems necessary by an example.

      PubDate: 2017-12-13T02:41:29Z
      DOI: 10.1016/j.aim.2017.11.026
      Issue No: Vol. 325 (2017)
       
  • A vanishing theorem for Dirac cohomology of standard modules
    • Authors: Kei Yuen Chan
      Pages: 274 - 311
      Abstract: Publication date: 5 February 2018
      Source:Advances in Mathematics, Volume 325
      Author(s): Kei Yuen Chan
      This paper studies the Dirac cohomology of standard modules in the setting of graded Hecke algebras with geometric parameters. We prove that the Dirac cohomology of a standard module vanishes if and only if the module is not twisted-elliptic tempered. The proof makes use of two deep results. One is some structural information from the generalized Springer correspondence obtained by S. Kato and Lusztig. Another one is a computation of the Dirac cohomology of tempered modules by Barbasch–Ciubotaru–Trapa and Ciubotaru. We apply our result to compute the Dirac cohomology of ladder representations for type A n . For each of such representations with non-zero Dirac cohomology, we associate to a canonical Weyl group representation. We use the Dirac cohomology to conclude that such representations appear with multiplicity one.

      PubDate: 2017-12-13T02:41:29Z
      DOI: 10.1016/j.aim.2017.11.023
      Issue No: Vol. 325 (2017)
       
  • Quantales and Fell bundles
    • Authors: Pedro Resende
      Pages: 312 - 374
      Abstract: Publication date: 5 February 2018
      Source:Advances in Mathematics, Volume 325
      Author(s): Pedro Resende
      We study Fell bundles on groupoids from the viewpoint of quantale theory. Given any saturated upper semicontinuous Fell bundle π : E → G on an étale groupoid G with G 0 locally compact Hausdorff, equipped with a suitable completion C*-algebra A of its convolution algebra, we obtain a map of involutive quantales p : Max A → Ω ( G ) , where Max A consists of the closed linear subspaces of A and Ω ( G ) is the topology of G. We study various properties of p which mimick, to various degrees, those of open maps of topological spaces. These are closely related to properties of G, π, and A, such as G being Hausdorff, principal, or topological principal, or π being a line bundle. Under suitable conditions, which include G being Hausdorff, but without requiring saturation of the Fell bundle, A is an algebra of sections of the bundle if and only if it is the reduced C*-algebra C r ⁎ ( G , E ) . We also prove that Max A is stably Gelfand. This implies the existence of a pseudogroup I B and of an étale groupoid B associated canonically to any sub-C*-algebra B ⊂ A . We study a correspondence between Fell bundles and sub-C*-algebras based on these constructions, and compare it to the construction of Weyl groupoids from Cartan subalgebras.

      PubDate: 2017-12-13T02:41:29Z
      DOI: 10.1016/j.aim.2017.12.001
      Issue No: Vol. 325 (2017)
       
  • Cyclotomic root systems and bad primes
    • Authors: Michel Broué; Ruth Corran; Jean Michel
      Pages: 375 - 458
      Abstract: Publication date: 5 February 2018
      Source:Advances in Mathematics, Volume 325
      Author(s): Michel Broué, Ruth Corran, Jean Michel
      We generalize the definition and properties of root systems to complex reflection groups — roots become rank one projective modules over the ring of integers of a number field k. In the irreducible case, we provide a classification of root systems over the field of definition k of the reflection representation. In the case of spetsial reflection groups, we generalize as well the definition and properties of bad primes.

      PubDate: 2017-12-13T02:41:29Z
      DOI: 10.1016/j.aim.2017.11.020
      Issue No: Vol. 325 (2017)
       
  • On polytopes with congruent projections or sections
    • Authors: Sergii Myroshnychenko; Dmitry Ryabogin
      Pages: 482 - 504
      Abstract: Publication date: 5 February 2018
      Source:Advances in Mathematics, Volume 325
      Author(s): Sergii Myroshnychenko, Dmitry Ryabogin
      Let 2 ≤ k ≤ d − 1 and let P and Q be two convex polytopes in E d . Assume that their projections, P H , Q H , onto every k-dimensional subspace H, are congruent. In this paper we show that P and Q or P and −Q are translates of each other. We also prove an analogous result for sections by showing that P = Q or P = − Q , provided the polytopes contain the origin in their interior and their sections, P ∩ H , Q ∩ H , by every k-dimensional subspace H, are congruent.

