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Publisher: Oxford University Press   (Total: 372 journals)

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Showing 1 - 200 of 372 Journals sorted alphabetically
Acta Biochimica et Biophysica Sinica     Hybrid Journal   (Followers: 5, SJR: 0.881, h-index: 38)
Adaptation     Hybrid Journal   (Followers: 8, SJR: 0.111, h-index: 4)
Aesthetic Surgery J.     Hybrid Journal   (Followers: 6, SJR: 1.538, h-index: 35)
African Affairs     Hybrid Journal   (Followers: 65, SJR: 1.512, h-index: 46)
Age and Ageing     Hybrid Journal   (Followers: 86, SJR: 1.611, h-index: 107)
Alcohol and Alcoholism     Hybrid Journal   (Followers: 18, SJR: 0.935, h-index: 80)
American Entomologist     Full-text available via subscription   (Followers: 6)
American Historical Review     Hybrid Journal   (Followers: 145, SJR: 0.652, h-index: 43)
American J. of Agricultural Economics     Hybrid Journal   (Followers: 39, SJR: 1.441, h-index: 77)
American J. of Epidemiology     Hybrid Journal   (Followers: 167, SJR: 3.047, h-index: 201)
American J. of Hypertension     Hybrid Journal   (Followers: 25, SJR: 1.397, h-index: 111)
American J. of Jurisprudence     Hybrid Journal   (Followers: 18)
American J. of Legal History     Full-text available via subscription   (Followers: 9, SJR: 0.151, h-index: 7)
American Law and Economics Review     Hybrid Journal   (Followers: 27, SJR: 0.824, h-index: 23)
American Literary History     Hybrid Journal   (Followers: 15, SJR: 0.185, h-index: 22)
Analysis     Hybrid Journal   (Followers: 21)
Annals of Botany     Hybrid Journal   (Followers: 35, SJR: 1.912, h-index: 124)
Annals of Occupational Hygiene     Hybrid Journal   (Followers: 29, SJR: 0.837, h-index: 57)
Annals of Oncology     Hybrid Journal   (Followers: 48, SJR: 4.362, h-index: 173)
Annals of the Entomological Society of America     Full-text available via subscription   (Followers: 8, SJR: 0.642, h-index: 53)
Annals of Work Exposures and Health     Hybrid Journal  
AoB Plants     Open Access   (Followers: 4, SJR: 0.78, h-index: 10)
Applied Economic Perspectives and Policy     Hybrid Journal   (Followers: 17, SJR: 0.884, h-index: 31)
Applied Linguistics     Hybrid Journal   (Followers: 55, SJR: 1.749, h-index: 63)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1, SJR: 0.779, h-index: 11)
Arbitration Intl.     Full-text available via subscription   (Followers: 19)
Arbitration Law Reports and Review     Hybrid Journal   (Followers: 13)
Archives of Clinical Neuropsychology     Hybrid Journal   (Followers: 30, SJR: 0.96, h-index: 71)
Aristotelian Society Supplementary Volume     Hybrid Journal   (Followers: 3, SJR: 0.102, h-index: 20)
Arthropod Management Tests     Hybrid Journal   (Followers: 2)
Astronomy & Geophysics     Hybrid Journal   (Followers: 42, SJR: 0.144, h-index: 15)
Behavioral Ecology     Hybrid Journal   (Followers: 51, SJR: 1.698, h-index: 92)
Bioinformatics     Hybrid Journal   (Followers: 282, SJR: 4.643, h-index: 271)
Biology Methods and Protocols     Hybrid Journal  
Biology of Reproduction     Full-text available via subscription   (Followers: 9, SJR: 1.646, h-index: 149)
Biometrika     Hybrid Journal   (Followers: 20, SJR: 2.801, h-index: 90)
BioScience     Hybrid Journal   (Followers: 30, SJR: 2.374, h-index: 154)
Bioscience Horizons : The National Undergraduate Research J.     Open Access   (Followers: 1, SJR: 0.213, h-index: 9)
Biostatistics     Hybrid Journal   (Followers: 17, SJR: 1.955, h-index: 55)
BJA : British J. of Anaesthesia     Hybrid Journal   (Followers: 158, SJR: 2.314, h-index: 133)
BJA Education     Hybrid Journal   (Followers: 64, SJR: 0.272, h-index: 20)
Brain     Hybrid Journal   (Followers: 68, SJR: 6.097, h-index: 264)
Briefings in Bioinformatics     Hybrid Journal   (Followers: 43, SJR: 4.086, h-index: 73)
Briefings in Functional Genomics     Hybrid Journal   (Followers: 3, SJR: 1.771, h-index: 50)
British J. for the Philosophy of Science     Hybrid Journal   (Followers: 33, SJR: 1.267, h-index: 38)
British J. of Aesthetics     Hybrid Journal   (Followers: 26, SJR: 0.217, h-index: 18)
British J. of Criminology     Hybrid Journal   (Followers: 580, SJR: 1.373, h-index: 62)
British J. of Social Work     Hybrid Journal   (Followers: 86, SJR: 0.771, h-index: 53)
