Top Cited Articles of All Time (2008 edition) in math-ph

Top Cited Articles of All Time (2008 edition) in math-ph

The 50 most highly cited papers of All Time (2008 edition) in the math-ph archive

Keep in mind that citation counts can never be exact, there is something like a 5% error in most of these numbers. Please do not fret about number 32 versus 33, as this is often not a statistically significant difference. Remember the detailed warning about the accuracy of these counts.

Also note that the counts shown, and used in the rankings, are the counts as of Mon 12-Jan-2009. Further, the counts shown by the ranking are only the cites satisfying the criteria for that list. Actual citation numbers in the database may change as corrections are made and papers are added, the links will take you to the updated numbers. The lists, however, will not update.

  1. 29
    Invariants of algebraic curves and topological expansion
    By Bertrand Eynard, Nicolas Orantin (Saclay, SPht).
    HEP Record (arXiv: math-ph/0702045)
    [29 Total citations in HEP]
  2. 25
    Functional determinants by contour integration methods
    By Klaus Kirsten (Leipzig, Max Planck Inst. & Baylor U.), Alan J. McKane (Manchester U.).
    Published in:Annals Phys.308:502-527,2003 (arXiv: math-ph/0305010)
    [25 Total citations in HEP]
  3. 16
    Dimensional regularization and renormalization of non-commutative QFT
    By R. Gurau, A. Tanasa (Orsay, LPT).
    Published in:Annales Henri Poincare 9:655-683,2008 (arXiv:0706.1147 [math-ph])
    [16 Total citations in HEP]
  4. 13
    Algebraic quantization of the closed bosonic string
    By Catherine Meusburger (Freiburg U.), Karl-Henning Rehren (Gottingen U.).
    Published in:Commun.Math.Phys.237:69-85,2003 (arXiv: math-ph/0202041)
    [13 Total citations in HEP]
  5. 13
    A Translation-invariant renormalizable non-commutative scalar model
    By R. Gurau (Orsay, LPT), J. Magnen (Ecole Polytechnique, CPHT), V. Rivasseau (Orsay, LPT), A. Tanasa (Bucharest, IFIN-HH & Bonn, Max Planck Inst., Math.).
    HEP Record (arXiv:0802.0791 [math-ph])
    [13 Total citations in HEP]
  6. 12
    Non-commutative complete Mellin representation for Feynman amplitudes
    By R. Gurau (Orsay, LPT), A.P.C. Malbouisson (Rio de Janeiro, CBPF), V. Rivasseau, A. Tanasa (Orsay, LPT).
    Published in:Lett.Math.Phys.81:161-175,2007 (arXiv:0705.3437 [math-ph])
    [12 Total citations in HEP]
  7. 12
    On Verlinde-Like Formulas in c(p,1) Logarithmic Conformal Field Theories
    By Michael Flohr, Holger Knuth (Hannover U.).
    HEP Record (arXiv:0705.0545 [math-ph])
    [12 Total citations in HEP]
  8. 11
    Nonlinear equations for p-adic open, closed, and open-closed strings
    By V. Vladimirov (Steklov Math. Inst., Moscow).
    Published in:Theor.Math.Phys.149:1604-1616,2006, Teor.Mat.Fiz.149:354-367,2006 (arXiv:0705.4600 [math-ph])
    [11 Total citations in HEP]
  9. 11
    On Recent strategies proposed for proving the Riemann hypothesis
    By E. Elizalde (MIT), V. Moretti (Trento U.), S. Zerbini (Trento U. & INFN, Trento).
    Published in:Int.J.Mod.Phys.A18:2189-2196,2003 (arXiv: math-ph/0109006)
    [11 Total citations in HEP]
  10. 10
    Generalized free fields and the AdS - CFT correspondence
    By Michael Duetsch, Karl-Henning Rehren (Gottingen U.).
    Published in:Annales Henri Poincare 4:613-635,2003 (arXiv: math-ph/0209035)
    [10 Total citations in HEP]
  11. 10
    Loop groups, anyons and the Calogero-Sutherland model
    By Alan L. Carey (Adelaide U.), Edwin Langmann (Royal Inst. Tech., Stockholm).