      PubDate: 2017-12-13T02:41:29Z
      DOI: 10.1016/j.aim.2017.12.003
      Issue No: Vol. 325 (2017)
       
  • On a modularity conjecture of Andrews, Dixit, Schultz, and Yee for a
           variation of Ramanujan's ω(q)
    • Authors: Kathrin Bringmann; Chris Jennings-Shaffer; Karl Mahlburg
      Pages: 505 - 532
      Abstract: Publication date: 5 February 2018
      Source:Advances in Mathematics, Volume 325
      Author(s): Kathrin Bringmann, Chris Jennings-Shaffer, Karl Mahlburg
      We analyze the mock modular behavior of P ¯ ω ( q ) , a partition function introduced by Andrews, Dixit, Schultz, and Yee. This function arose in a study of smallest parts functions related to classical third order mock theta functions, one of which is ω ( q ) . We find that the modular completion of P ¯ ω ( q ) is not simply a harmonic Maass form, but is instead the derivative of a linear combination of products of various harmonic Maass forms and theta functions. We precisely describe its behavior under modular transformations and find that the image under the Maass lowering operator lies in a relatively simpler space.

      PubDate: 2017-12-13T02:41:29Z
      DOI: 10.1016/j.aim.2017.12.002
      Issue No: Vol. 325 (2017)
       
  • Floer homology and fractional Dehn twists
    • Authors: Matthew Hedden; Thomas E. Mark
      Pages: 1 - 39
      Abstract: Publication date: 14 January 2018
      Source:Advances in Mathematics, Volume 324
      Author(s): Matthew Hedden, Thomas E. Mark
      We establish a relationship between Heegaard Floer homology and the fractional Dehn twist coefficient of surface automorphisms. Specifically, we show that the rank of the Heegaard Floer homology of a 3-manifold bounds the absolute value of the fractional Dehn twist coefficient of the monodromy of any of its open book decompositions with connected binding. We prove this by showing that the rank of Floer homology gives bounds for the number of boundary parallel right or left Dehn twists necessary to add to a surface automorphism to guarantee that the associated contact manifold is tight or overtwisted, respectively. By examining branched double covers, we also show that the rank of the Khovanov homology of a link bounds the fractional Dehn twist coefficient of its odd-stranded braid representatives.

      PubDate: 2017-11-18T16:22:33Z
      DOI: 10.1016/j.aim.2017.11.008
      Issue No: Vol. 324 (2017)
       
  • Norms of random matrices: Local and global problems
    • Authors: Elizaveta Rebrova; Roman Vershynin
      Pages: 40 - 83
      Abstract: Publication date: 14 January 2018
      Source:Advances in Mathematics, Volume 324
      Author(s): Elizaveta Rebrova, Roman Vershynin
      Can the behavior of a random matrix be improved by modifying a small fraction of its entries' Consider a random matrix A with i.i.d. entries. We show that the operator norm of A can be reduced to the optimal order O ( n ) by zeroing out a small submatrix of A if and only if the entries have zero mean and finite variance. Moreover, we obtain an almost optimal dependence between the size of the removed submatrix and the resulting operator norm. Our approach utilizes the cut norm and Grothendieck–Pietsch factorization for matrices, and it combines the methods developed recently by C. Le and R. Vershynin and by E. Rebrova and K. Tikhomirov.

      PubDate: 2017-12-13T02:41:29Z
      DOI: 10.1016/j.aim.2017.11.001
      Issue No: Vol. 324 (2017)
       
  • Ramsey properties of nonlinear Diophantine equations
    • Authors: Mauro Di Nasso; Lorenzo Luperi Baglini
      Pages: 84 - 117
      Abstract: Publication date: 14 January 2018
      Source:Advances in Mathematics, Volume 324
      Author(s): Mauro Di Nasso, Lorenzo Luperi Baglini
      We present general sufficient and necessary conditions for the partition regularity of Diophantine equations, which extend the classic Rado's Theorem by covering large classes of nonlinear equations. The goal is to contribute to an overall theory of Ramsey properties of (nonlinear) Diophantine equations that encompasses the known results in this area under a unified framework. Sufficient conditions are obtained by exploiting algebraic properties in the space of ultrafilters β N , grounding on combinatorial properties of positive density sets and IP sets. Necessary conditions are proved by a new technique in nonstandard analysis, based on the use of the relation of u-equivalence for the hypernatural numbers N ⁎ .

      PubDate: 2017-12-13T02:41:29Z
      DOI: 10.1016/j.aim.2017.11.003
      Issue No: Vol. 324 (2017)
       
  • Badly approximable points on planar curves and winning
    • Authors: Jinpeng An; Victor Beresnevich; Sanju Velani
      Pages: 148 - 202
      Abstract: Publication date: 14 January 2018
      Source:Advances in Mathematics, Volume 324
      Author(s): Jinpeng An, Victor Beresnevich, Sanju Velani
      For any i , j > 0 with i + j = 1 , let Bad ( i , j ) denote the set of points ( x , y ) ∈ R 2 such that max ⁡ { ‖ q x ‖ 1 / i , ‖ q y ‖ 1 / j } > c / q for some positive constant c = c ( x , y ) and all q ∈ N . We show that Bad ( i , j ) ∩ C is winning in the sense of Schmidt games for a large class of planar curves C , namely, everywhere non-degenerate planar curves and straight lines satisfying a natural Diophantine condition. This strengthens recent results solving a problem of Davenport from the sixties. In short, within the context of Davenport's problem, the winning statement is best possible. Furthermore, we obtain the inhomogeneous generalisations of the winning results for planar curves and lines and also show that the inhomogeneous form of Bad ( i , j ) is winning for two dimensional Schmidt games.