British Medical Bulletin     Hybrid Journal   (Followers: 7, SJR: 1.391, h-index: 84)
British Yearbook of Intl. Law     Hybrid Journal   (Followers: 30)
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 4, SJR: 1.474, h-index: 31)
Cambridge J. of Economics     Hybrid Journal   (Followers: 61, SJR: 0.957, h-index: 59)
Cambridge J. of Regions, Economy and Society     Hybrid Journal   (Followers: 9, SJR: 1.067, h-index: 22)
Cambridge Quarterly     Hybrid Journal   (Followers: 9, SJR: 0.1, h-index: 7)
Capital Markets Law J.     Hybrid Journal   (Followers: 2)
Carcinogenesis     Hybrid Journal   (Followers: 2, SJR: 2.439, h-index: 167)
Cardiovascular Research     Hybrid Journal   (Followers: 12, SJR: 2.897, h-index: 175)
Cerebral Cortex     Hybrid Journal   (Followers: 44, SJR: 4.827, h-index: 192)
CESifo Economic Studies     Hybrid Journal   (Followers: 17, SJR: 0.501, h-index: 19)
Chemical Senses     Hybrid Journal   (Followers: 1, SJR: 1.436, h-index: 76)
Children and Schools     Hybrid Journal   (Followers: 5, SJR: 0.211, h-index: 18)
Chinese J. of Comparative Law     Hybrid Journal   (Followers: 4)
Chinese J. of Intl. Law     Hybrid Journal   (Followers: 22, SJR: 0.737, h-index: 11)
Chinese J. of Intl. Politics     Hybrid Journal   (Followers: 8, SJR: 1.238, h-index: 15)
Christian Bioethics: Non-Ecumenical Studies in Medical Morality     Hybrid Journal   (Followers: 10, SJR: 0.191, h-index: 8)
Classical Receptions J.     Hybrid Journal   (Followers: 25, SJR: 0.1, h-index: 3)
Clinical Infectious Diseases     Hybrid Journal   (Followers: 62, SJR: 4.742, h-index: 261)
Clinical Kidney J.     Open Access   (Followers: 3, SJR: 0.338, h-index: 19)
Community Development J.     Hybrid Journal   (Followers: 27, SJR: 0.47, h-index: 28)
Computer J.     Hybrid Journal   (Followers: 9, SJR: 0.371, h-index: 47)
Conservation Physiology     Open Access   (Followers: 2)
Contemporary Women's Writing     Hybrid Journal   (Followers: 9, SJR: 0.111, h-index: 3)
Contributions to Political Economy     Hybrid Journal   (Followers: 5, SJR: 0.313, h-index: 10)
Critical Values     Full-text available via subscription  
Current Legal Problems     Hybrid Journal   (Followers: 27)
Current Zoology     Full-text available via subscription   (Followers: 1, SJR: 0.999, h-index: 20)
Database : The J. of Biological Databases and Curation     Open Access   (Followers: 8, SJR: 1.068, h-index: 24)
Digital Scholarship in the Humanities     Hybrid Journal   (Followers: 13)
Diplomatic History     Hybrid Journal   (Followers: 19, SJR: 0.296, h-index: 22)
DNA Research     Open Access   (Followers: 5, SJR: 2.42, h-index: 77)
Dynamics and Statistics of the Climate System     Open Access   (Followers: 3)
Early Music     Hybrid Journal   (Followers: 15, SJR: 0.124, h-index: 11)
Economic Policy     Hybrid Journal   (Followers: 39, SJR: 2.052, h-index: 52)
ELT J.     Hybrid Journal   (Followers: 25, SJR: 1.26, h-index: 23)
English Historical Review     Hybrid Journal   (Followers: 51, SJR: 0.311, h-index: 10)
English: J. of the English Association     Hybrid Journal   (Followers: 14, SJR: 0.144, h-index: 3)
Environmental Entomology     Full-text available via subscription   (Followers: 11, SJR: 0.791, h-index: 66)
Environmental Epigenetics     Open Access   (Followers: 3)
Environmental History     Hybrid Journal   (Followers: 26, SJR: 0.197, h-index: 25)
EP-Europace     Hybrid Journal   (Followers: 2, SJR: 2.201, h-index: 71)
Epidemiologic Reviews     Hybrid Journal   (Followers: 9, SJR: 3.917, h-index: 81)
ESHRE Monographs     Hybrid Journal  
Essays in Criticism     Hybrid Journal   (Followers: 16, SJR: 0.1, h-index: 6)
European Heart J.     Hybrid Journal   (Followers: 54, SJR: 6.997, h-index: 227)
European Heart J. - Cardiovascular Imaging     Hybrid Journal   (Followers: 8, SJR: 2.044, h-index: 58)
European Heart J. - Cardiovascular Pharmacotherapy     Full-text available via subscription   (Followers: 1)
European Heart J. - Quality of Care and Clinical Outcomes     Hybrid Journal  
European Heart J. Supplements     Hybrid Journal   (Followers: 7, SJR: 0.152, h-index: 31)
European J. of Cardio-Thoracic Surgery     Hybrid Journal   (Followers: 9, SJR: 1.568, h-index: 104)
European J. of Intl. Law     Hybrid Journal   (Followers: 170, SJR: 0.722, h-index: 38)