    Published in:Commun.Math.Phys.201:1-34,1999 (arXiv: math-ph/9805010)
    [10 Total citations in HEP]
  12. 9
    Constructive phi**4 field theory without tears
    By J. Magnen (Ecole Polytechnique, CPHT), V. Rivasseau (Orsay, LPT).
    Published in:Annales Henri Poincare 9:403-424,2008 (arXiv:0706.2457 [math-ph])
    [9 Total citations in HEP]
  13. 9
    Hopf algebra of non-commutative field theory
    By Adrian Tanasa (Orsay, LPT & Bucharest U.), Fabien Vignes-Tourneret (IHES, Bures-sur-Yvette).
    HEP Record (arXiv:0707.4143 [math-ph])
    [9 Total citations in HEP]
  14. 9
    Iterative method for solving nonlinear integral equations describing rolling solutions in string theory
    By L.V. Joukovskaya (Steklov Math. Inst., Moscow).
    Published in:Theor.Math.Phys.146:335-342,2006, Teor.Mat.Fiz.146:402-409,2006 (arXiv:0708.0642 [math-ph])
    [9 Total citations in HEP]
  15. 8
    PT-symmetric Deformations of the Korteweg-de Vries Equation
    By Andreas Fring (London, City U.).
    Published in:J.Phys.A40:4215-4224,2007 (arXiv: math-ph/0701036)
    [9 Total citations in HEP]
  16. 7
    Some remarks on Ricci flow and the quantum potential
    By Robert Carroll (Illinois U., Urbana).
    HEP Record (arXiv: math-ph/0703065)
    [7 Total citations in HEP]
  17. 7
    Large N expansion of convergent matrix integrals, holomorphic anomalies, and background independence
    By Bertrand Eynard (Saclay, SPht).
    HEP Record (arXiv:0802.1788 [math-ph])
    [7 Total citations in HEP]
  18. 6
    Difference Equations in Massive Higher Order Calculations
    By I. Bierenbaum, J. Blumlein, S. Klein (DESY, Zeuthen), C. Schneider (Linz U.).
    Published in:PoS ACAT2007:082,2007 (arXiv:0707.4659 [math-ph])
    [6 Total citations in HEP]
  19. 6
    Nonperturbative mass and charge renormalization in relativistic no photon quantum electrodynamics
    By Christian Hainzl, Heinz Siedentop (Munich U.).
    Published in:Commun.Math.Phys.243:241-260,2003 (arXiv: math-ph/0303043)
    [6 Total citations in HEP]
  20. 5
    One-loop beta functions of a translation-invariant renormalizable noncommutative scalar model
    By Joseph Ben Geloun (ICMPA, Benin & Orsay, LPT & IHES, Bures-sur-Yvette), Adrian Tanasa (Bucharest, IFIN-HH & IHES, Bures-sur-Yvette).
    Published in:Lett.Math.Phys.86:19-32,2008 (arXiv:0806.3886 [math-ph])
    [5 Total citations in HEP]
  21. 5
    On the configuration spaces of homogeneous loop quantum cosmology and loop quantum gravity
    By Johannes Brunnemann (Hamburg U., Dept. Math.), Christian Fleischhack (Hamburg U., Dept. Math. & Leipzig U., Math. Inst.).
    HEP Record (arXiv:0709.1621 [math-ph])
    [5 Total citations in HEP]
  22. 5
    Matrix eigenvalue model: Feynman graph technique for all genera
    By Leonid Chekhov (Steklov Math. Inst., Moscow & Moscow, ITEP & Poncelet Lab., Moscow), Bertrand Eynard (Saclay, SPhT).
    Published in:JHEP 0612:026,2006 (arXiv: math-ph/0604014)
    [5 Total citations in HEP]
  23. 5
    Geometrization of Quantum Mechanics
    By Jose F. Carinena, Jesus Clemente-Gallardo (Zaragoza U.), Giuseppe Marmo (Naples U. & INFN, Naples).
    Published in:Theor.Math.Phys.152:894-903,2007 (arXiv: math-ph/0701053)
    [5 Total citations in HEP]
  24. 5
    Multi-center MICZ-Kepler systems
    By Armen Nersessian (Yerevan State U. & Yerevan Phys. Inst. & Artsakh State U.), Vadim Ohanyan (Yerevan State U. & Yerevan Phys. Inst. & Yerevan, RAU).