      PubDate: 2017-12-13T02:41:29Z
      DOI: 10.1016/j.aim.2017.11.009
      Issue No: Vol. 324 (2017)
       
  • Cells with many facets in a Poisson hyperplane tessellation
    • Authors: Gilles Bonnet; Pierre Calka; Matthias Reitzner
      Pages: 203 - 240
      Abstract: Publication date: 14 January 2018
      Source:Advances in Mathematics, Volume 324
      Author(s): Gilles Bonnet, Pierre Calka, Matthias Reitzner
      Let Z be the typical cell of a stationary Poisson hyperplane tessellation in R d . The distribution of the number of facets f ( Z ) of the typical cell is investigated. It is shown, that under a well-spread condition on the directional distribution, the quantity n 2 d − 1 P ( f ( Z ) = n ) n is bounded from above and from below. When f ( Z ) is large, the isoperimetric ratio of Z is bounded away from zero with high probability. These results rely on one hand on the Complementary Theorem which provides a precise decomposition of the distribution of Z and on the other hand on several geometric estimates related to the approximation of polytopes by polytopes with fewer facets. From the asymptotics of the distribution of f ( Z ) , tail estimates for the so-called Φ content of Z are derived as well as results on the conditional distribution of Z when its Φ content is large.

      PubDate: 2017-12-13T02:41:29Z
      DOI: 10.1016/j.aim.2017.11.016
      Issue No: Vol. 324 (2017)
       
  • Tilting modules of affine quasi-hereditary algebras
    • Authors: Ryo Fujita
      Pages: 241 - 266
      Abstract: Publication date: 14 January 2018
      Source:Advances in Mathematics, Volume 324
      Author(s): Ryo Fujita
      We discuss tilting modules of affine quasi-hereditary algebras. We present an existence theorem of indecomposable tilting modules when the algebra has a large center and use it to deduce a criterion for an exact functor between two affine highest weight categories to give an equivalence. As an application, we prove that the Arakawa–Suzuki functor (Arakawa–Suzuki, 1998) gives a fully faithful embedding of a block of the deformed BGG category of gl m into the module category of a suitable completion of degenerate affine Hecke algebra of G L n .

      PubDate: 2017-12-13T02:41:29Z
      DOI: 10.1016/j.aim.2017.11.013
      Issue No: Vol. 324 (2017)
       
  • ⁎-isomorphism of Leavitt path algebras over Z
    • Authors: Toke Meier Carlsen
      Pages: 326 - 335
      Abstract: Publication date: 14 January 2018
      Source:Advances in Mathematics, Volume 324
      Author(s): Toke Meier Carlsen
      We characterise when the Leavitt path algebras over Z of two arbitrary countable directed graphs are ⁎-isomorphic by showing that two Leavitt path algebras over Z are ⁎-isomorphic if and only if the corresponding graph groupoids are isomorphic (if and only if there is a diagonal preserving isomorphism between the corresponding graph C ⁎ -algebras). We also prove that any ⁎-homomorphism between two Leavitt path algebras over Z maps the diagonal to the diagonal. Both results hold for more general subrings of C than just Z .

      PubDate: 2017-12-13T02:41:29Z
      DOI: 10.1016/j.aim.2017.11.018
      Issue No: Vol. 324 (2017)
       
  • On the gonality and the slope of a fibered surface
    • Authors: Xin Lu; Kang Zuo
      Pages: 336 - 354
      Abstract: Publication date: 14 January 2018
      Source:Advances in Mathematics, Volume 324
      Author(s): Xin Lu, Kang Zuo
      Let f : X → B be a locally non-trivial relatively minimal fibration of curves of genus g ≥ 2 . We obtain a lower bound of the slope λ ( f ) increasing with the gonality of the general fiber of f. In particular, we show that λ ( f ) ≥ 4 provided that f is non-hyperelliptic and g ≥ 16 .

      PubDate: 2017-12-13T02:41:29Z
      DOI: 10.1016/j.aim.2017.11.014
      Issue No: Vol. 324 (2017)
       
  • Exceptional collections on Dolgachev surfaces associated with
           degenerations
    • Authors: Yonghwa Cho; Yongnam Lee
      Pages: 394 - 436
      Abstract: Publication date: 14 January 2018
      Source:Advances in Mathematics, Volume 324
      Author(s): Yonghwa Cho, Yongnam Lee
      Dolgachev surfaces are simply connected minimal elliptic surfaces with p g = q = 0 and of Kodaira dimension 1. These surfaces are constructed by logarithmic transformations of rational elliptic surfaces. In this paper, we explain the construction of Dolgachev surfaces via Q -Gorenstein smoothing of singular rational surfaces with two cyclic quotient singularities. This construction is based on the paper [25]. Also, some exceptional bundles on Dolgachev surfaces associated with Q -Gorenstein smoothing have been constructed based on the idea of Hacking [12]. In the case if Dolgachev surfaces were of type ( 2 , 3 ) , we describe the Picard group and present an exceptional collection of maximal length. Finally, we prove that the presented exceptional collection is not full, hence there exists a nontrivial phantom category in the derived category.