European J. of Orthodontics     Hybrid Journal   (Followers: 4, SJR: 1.09, h-index: 60)
European J. of Public Health     Hybrid Journal   (Followers: 20, SJR: 1.284, h-index: 64)
European Review of Agricultural Economics     Hybrid Journal   (Followers: 9, SJR: 1.549, h-index: 42)
European Review of Economic History     Hybrid Journal   (Followers: 28, SJR: 0.628, h-index: 24)
European Sociological Review     Hybrid Journal   (Followers: 40, SJR: 2.061, h-index: 53)
Evolution, Medicine, and Public Health     Open Access   (Followers: 10)
Family Practice     Hybrid Journal   (Followers: 14, SJR: 1.048, h-index: 77)
Fems Microbiology Ecology     Hybrid Journal   (Followers: 10, SJR: 1.687, h-index: 115)
Fems Microbiology Letters     Hybrid Journal   (Followers: 22, SJR: 1.126, h-index: 118)
Fems Microbiology Reviews     Hybrid Journal   (Followers: 27, SJR: 7.587, h-index: 150)
Fems Yeast Research     Hybrid Journal   (Followers: 14, SJR: 1.213, h-index: 66)
Foreign Policy Analysis     Hybrid Journal   (Followers: 23, SJR: 0.859, h-index: 10)
Forestry: An Intl. J. of Forest Research     Hybrid Journal   (Followers: 14, SJR: 0.903, h-index: 44)
Forum for Modern Language Studies     Hybrid Journal   (Followers: 6, SJR: 0.108, h-index: 6)
French History     Hybrid Journal   (Followers: 32, SJR: 0.123, h-index: 10)
French Studies     Hybrid Journal   (Followers: 20, SJR: 0.119, h-index: 7)
French Studies Bulletin     Hybrid Journal   (Followers: 10, SJR: 0.102, h-index: 3)
Gastroenterology Report     Open Access   (Followers: 2)
Genome Biology and Evolution     Open Access   (Followers: 11, SJR: 3.22, h-index: 39)
Geophysical J. Intl.     Hybrid Journal   (Followers: 34, SJR: 1.839, h-index: 119)
German History     Hybrid Journal   (Followers: 22, SJR: 0.437, h-index: 13)
GigaScience     Open Access   (Followers: 3)
Global Summitry     Hybrid Journal   (Followers: 1)
Glycobiology     Hybrid Journal   (Followers: 14, SJR: 1.692, h-index: 101)
Health and Social Work     Hybrid Journal   (Followers: 54, SJR: 0.505, h-index: 40)
Health Education Research     Hybrid Journal   (Followers: 13, SJR: 0.814, h-index: 80)
Health Policy and Planning     Hybrid Journal   (Followers: 24, SJR: 1.628, h-index: 66)
Health Promotion Intl.     Hybrid Journal   (Followers: 21, SJR: 0.664, h-index: 60)
History Workshop J.     Hybrid Journal   (Followers: 28, SJR: 0.313, h-index: 20)
Holocaust and Genocide Studies     Hybrid Journal   (Followers: 26, SJR: 0.115, h-index: 13)
Human Molecular Genetics     Hybrid Journal   (Followers: 8, SJR: 4.288, h-index: 233)
Human Reproduction     Hybrid Journal   (Followers: 72, SJR: 2.271, h-index: 179)
Human Reproduction Update     Hybrid Journal   (Followers: 16, SJR: 4.678, h-index: 128)
Human Rights Law Review     Hybrid Journal   (Followers: 60, SJR: 0.7, h-index: 21)
ICES J. of Marine Science: J. du Conseil     Hybrid Journal   (Followers: 51, SJR: 1.233, h-index: 88)
ICSID Review     Hybrid Journal   (Followers: 12)
ILAR J.     Hybrid Journal   (Followers: 2, SJR: 1.099, h-index: 51)
IMA J. of Applied Mathematics     Hybrid Journal   (SJR: 0.329, h-index: 26)
IMA J. of Management Mathematics     Hybrid Journal   (SJR: 0.351, h-index: 20)
IMA J. of Mathematical Control and Information     Hybrid Journal   (Followers: 2, SJR: 0.661, h-index: 28)
IMA J. of Numerical Analysis - advance access     Hybrid Journal   (SJR: 2.032, h-index: 44)
Industrial and Corporate Change     Hybrid Journal   (Followers: 10, SJR: 1.37, h-index: 81)
Industrial Law J.     Hybrid Journal   (Followers: 34, SJR: 0.184, h-index: 15)
Information and Inference     Free  
Integrative and Comparative Biology     Hybrid Journal   (Followers: 7, SJR: 1.911, h-index: 90)
Interacting with Computers     Hybrid Journal   (Followers: 10, SJR: 0.529, h-index: 59)
Interactive CardioVascular and Thoracic Surgery     Hybrid Journal   (Followers: 6, SJR: 0.743, h-index: 35)
Intl. Affairs     Hybrid Journal   (Followers: 56, SJR: 1.264, h-index: 53)
Intl. Data Privacy Law     Hybrid Journal   (Followers: 30)
Intl. Health     Hybrid Journal   (Followers: 5, SJR: 0.835, h-index: 15)
Intl. Immunology     Hybrid Journal   (Followers: 3, SJR: 1.613, h-index: 111)
Intl. J. for Quality in Health Care     Hybrid Journal   (Followers: 33, SJR: 1.593, h-index: 69)