    Published in:Theor.Math.Phys.155:618-626,2008 (arXiv:0705.0727 [math-ph])
    [5 Total citations in HEP]
  25. 5
    Parametric representation of a translation-invariant renormalizable noncommutative model
    By Adrian Tanasa (Bucharest, IFIN-HH).
    HEP Record (arXiv:0807.2779 [math-ph])
    [5 Total citations in HEP]
  26. 5
    Spectrum and Bethe ansatz equations for the U(q) (gl(N)) closed and open spin chains in any representation
    By D. Arnaudon (Annecy, LAPTH), N. Crampe (York U., England, Dept. Math.), A. Doikou (Annecy, LAPTH), L. Frappat (Annecy, LAPTH & Inst. U. de France).
    HEP Record (arXiv: math-ph/0512037)
    [5 Total citations in HEP]
  27. 5
    Einstein-Weyl from Kaluza-Klein
    By D. Grumiller, R. Jackiw (MIT, LNS).
    Published in:Phys.Lett.A372:2547-2551,2008 (arXiv:0711.0181 [math-ph])
    [5 Total citations in HEP]
  28. 5
    Einstein gravity as a nonholonomic almost Kahler geometry, Lagrange-Finsler variables, and deformation quantization
    By Sergiu I. Vacaru (Fields Inst., Toronto).
    HEP Record (arXiv:0709.3609 [math-ph])
    [5 Total citations in HEP]
  29. 5
    Weil-Petersson volume of moduli spaces, Mirzakhani's recursion and matrix models
    By Bertrand Eynard, Nicolas Orantin (Saclay, SPht).
    HEP Record (arXiv:0705.3600 [math-ph])
    [5 Total citations in HEP]
  30. 5
    Anisotropic inharmonic Higgs oscillator and related (MICZ-)Kepler-like systems
    By Armen Nersessian (Yerevan State U. & Artsakh State U. & Yerevan Phys. Inst.), Vahagn Yeghikyan (Yerevan State U.).
    Published in:J.Phys.A41:155203,2008 (arXiv:0710.5001 [math-ph])
    [5 Total citations in HEP]
  31. 5
    A Maximally superintegrable system on an n-dimensional space of nonconstant curvature
    By Angel Ballesteros (Burgos U.), Alberto Enciso (Madrid U.), Francisco J. Herranz (Burgos U.), Orlando Ragnisco (Rome III U. & INFN, Rome3).
    Published in:Physica D237:505-509,2008 (arXiv: math-ph/0612080)
    [5 Total citations in HEP]
  32. 4
    On asymptotic stability of the Skyrmion
    By Piotr Bizon (Jagiellonian U.), Tadeusz Chmaj (Cracow, INP & Cracow Tech. U.), Andrzej Rostworowski (Jagiellonian U.).
    Published in:Phys.Rev.D75:121702,2007 (arXiv: math-ph/0701037)
    [4 Total citations in HEP]
  33. 4
    On the Regularized Fermionic Projector of the Vacuum
    By Felix Finster (Regensburg U.).
    Published in:J.Math.Phys.49:032304,2008 (arXiv: math-ph/0612003)
    [4 Total citations in HEP]
  34. 4
    Massive partition functions and complex eigenvalue correlations in matrix models with symplectic symmetry
    By G. Akemann (Brunel U.), F. Basile (Brunel U. & Pisa U. & INFN, Pisa).
    Published in:Nucl.Phys.B766:150-177,2007 (arXiv: math-ph/0606060)
    [4 Total citations in HEP]
  35. 4
    Minimalist translation-invariant non-commutative scalar field theory
    By Harald Grosse, Fabien Vignes-Tourneret (Vienna U.).
    HEP Record (arXiv:0803.1035 [math-ph])
    [4 Total citations in HEP]
  36. 4
    Nonholonomic Ricci flows. V. Parametric deformations of solitonic pp-waves and Schwarzschild solutions
    By Sergiu I. Vacaru (Fields Inst., Toronto).