      PubDate: 2017-12-13T02:41:29Z
      DOI: 10.1016/j.aim.2017.11.012
      Issue No: Vol. 324 (2017)
       
  • Finite orbits in multivalued maps and Bernoulli convolutions
    • Authors: Christoph Bandt
      Pages: 437 - 485
      Abstract: Publication date: 14 January 2018
      Source:Advances in Mathematics, Volume 324
      Author(s): Christoph Bandt
      Bernoulli convolutions are certain measures on the unit interval depending on a parameter β between 1 and 2. In spite of their simple definition, they are not yet well understood. We study their two-dimensional density which exists by a theorem of Solomyak. To each Bernoulli convolution, there is an interval D called the overlap region, and a map which assigns two values to each point of D and one value to all other points of [ 0 , 1 ] . There are two types of finite orbits of these multivalued maps which correspond to zeros and potential singularities of the density, respectively. Orbits which do not meet D belong to an ordinary map called β-transformation and exist for all β > 1.6182 . They were studied by Erdös, Jóo, Komornik, Sidorov, de Vries and others as points with unique addresses, and by Jordan, Shmerkin and Solomyak as points with maximal local dimension. In the two-dimensional view, these orbits form address curves related to the Milnor–Thurston itineraries in one-dimensional dynamics. The curves depend smoothly on the parameter and represent quantiles of all corresponding Bernoulli convolutions. Finite orbits which intersect D have a network-like structure and can exist only at Perron parameters β. Their points are intersections of extended address curves, and can have finite or countable number of addresses, as found by Sidorov. For an uncountable number of parameters, the central point 1 2 has only two addresses. The intersection of periodic address curves can lead to singularities of the measures. We give examples which are not Pisot or Salem parameters.

      PubDate: 2017-12-13T02:41:29Z
      DOI: 10.1016/j.aim.2017.11.011
      Issue No: Vol. 324 (2017)
       
  • Modular characteristic classes for representations over finite fields
    • Authors: Anssi Lahtinen; David Sprehn
      Pages: 1 - 37
      Abstract: Publication date: 7 January 2018
      Source:Advances in Mathematics, Volume 323
      Author(s): Anssi Lahtinen, David Sprehn
      The cohomology of the degree-n general linear group over a finite field of characteristic p, with coefficients also in characteristic p, remains poorly understood. For example, the lowest degree previously known to contain nontrivial elements is exponential in n. In this paper, we introduce a new system of characteristic classes for representations over finite fields, and use it to construct a wealth of explicit nontrivial elements in these cohomology groups. In particular we obtain nontrivial elements in degrees linear in n. We also construct nontrivial elements in the mod p homology and cohomology of the automorphism groups of free groups, and the general linear groups over the integers. These elements reside in the unstable range where the homology and cohomology remain mysterious.

      PubDate: 2017-11-12T02:49:38Z
      DOI: 10.1016/j.aim.2017.10.029
      Issue No: Vol. 323 (2017)
       
  • Connecting toric manifolds by conical Kähler–Einstein metrics
    • Authors: Ved Datar; Bin Guo; Jian Song; Xiaowei Wang
      Pages: 38 - 83
      Abstract: Publication date: 7 January 2018
      Source:Advances in Mathematics, Volume 323
      Author(s): Ved Datar, Bin Guo, Jian Song, Xiaowei Wang
      We give criterions for the existence of toric conical Kähler–Einstein and Kähler–Ricci soliton metrics on any toric manifold in relation to the greatest Ricci and Bakry–Emery–Ricci lower bound. We also show that any two toric manifolds with the same dimension can be joined by a continuous path of toric manifolds with conical Kähler–Einstein metrics in the Gromov–Hausdorff topology.

      PubDate: 2017-11-12T02:49:38Z
      DOI: 10.1016/j.aim.2017.10.035
      Issue No: Vol. 323 (2017)
       
  • Filtrations, 1-parameter subgroups, and rational injectivity
    • Authors: Eric M. Friedlander
      Pages: 84 - 113
      Abstract: Publication date: 7 January 2018
      Source:Advances in Mathematics, Volume 323
      Author(s): Eric M. Friedlander
      We investigate rational G-modules M for a linear algebraic group G over an algebraically closed field k of characteristic p > 0 using filtrations by sub-coalgebras of the coordinate algebra k [ G ] of G. Even in the special case of the additive group G a , interesting structures and examples are revealed. The “degree” filtration we consider for unipotent algebraic groups leads to a “filtration by exponential degree” applicable to rational G modules for any linear algebraic group G of exponential type; this filtration is defined in terms of 1-parameter subgroups and is related to support varieties introduced recently by the author for such rational G-modules. We formulate in terms of this filtration a necessary and sufficient condition for rational injectivity for rational G-modules. Our investigation leads to the consideration of two new classes of rational G-modules: those that are “mock injective” and those that are “mock trivial”.