Intl. J. of Constitutional Law     Hybrid Journal   (Followers: 63, SJR: 0.613, h-index: 19)
Intl. J. of Epidemiology     Hybrid Journal   (Followers: 182, SJR: 4.381, h-index: 145)
Intl. J. of Law and Information Technology     Hybrid Journal   (Followers: 5, SJR: 0.247, h-index: 8)
Intl. J. of Law, Policy and the Family     Hybrid Journal   (Followers: 30, SJR: 0.307, h-index: 15)
Intl. J. of Lexicography     Hybrid Journal   (Followers: 10, SJR: 0.404, h-index: 18)
Intl. J. of Low-Carbon Technologies     Open Access   (Followers: 1, SJR: 0.457, h-index: 12)
Intl. J. of Neuropsychopharmacology     Open Access   (Followers: 3, SJR: 1.69, h-index: 79)
Intl. J. of Public Opinion Research     Hybrid Journal   (Followers: 9, SJR: 0.906, h-index: 33)
Intl. J. of Refugee Law     Hybrid Journal   (Followers: 35, SJR: 0.231, h-index: 21)
Intl. J. of Transitional Justice     Hybrid Journal   (Followers: 12, SJR: 0.833, h-index: 12)
Intl. Mathematics Research Notices     Hybrid Journal   (Followers: 1, SJR: 2.052, h-index: 42)
Intl. Political Sociology     Hybrid Journal   (Followers: 35, SJR: 1.339, h-index: 19)
Intl. Relations of the Asia-Pacific     Hybrid Journal   (Followers: 22, SJR: 0.539, h-index: 17)
Intl. Studies Perspectives     Hybrid Journal   (Followers: 9, SJR: 0.998, h-index: 28)
Intl. Studies Quarterly     Hybrid Journal   (Followers: 42, SJR: 2.184, h-index: 68)
Intl. Studies Review     Hybrid Journal   (Followers: 20, SJR: 0.783, h-index: 38)
ISLE: Interdisciplinary Studies in Literature and Environment     Hybrid Journal   (Followers: 1, SJR: 0.155, h-index: 4)
ITNOW     Hybrid Journal   (Followers: 1, SJR: 0.102, h-index: 4)
J. of African Economies     Hybrid Journal   (Followers: 15, SJR: 0.647, h-index: 30)
J. of American History     Hybrid Journal   (Followers: 45, SJR: 0.286, h-index: 34)
J. of Analytical Toxicology     Hybrid Journal   (Followers: 13, SJR: 1.038, h-index: 60)
J. of Antimicrobial Chemotherapy     Hybrid Journal   (Followers: 14, SJR: 2.157, h-index: 149)
J. of Antitrust Enforcement     Hybrid Journal   (Followers: 1)
J. of Applied Poultry Research     Hybrid Journal   (Followers: 4, SJR: 0.563, h-index: 43)
J. of Biochemistry     Hybrid Journal   (Followers: 41, SJR: 1.341, h-index: 96)
J. of Burn Care & Research     Full-text available via subscription   (Followers: 9, SJR: 0.713, h-index: 57)
J. of Chromatographic Science     Hybrid Journal   (Followers: 18, SJR: 0.448, h-index: 42)
J. of Church and State     Hybrid Journal   (Followers: 11, SJR: 0.167, h-index: 11)
J. of Competition Law and Economics     Hybrid Journal   (Followers: 35, SJR: 0.442, h-index: 16)
J. of Complex Networks     Hybrid Journal   (Followers: 1, SJR: 1.165, h-index: 5)
J. of Conflict and Security Law     Hybrid Journal   (Followers: 13, SJR: 0.196, h-index: 15)
J. of Consumer Research     Full-text available via subscription   (Followers: 41, SJR: 4.896, h-index: 121)
J. of Crohn's and Colitis     Hybrid Journal   (Followers: 9, SJR: 1.543, h-index: 37)
J. of Cybersecurity     Hybrid Journal   (Followers: 3)
J. of Deaf Studies and Deaf Education     Hybrid Journal   (Followers: 8, SJR: 0.69, h-index: 36)
J. of Design History     Hybrid Journal   (Followers: 17, SJR: 0.166, h-index: 14)
J. of Economic Entomology     Full-text available via subscription   (Followers: 6, SJR: 0.894, h-index: 76)
J. of Economic Geography     Hybrid Journal   (Followers: 24, SJR: 2.909, h-index: 69)
J. of Environmental Law     Hybrid Journal   (Followers: 21, SJR: 0.457, h-index: 20)
J. of European Competition Law & Practice     Hybrid Journal   (Followers: 20)
J. of Experimental Botany     Hybrid Journal   (Followers: 13, SJR: 2.798, h-index: 163)
J. of Financial Econometrics     Hybrid Journal   (Followers: 22, SJR: 1.314, h-index: 27)
J. of Global Security Studies     Hybrid Journal   (Followers: 5)
J. of Heredity     Hybrid Journal   (Followers: 3, SJR: 1.024, h-index: 76)
J. of Hindu Studies     Hybrid Journal   (Followers: 8, SJR: 0.186, h-index: 3)
J. of Hip Preservation Surgery     Open Access  
J. of Human Rights Practice     Hybrid Journal   (Followers: 16, SJR: 0.399, h-index: 10)
J. of Infectious Diseases     Hybrid Journal   (Followers: 40, SJR: 4, h-index: 209)