    HEP Record (arXiv:0705.0729 [math-ph])
    [4 Total citations in HEP]
  37. 4
    All orders asymptotic expansion of large partitions
    By Bertrand Eynard (Saclay, SPht).
    Published in:J.Stat.Mech.0807:P07023,2008 (arXiv:0804.0381 [math-ph])
    [4 Total citations in HEP]
  38. 4
    Ricci flow deformation of cosmological initial data sets
    By Mauro Carfora (Pavia U. & INFN, Pavia), Thomas Buchert (Lyon Observ.).
    HEP Record (arXiv:0801.0553 [math-ph])
    [4 Total citations in HEP]
  39. 3
    Non-linear Supersymmetry for non-Hermitian, non-diagonalizable Hamiltonians. II. Rigorous results
    By A.V. Sokolov (St. Petersburg State U.).
    Published in:Nucl.Phys.B773:137-171,2007 (arXiv: math-ph/0610022)
    [3 Total citations in HEP]
  40. 3
    BRST operators for W algebras
    By A.P. Isaev, S.O. Krivonos (Dubna, JINR), O.V. Ogievetsky (Marseille, CPT & Lebedev Inst.).
    Published in:J.Math.Phys.49:073512,2008 (arXiv:0802.3781 [math-ph])
    [3 Total citations in HEP]
  41. 3
    Fedosov quantization of Lagrange-Finsler and Hamilton-Cartan spaces and Einstein gravity lifts on (co) tangent bundles
    By Mihai Anastasiei (Cuza U., Iasi & Math.Inst., Iasi), Sergiu I. Vacaru (Fields Inst., Toronto).
    Published in:J.Math.Phys.50:013510,2009 (arXiv:0710.3079 [math-ph])
    [3 Total citations in HEP]
  42. 3
    Remarks on the Friedman equations
    By Robert Carroll (Illinois U., Urbana).
    HEP Record (arXiv:0712.3251 [math-ph])
    [3 Total citations in HEP]
  43. 3
    A sharpened nuclearity condition and the uniqueness of the vacuum in QFT
    By Wojciech Dybalski (Gottingen U.).
    Published in:Commun.Math.Phys.283:523-542,2008 (arXiv:0706.4049 [math-ph])
    [3 Total citations in HEP]
  44. 3
    Scaling algebras and pointlike fields: A Nonperturbative approach to renormalization
    By Henning Bostelmann (Rome U., La Sapienza, Dip. di Matematica), Claudio D'Antoni (Rome U.,Tor Vergata), Gerardo Morsella (Pisa, Scuola Normale Superiore).
    Published in:Commun.Math.Phys.285:763-798,2009 (arXiv:0711.4237 [math-ph])
    [3 Total citations in HEP]
  45. 3
    Andrews-Gordon identities from combinations of Virasoro characters
    By Boris Feigin (Landau Inst.), Omar Foda (Melbourne U.), Trevor Welsh (Southampton U.).
    Published in:Ramanujan J.17:33-52,2008 (arXiv: math-ph/0504014)
    [3 Total citations in HEP]
  46. 3
    A Complete Renormalization Group Trajectory Between Two Fixed Points
    By Abdelmalek Abdesselam (Paris, U. XIII, Math. Dept.).
    Published in:Commun.Math.Phys.276:727-772,2007 (arXiv: math-ph/0610018)
    [3 Total citations in HEP]
  47. 3
    From Dirac spinor fields to ELKO
    By Roldao da Rocha (ABC Federal U. & Campinas State U.), Julio M. Hoff da Silva (Sao Paulo, IFT).
    Published in:J.Math.Phys.48:123517,2007 (arXiv:0711.1103 [math-ph])
    [3 Total citations in HEP]
  48. 3
    Algebraic and geometric structures of special relativity
    By Domenico Giulini (Freiburg U.).
    Published in:Lect.Notes Phys.702:45-111,2006 (arXiv: math-ph/0602018)
    [3 Total citations in HEP]
  49. 3
    The Dirac Equation in Kerr-Newman-AdS Black Hole Background
    By Francesco Belgiorno (Milan U.), Sergio L. Cacciatori (Insubria U., Como).