      PubDate: 2017-11-12T02:49:38Z
      DOI: 10.1016/j.aim.2017.10.023
      Issue No: Vol. 323 (2017)
       
  • Necessary subspace concentration conditions for the even dual Minkowski
           problem
    • Authors: Martin Henk; Hannes Pollehn
      Pages: 114 - 141
      Abstract: Publication date: 7 January 2018
      Source:Advances in Mathematics, Volume 323
      Author(s): Martin Henk, Hannes Pollehn
      We prove tight subspace concentration inequalities for the dual curvature measures C ˜ q ( K , ⋅ ) of an n-dimensional origin-symmetric convex body for q ≥ n + 1 . This supplements former results obtained in the range q ≤ n .

      PubDate: 2017-11-12T02:49:38Z
      DOI: 10.1016/j.aim.2017.10.037
      Issue No: Vol. 323 (2017)
       
  • Algebraic geometry over hyperrings
    • Authors: Jaiung Jun
      Pages: 142 - 192
      Abstract: Publication date: 7 January 2018
      Source:Advances in Mathematics, Volume 323
      Author(s): Jaiung Jun
      We develop basic notions and methods of algebraic geometry over the algebraic objects called hyperrings. Roughly speaking, hyperrings generalize rings in such a way that an addition is ‘multi-valued’. This paper largely consists of two parts; algebraic aspects and geometric aspects of hyperrings. We first investigate several technical algebraic properties of a hyperring. In the second part, we begin by giving another interpretation of a tropical variety as an algebraic set over the hyperfield which canonically arises from a totally ordered semifield. Then we define a notion of an integral hyperring scheme ( X , O X ) and prove that Γ ( X , O X ) ≃ R for any integral affine hyperring scheme X = Spec R .

      PubDate: 2017-11-12T02:49:38Z
      DOI: 10.1016/j.aim.2017.10.043
      Issue No: Vol. 323 (2017)
       
  • Periodic distributions and periodic elements in modulation spaces
    • Authors: Joachim Toft; Elmira Nabizadeh
      Pages: 193 - 225
      Abstract: Publication date: 7 January 2018
      Source:Advances in Mathematics, Volume 323
      Author(s): Joachim Toft, Elmira Nabizadeh
      We characterize periodic elements in Gevrey classes, Gelfand–Shilov distribution spaces and modulation spaces, in terms of estimates of involved Fourier coefficients, and by estimates of their short-time Fourier transforms. If q ∈ [ 1 , ∞ ) , ω is a suitable weight and ( E 0 E ) ′ is the set of all E-periodic elements, then we prove that the dual of M ( ω ) ∞ , q ∩ ( E 0 E ) ′ equals M ( 1 / ω ) ∞ , q ′ ∩ ( E 0 E ) ′ by suitable extensions of Bessel's identity.

      PubDate: 2017-11-12T02:49:38Z
      DOI: 10.1016/j.aim.2017.10.040
      Issue No: Vol. 323 (2017)
       
  • Canonical tilting relative generators
    • Authors: Agnieszka Bodzenta; Alexey Bondal
      Pages: 226 - 278
      Abstract: Publication date: 7 January 2018
      Source:Advances in Mathematics, Volume 323
      Author(s): Agnieszka Bodzenta, Alexey Bondal
      Given a relatively projective birational morphism f : X → Y of smooth algebraic spaces with dimension of fibers bounded by 1, we construct tilting relative (over Y) generators T X , f and S X , f in D b ( X ) . We develop a piece of general theory of strict admissible lattice filtrations in triangulated categories and show that D b ( X ) has such a filtration L where the lattice is the set of all birational decompositions f : X → g Z → h Y with smooth Z. The t-structures related to T X , f and S X , f are proved to be glued via filtrations left and right dual to L . We realise all such Z as the fine moduli spaces of simple quotients of O X in the heart of the t-structure for which S X , g is a relative projective generator over Y. This implements the program of interpreting relevant smooth contractions of X in terms of a suitable system of t-structures on D b ( X ) .