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Journal Cover International Mathematics Research Notices
  [SJR: 2.052]   [H-I: 42]   [1 followers]  Follow
    
   Hybrid Journal Hybrid journal (It can contain Open Access articles)
   ISSN (Print) 1073-7928 - ISSN (Online) 1687-0247
   Published by Oxford University Press Homepage  [372 journals]
  • On Okounkov’s Conjecture Connecting Hilbert Schemes of Points and
           Multiple $q$-Zeta Values
    • Authors: Qin Z Yu F.
      Pages: 321 - 361
      Abstract: We compute the generating series for the intersection pairings between the total Chern classes of the tangent bundles of the Hilbert schemes of points on a smooth projective surface and the Chern characters of tautological bundles over these Hilbert schemes. Modulo the lower weight term, we verify Okounkov’s conjecture [13] connecting these Hilbert schemes and multiple $q$-zeta values. In addition, this conjecture is completely proved when the surface is abelian. We also determine some universal constants in the sense of Boissière and Nieper-Wisskirchen [1, 2] regarding the total Chern classes of the tangent bundles of these Hilbert schemes. The main approach of this article is to use the set-up of Carlsson and Okounkov outlined in Carlsson [5, 6] and the structure of the Chern character operators proved in Li, Qin, and Wang [10].
      PubDate: Fri, 25 Nov 2016 00:00:00 GMT
      DOI: 10.1093/imrn/rnw244
      Issue No: Vol. 2018, No. 2 (2016)
       