    HEP Record (arXiv:0803.2496 [math-ph])
    [3 Total citations in HEP]
  50. 3
    Non-linear Supersymmetry for non-Hermitian, non-diagonalizable Hamiltonians. I. General properties
    By A.A. Andrianov (St. Petersburg State U. & Bologna U. & INFN, Bologna), F. Cannata (Bologna U. & INFN, Bologna), A.V. Sokolov (St. Petersburg State U.).
    Published in:Nucl.Phys.B773:107-136,2007 (arXiv: math-ph/0610024)
    [3 Total citations in HEP]
  51. 3
    The Geometry of thermodynamics
    By Hernando Quevedo (Mexico U., ICN), Alejandro Vazquez (Morelos State U.).
    Published in:AIP Conf.Proc.977:165-172,2008 (arXiv:0712.0868 [math-ph])
    [3 Total citations in HEP]
  52. 3
    Deflated Iterative Methods for Linear Equations with Multiple Right-Hand Sides
    By Ronald B. Morgan (Baylor U., Math. Dept.), Walter Wilcox (Baylor U.).
    HEP Record (arXiv:0707.0505 [math-ph])
    [3 Total citations in HEP]
  53. 3
    H = xp with interaction and the Riemann zeros
    By German Sierra (Madrid, IFT).
    Published in:Nucl.Phys.B776:327-364,2007 (arXiv: math-ph/0702034)
    [3 Total citations in HEP]
  54. 3
    Nonholonomic Ricci Flows. IV. Geometric Methods, Exact Solutions and Gravity
    By Sergiu I. Vacaru (Fields Inst., Toronto).
    HEP Record (arXiv:0705.0728 [math-ph])
    [3 Total citations in HEP]
  55. 3
    The Dirac system on the anti-de Sitter universe
    By Alain Bachelot (Bordeaux U.).
    Published in:Commun.Math.Phys.283:127-167,2008 (arXiv:0706.1315 [math-ph])
    [3 Total citations in HEP]
  56. 3
    Symbolic summation and higher orders in perturbation theory
    By S. Moch (DESY, Zeuthen).
    Published in:Nucl.Instrum.Meth.A559:285-288,2006 (arXiv: math-ph/0509058)
    [3 Total citations in HEP]
  57. 3
    Towards Relativistic Atomic Physics. I. The Rest-Frame Instant Form of Dynamics and a Canonical Transformation for a System of Charged Particles plus the Electro-Magnetic Field
    By David Alba (Florence U.), Horace Crater (Tennessee U., Tullahoma), Luca Lusanna (INFN, Florence).
    HEP Record (arXiv:0806.2383 [math-ph])
    [3 Total citations in HEP]
  58. 3
    The Local structure of n Poisson and n Jacobi manifolds
    By G. Marmo (Naples U. & INFN, Naples), G. Vilasi, A.M. Vinogradov (Salerno U. & INFN, Salerno).
    Published in:J.Geom.Phys.25:141-182,1998 (arXiv: physics/9709046)
    [3 Total citations in HEP]
  59. 3
    Exact solutions of the equations of relativistic hydrodynamics representing potential flows
    By Maxim S. Borshch, Valery I. Zhdanov (Taras Shevchenko U.).
    Published in:SIGMA 3:116,2007 (arXiv:0709.1053 [math-ph])
    [3 Total citations in HEP]
  60. 3
    Quantization of Contact Manifolds and Thermodynamics
    By S.G. Rajeev (Rochester U.).
    Published in:Annals Phys.323:768-782,2008 (arXiv: math-ph/0703061)
    [3 Total citations in HEP]
  61. 3
    Renormalization of the regularized relativistic electron positron field
    By Elliott H. Lieb (Princeton U., Plasma Physics Lab.), H. Siedentop (Regensburg U.).
    Published in:Commun.Math.Phys.213:673-683,2000 (arXiv: math-ph/0003001)
    [3 Total citations in HEP]
  62. 3
    The Quantum harmonic oscillator on the sphere and the hyperbolic plane
    By Jose F. Carinena, Manuel F. Ranada (Zaragoza U.), Mariano Santander (Valladolid U.).
    Published in:Annals Phys.322:2249,2007 (arXiv:0709.0399 [math-ph])
    [3 Total citations in HEP]