      PubDate: 2017-11-12T02:49:38Z
      DOI: 10.1016/j.aim.2017.10.016
      Issue No: Vol. 323 (2017)
       
  • Green tensor of the Stokes system and asymptotics of stationary
           Navier–Stokes flows in the half space
    • Authors: Kyungkeun Kang; Hideyuki Miura; Tai-Peng Tsai
      Pages: 326 - 366
      Abstract: Publication date: 7 January 2018
      Source:Advances in Mathematics, Volume 323
      Author(s): Kyungkeun Kang, Hideyuki Miura, Tai-Peng Tsai
      We derive refined estimates of the Green tensor of the stationary Stokes system in the half space. We then investigate the spatial asymptotics of stationary solutions of the incompressible Navier–Stokes equations in the half space. We also discuss the asymptotics of fast decaying flows in the whole space and exterior domains. In the Appendix we consider axisymmetric self-similar solutions.

      PubDate: 2017-11-12T02:49:38Z
      DOI: 10.1016/j.aim.2017.10.031
      Issue No: Vol. 323 (2017)
       
  • Ramanujan coverings of graphs
    • Authors: Chris Hall; Doron Puder; William F. Sawin
      Pages: 367 - 410
      Abstract: Publication date: 7 January 2018
      Source:Advances in Mathematics, Volume 323
      Author(s): Chris Hall, Doron Puder, William F. Sawin
      Let G be a finite connected graph, and let ρ be the spectral radius of its universal cover. For example, if G is k-regular then ρ = 2 k − 1 . We show that for every r, there is an r-covering (a.k.a. an r-lift) of G where all the new eigenvalues are bounded from above by ρ. It follows that a bipartite Ramanujan graph has a Ramanujan r-covering for every r. This generalizes the r = 2 case due to Marcus, Spielman and Srivastava [26]. Every r-covering of G corresponds to a labeling of the edges of G by elements of the symmetric group S r . We generalize this notion to labeling the edges by elements of various groups and present a broader scenario where Ramanujan coverings are guaranteed to exist. In particular, this shows the existence of richer families of bipartite Ramanujan graphs than was known before. Inspired by [26], a crucial component of our proof is the existence of interlacing families of polynomials for complex reflection groups. The core argument of this component is taken from [27]. Another important ingredient of our proof is a new generalization of the matching polynomial of a graph. We define the r-th matching polynomial of G to be the average matching polynomial of all r-coverings of G. We show this polynomial shares many properties with the original matching polynomial. For example, it is real rooted with all its roots inside [ − ρ , ρ ] .

      PubDate: 2017-11-12T02:49:38Z
      DOI: 10.1016/j.aim.2017.10.042
      Issue No: Vol. 323 (2017)
       
  • Drinfeld center of enriched monoidal categories
    • Authors: Liang Kong; Hao Zheng
      Pages: 411 - 426
      Abstract: Publication date: 7 January 2018
      Source:Advances in Mathematics, Volume 323
      Author(s): Liang Kong, Hao Zheng
      We define the Drinfeld center of a monoidal category enriched over a braided monoidal category, and show that every modular tensor category can be realized in a canonical way as the Drinfeld center of a self-enriched monoidal category. We also give a generalization of this result for important applications in physics.

      PubDate: 2017-11-12T02:49:38Z
      DOI: 10.1016/j.aim.2017.10.038
      Issue No: Vol. 323 (2017)
       
  • Spectral analysis of random-to-random Markov chains
    • Authors: A.B. Dieker; F.V. Saliola
      Pages: 427 - 485
      Abstract: Publication date: 7 January 2018
      Source:Advances in Mathematics, Volume 323
      Author(s): A.B. Dieker, F.V. Saliola
      We compute the eigenvalues and eigenspaces of random-to-random Markov chains. We use a family of maps which reveal a remarkable recursive structure of the eigenspaces, yielding an explicit and effective construction of all eigenbases starting from bases of the kernels.

      PubDate: 2017-11-12T02:49:38Z
      DOI: 10.1016/j.aim.2017.10.034
      Issue No: Vol. 323 (2017)
       
  • Integral solutions to boundary quantum Knizhnik–Zamolodchikov
           equations
    • Authors: Nicolai Reshetikhin; Jasper Stokman; Bart Vlaar
      Pages: 486 - 528
      Abstract: Publication date: 7 January 2018
      Source:Advances in Mathematics, Volume 323
      Author(s): Nicolai Reshetikhin, Jasper Stokman, Bart Vlaar
      We construct integral representations of solutions to the boundary quantum Knizhnik–Zamolodchikov equations. These are difference equations taking values in tensor products of Verma modules of quantum affine sl 2 , with the K-operators acting diagonally. The integrands in question are products of scalar-valued elliptic weight functions with vector-valued trigonometric weight functions (boundary Bethe vectors). These integrals give rise to a basis of solutions of the boundary qKZ equations over the field of quasi-constant meromorphic functions in weight subspaces of the tensor product.