  • Classification of Special Curves in the Space of Cubic Polynomials
    • Authors: Favre C; Gauthier T.
      Pages: 362 - 411
      Abstract: We describe all special curves in the parameter space of complex cubic polynomials, that is all algebraic irreducible curves containing infinitely many post-critically finite polynomials. This solves in a strong form a conjecture by Baker and DeMarco for cubic polynomials.Let Perm(λ) be the algebraic curve consisting of those cubic polynomials that admit an orbit of period m and multiplier λ. We also prove that an irreducible component of Perm(λ) is special if and only if λ=0.
      PubDate: Fri, 16 Dec 2016 00:00:00 GMT
      DOI: 10.1093/imrn/rnw245
      Issue No: Vol. 2018, No. 2 (2016)
       
  • The Weak Maximum Principle for Degenerate Elliptic Operators in Unbounded
           Domains
    • Authors: Capuzzo Dolcetta I; Vitolo A.
      Pages: 412 - 431
      Abstract: We investigate and prove the validity of the maximum principle in narrow, possibly unbounded domains for very degenerate elliptic operators, just requiring a strict ellipticity in one direction and moreover establishing related Phragmén-Lindelöf principles.
      PubDate: Fri, 16 Dec 2016 00:00:00 GMT
      DOI: 10.1093/imrn/rnw249
      Issue No: Vol. 2018, No. 2 (2016)
       
  • Real Algebraic Surfaces with Many Handles in $(\mathbb{CP}^1)^3$
    • Authors: Renaudineau A.
      Pages: 432 - 469
      Abstract: In this text, we study Viro’s conjecture and related problems for real algebraic surfaces in $(\mathbb{CP}^1)^3$. We construct a counterexample to Viro’s conjecture in tridegree $(4,4,2)$ and a family of real algebraic surfaces of tridegree $(d_1,d_2,2)$ in $(\mathbb{CP}^1)^3$ with asymptotically maximal first Betti number of the real part. To perform such constructions, we consider double covers of blow-ups of $(\mathbb{CP}^1)^2$ and we glue singular curves with special position of the singularities adapting the proof of Shustin’s theorem for gluing singular hypersurfaces.
      PubDate: Sat, 17 Dec 2016 00:00:00 GMT
      DOI: 10.1093/imrn/rnw253
      Issue No: Vol. 2018, No. 2 (2016)
       
  • Convex Bodies with Identical John and LYZ Ellipsoids
    • Authors: Zou D; Xiong G.
      Pages: 470 - 491
      Abstract: Convex bodies with identical John and LYZ ellipsoids are characterized. This solves an important problem from convex geometry posed by G. Zhang. As applications, several sharp affine isoperimetric inequalities are established.
      PubDate: Mon, 19 Dec 2016 00:00:00 GMT
      DOI: 10.1093/imrn/rnw265
      Issue No: Vol. 2018, No. 2 (2016)
       