      PubDate: 2017-11-12T02:49:38Z
      DOI: 10.1016/j.aim.2017.10.041
      Issue No: Vol. 323 (2017)
       
  • Late-time asymptotics for the wave equation on spherically symmetric,
           stationary spacetimes
    • Authors: Y. Angelopoulos; S. Aretakis; D. Gajic
      Pages: 529 - 621
      Abstract: Publication date: 7 January 2018
      Source:Advances in Mathematics, Volume 323
      Author(s): Y. Angelopoulos, S. Aretakis, D. Gajic
      We derive precise late-time asymptotics for solutions to the wave equation on spherically symmetric, stationary and asymptotically flat spacetimes including as special cases the Schwarzschild and Reissner–Nordström families of black holes. We also obtain late-time asymptotics for the time derivatives of all orders and for the radiation field along null infinity. We show that the leading-order term in the asymptotic expansion is related to the existence of the conserved Newman–Penrose quantities on null infinity. As a corollary we obtain a characterization of all solutions which satisfy Price's polynomial law τ − 3 as a lower bound. Our analysis relies on physical space techniques and uses the vector field approach for almost-sharp decay estimates introduced in our companion paper. In the black hole case, our estimates hold in the domain of outer communications up to and including the event horizon. Our work is motivated by the stability problem for black hole exteriors and strong cosmic censorship for black hole interiors.

      PubDate: 2017-11-12T02:49:38Z
      DOI: 10.1016/j.aim.2017.10.027
      Issue No: Vol. 323 (2017)
       
  • Hurwitz correspondences on compactifications of M0,N
    • Authors: Rohini Ramadas
      Pages: 622 - 667
      Abstract: Publication date: 7 January 2018
      Source:Advances in Mathematics, Volume 323
      Author(s): Rohini Ramadas
      Hurwitz correspondences are certain multi-valued self-maps of the moduli space M 0 , N . They arise in the study of Thurston's topological characterization of rational functions. We compare the dynamics of Hurwitz correspondence H on two different compactifications of M 0 , N : the Deligne-Mumford compactification M ‾ 0 , N , as well as a Hassett space of weighted stable curves. We use this comparison to show that the k-th dynamical degree of H is the absolute value of the dominant eigenvalue of the pushforward induced by H on a natural quotient of H 2 k ( M ‾ 0 , N ) .

      PubDate: 2017-11-12T02:49:38Z
      DOI: 10.1016/j.aim.2017.10.044
      Issue No: Vol. 323 (2017)
       
  • An embedding theorem for tangent categories
    • Authors: Richard Garner
      Pages: 668 - 687
      Abstract: Publication date: 7 January 2018
      Source:Advances in Mathematics, Volume 323
      Author(s): Richard Garner
      Tangent categories were introduced by Rosický as a categorical setting for differential structures in algebra and geometry; in recent work of Cockett, Crutwell and others, they have also been applied to the study of differential structure in computer science. In this paper, we prove that every tangent category admits an embedding into a representable tangent category—one whose tangent structure is given by exponentiating by a free-standing tangent vector, as in, for example, any well-adapted model of Kock and Lawvere's synthetic differential geometry. The key step in our proof uses a coherence theorem for tangent categories due to Leung to exhibit tangent categories as a certain kind of enriched category.

      PubDate: 2017-11-18T16:22:33Z
      DOI: 10.1016/j.aim.2017.10.039
      Issue No: Vol. 323 (2017)
       
  • Algebraic matroids and Frobenius flocks
    • Authors: Guus P. Bollen; Jan Draisma; Rudi Pendavingh
      Pages: 688 - 719
      Abstract: Publication date: 7 January 2018
      Source:Advances in Mathematics, Volume 323
      Author(s): Guus P. Bollen, Jan Draisma, Rudi Pendavingh
      We show that each algebraic representation of a matroid M in positive characteristic determines a matroid valuation of M, which we have named the Lindström valuation. If this valuation is trivial, then a linear representation of M in characteristic p can be derived from the algebraic representation. Thus, so-called rigid matroids, which only admit trivial valuations, are algebraic in positive characteristic p if and only if they are linear in characteristic p. To construct the Lindström valuation, we introduce new matroid representations called flocks, and show that each algebraic representation of a matroid induces flock representations.

      PubDate: 2017-11-18T16:22:33Z
      DOI: 10.1016/j.aim.2017.11.006
      Issue No: Vol. 323 (2017)
       
  • Two-parameter version of Bourgain's inequality: Rational frequencies
    • Authors: Ben Krause; Mariusz Mirek; Bartosz Trojan
      Pages: 720 - 744
      Abstract: Publication date: 7 January 2018
      Source:Advances in Mathematics, Volume 323
      Author(s): Ben Krause, Mariusz Mirek, Bartosz Trojan
      Our aim is to establish the first two-parameter version of Bourgain's maximal logarithmic inequality on L 2 ( R 2 ) for the rational frequencies. We achieve this by introducing a variant of a two-parameter Rademacher–Menschov inequality. The method allows us to control an oscillation seminorm as well.