  • Kloosterman Sums and Maass Cusp Forms of Half Integral Weight for the
           Modular Group
    • Authors: Ahlgren S; Andersen N.
      Pages: 492 - 570
      Abstract: We estimate the sums ∑c≤xS(m,n,c,χ)c, where the $S(m,n,c,\chi)$ are Kloosterman sums associated with a multiplier system $\chi$ of half-integral weight on the modular group. Our estimates are uniform in $m,n,$ and $x$ in analogy with Sarnak and Tsimerman’s improvement of Kuznetsov’s bound for the ordinary Kloosterman sums. Among other things this requires us to develop mean value estimates for coefficients of Maass cusp forms of weight $1/2$ and uniform estimates for $K$-Bessel integral transforms. As an application, we obtain an improved estimate for the classical problem of estimating the size of the error term in Rademacher’s formula for the partition function $p(n)$.
      PubDate: Sat, 24 Dec 2016 00:00:00 GMT
      DOI: 10.1093/imrn/rnw234
      Issue No: Vol. 2018, No. 2 (2016)
       
  • Residual Irreducibility of Compatible Systems
    • Authors: Patrikis S; Snowden A, Wiles A.
      Pages: 571 - 587
      Abstract: We show that if $\{\rho_{\ell}\}$ is a compatible system of absolutely irreducible Galois representations of a number field then the residual representation $\overline{\rho}_{\ell}$ is absolutely irreducible for $\ell$ in a density 1 set of primes. The key technical result is the following theorem: the image of $\rho_{\ell}$ is an open subgroup of a hyperspecial maximal compact subgroup of its Zariski closure with bounded index (as $\ell$ varies). This result combines a theorem of Larsen on the semi-simple part of the image with an analogous result for the central torus that was recently proved by Barnet-Lamb, Gee, Geraghty, and Taylor, and for which we give a new proof.
      PubDate: Sat, 24 Dec 2016 00:00:00 GMT
      DOI: 10.1093/imrn/rnw241
      Issue No: Vol. 2018, No. 2 (2016)
       
  • Entropic CLT and Phase Transition in High-dimensional Wishart Matrices
    • Authors: Bubeck S; Ganguly S.
      Pages: 588 - 606
      Abstract: We consider high dimensional Wishart matrices $\mathbb{X} \mathbb{X}^{\top}$, where the entries of $\mathbb{X} \in \mathbb{R}^{n \times d}$ are i.i.d. from a log-concave distribution. We prove an information theoretic phase transition: such matrices are close in total variation distance to the corresponding Gaussian ensemble if and only if d is much larger than $n^3$. Our proof is entropy-based, making use of the chain rule for relative entropy along with the recursive structure in the definition of the Wishart ensemble. The proof crucially relies on the well known relation between Fisher information and entropy, a variational representation for Fisher information, concentration bounds for the spectral norm of a random matrix, and certain small ball probability estimates for log-concave measures.
      PubDate: Tue, 27 Dec 2016 00:00:00 GMT
      DOI: 10.1093/imrn/rnw243
      Issue No: Vol. 2018, No. 2 (2016)
       
  • The closure of two-sided multiplications on C*-algebras and phantom line
           bundles
    • Authors: Gogić I; Timoney R.
      Pages: 607 - 640
      Abstract: For a $C^*$-algebra $A,$ we consider the problem when the set $\mathop{\mathrm{TM}}\nolimits_0(A)$ of all two-sided multiplications $x \mapsto axb$$(a,b \in A)$ on $A$ is norm closed, as a subset of $\mathcal{B}(A)$. We first show that $\mathop{\mathrm{TM}}\nolimits_0(A)$ is norm closed for all prime $C^*$-algebras $A$. On the other hand, if $A\cong \Gamma_0(\mathcal{E} )$ is an $n$-homogeneous $C^*$-algebra, where $\mathcal{E} $ is the canonical $\mathbb{M}_n $-bundle over the primitive spectrum $X$ of $A$, we show that $\mathop{\mathrm{TM}}\nolimits_0(A)$ fails to be norm closed if and only if there exists a $\sigma$-compact open subset $U$ of $X$ and a phantom complex line subbundle $\mathcal{L} $ of $\mathcal{E} $ over $U$ (i.e., $\mathcal{L} $ is not globally trivial, but is trivial on all compact subsets of $U$). This phenomenon occurs whenever $n \geq 2$ and $X$ is a CW-complex (or a topological manifold) of dimension $3 \leq d<\infty$.
      PubDate: Sat, 24 Dec 2016 00:00:00 GMT
      DOI: 10.1093/imrn/rnw248
      Issue No: Vol. 2018, No. 2 (2016)
       
 
 
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