      PubDate: 2017-11-18T16:22:33Z
      DOI: 10.1016/j.aim.2017.10.033
      Issue No: Vol. 323 (2017)
       
  • There is no bound on sizes of indecomposable Banach spaces
    • Authors: Piotr Koszmider; Saharon Shelah; Michał Świȩtek
      Pages: 745 - 783
      Abstract: Publication date: 7 January 2018
      Source:Advances in Mathematics, Volume 323
      Author(s): Piotr Koszmider, Saharon Shelah, Michał Świȩtek
      Assuming the generalized continuum hypothesis we construct arbitrarily big indecomposable Banach spaces. i.e., such that whenever they are decomposed as X ⊕ Y , then one of the closed subspaces X or Y must be finite dimensional. It requires alternative techniques compared to those which were initiated by Gowers and Maurey or Argyros with the coauthors. This is because hereditarily indecomposable Banach spaces always embed into ℓ ∞ and so their density and cardinality is bounded by the continuum and because dual Banach spaces of densities bigger than continuum are decomposable by a result due to Heinrich and Mankiewicz. The obtained Banach spaces are of the form C ( K ) for some compact connected Hausdorff space and have few operators in the sense that every linear bounded operator T on C ( K ) for every f ∈ C ( K ) satisfies T ( f ) = g f + S ( f ) where g ∈ C ( K ) and S is weakly compact or equivalently strictly singular. In particular, the spaces carry the structure of a Banach algebra and in the complex case even the structure of a C ⁎ -algebra.

      PubDate: 2017-11-18T16:22:33Z
      DOI: 10.1016/j.aim.2017.11.002
      Issue No: Vol. 323 (2017)
       
  • Sharp logarithmic estimates for positive dyadic shifts
    • Authors: Adam
      Abstract: Publication date: 14 January 2018
      Source:Advances in Mathematics, Volume 324
      Author(s): Adam Osękowski
      The paper contains the study of sharp logarithmic estimates for positive dyadic shifts A given on probability spaces ( X , μ ) equipped with a tree-like structure. For any K > 0 we determine the smallest constant L = L ( K ) such that ∫ E A f d μ ≤ K ∫ R Ψ ( f ) d μ + L ( K ) ⋅ μ ( E ) , where Ψ ( t ) = ( t + 1 ) log ⁡ ( t + 1 ) − t , E is an arbitrary measurable subset of X and f is an integrable function on X. The proof exploits Bellman function method: we extract the above estimate from the existence of an appropriate special function, enjoying certain size and concavity-type conditions. As a corollary, a dual exponential bound is obtained.

      PubDate: 2017-12-13T02:41:29Z
       
  • Bokstein homomorphism as a universal object
    • Authors: Kaledin
      Abstract: Publication date: 14 January 2018
      Source:Advances in Mathematics, Volume 324
      Author(s): D. Kaledin
      We give a simple construction of the correspondence between square-zero extensions R ′ of a ring R by an R-bimodule M and second MacLane cohomology classes of R with coefficients in M (the simplest non-trivial case of the construction is R = M = Z / p , R ′ = Z / p 2 , thus the Bokstein homomorphism of the title). Following Jibladze and Pirashvili, we treat MacLane cohomology as cohomology of non-additive endofunctors of the category of projective R-modules. We explain how to describe liftings of R-modules and complexes of R-modules to R ′ in terms of data purely over R. We show that if R is commutative, then commutative square-zero extensions R ′ correspond to multiplicative extensions of endofunctors. We then explore in detail one particular multiplicative non-additive endofunctor constructed from cyclic powers of a module V over a commutative ring R annihilated by a prime p. In this case, R ′ is the second Witt vectors ring W 2 ( R ) considered as a square-zero extension of R by the Frobenius twist R ( 1 ) .

      PubDate: 2017-12-13T02:41:29Z
       
  • L(R,μ) is unique
    • Authors: Daniel Nam; Trang
      Abstract: Publication date: 14 January 2018
      Source:Advances in Mathematics, Volume 324
      Author(s): Daniel Rodríguez, Nam Trang
      Under various appropriate hypotheses it is shown that there is only one determinacy model of the form L ( R , μ ) in which μ is a supercompact measure on P ω 1 ( R ) . In particular, this gives a positive answer to a question asked by W.H. Woodin in 1983.

      PubDate: 2017-12-13T02:41:29Z
       
  • Equivariant split generation and mirror symmetry of special isogenous tori
    • Authors: Weiwei
      Abstract: Publication date: 7 January 2018
      Source:Advances in Mathematics, Volume 323
      Author(s): Weiwei Wu
      We prove a version of equivariant split generation of Fukaya category when a symplectic manifold admits a free action of a finite group G. Combining this with some generalizations of Seidel's algebraic frameworks from [35], we obtain new cases of homological mirror symmetry for some symplectic tori with non-split symplectic forms, which we call special isogenous tori. This extends the work of Abouzaid–Smith [2]. We also show that derived Fukaya categories are complete invariants of special isogenous tori.

      PubDate: 2017-11-12T02:49:38Z
       
 
 
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