Top Cited Articles during 2002 in math-ph

Top Cited Articles during 2002 in math-ph

The 50 most highly cited papers during 2002 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 Fri 16-Feb-2007. 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. 55
    New features of FORM
    By J.A.M. Vermaseren (NIKHEF, Amsterdam).
    HEP Record [arXiv: math-ph/0010025]
    [354 Total citations in HEP]
  2. 17
    sl(2, C) as a complex Lie algebra and the associated nonHermitian Hamiltonians with real eigenvalues
    By B. Bagchi (Calcutta U., Dept. Appl. Math.), C. Quesne (Brussels U., PNTPM).
    Published in:Phys.Lett.A273:285-292,2000 [arXiv: math-ph/0008020]
    [54 Total citations in HEP]
  3. 14
    PseudoHermiticity versus PT symmetry 2. A Complete characterization of nonHermitian Hamiltonians with a real spectrum
    By Ali Mostafazadeh (Koc U.).
    Published in:J.Math.Phys.43:2814-2816,2002 [arXiv: math-ph/0110016]
    [60 Total citations in HEP]
  4. 12
    PseudoHermiticity versus PT symmetry 3: Equivalence of pseudoHermiticity and the presence of antilinear symmetries
    By Ali Mostafazadeh (Koc U.).
    Published in:J.Math.Phys.43:3944-3951,2002 [arXiv: math-ph/0203005]
    [51 Total citations in HEP]
  5. 12
    Microlocal analysis and interacting quantum field theories: Renormalization on physical backgrounds
    By Romeo Brunetti, Klaus Fredenhagen (Hamburg U.).
    Published in:Commun.Math.Phys.208:623-661,2000 [arXiv: math-ph/9903028]
    [75 Total citations in HEP]
  6. 10
    Symbolic expansion of transcendental functions
    By Stefan Weinzierl (Parma U. & INFN, Parma).
    Published in:Comput.Phys.Commun.145:357-370,2002 [arXiv: math-ph/0201011]
    [39 Total citations in HEP]
  7. 10
    Pseudosupersymmetric quantum mechanics and isospectral pseudoHermitian Hamiltonians
    By Ali Mostafazadeh (Koc U.).
    Published in:Nucl.Phys.B640:419-434,2002 [arXiv: math-ph/0203041]
    [47 Total citations in HEP]
  8. 9
    Quantum geometry in action: Big bang and black holes
    By Abhay Ashtekar (Penn State U.).
    HEP Record [arXiv: math-ph/0202008]
    [20 Total citations in HEP]
  9. 8
    NonHermitian Hamiltonians with real and complex eigenvalues in a Lie algebraic framework
    By B. Bagchi (Calcutta U.), C. Quesne (Brussels U.).
    Published in:Phys.Lett.A300:18-26,2002 [arXiv: math-ph/0205002]
    [31 Total citations in HEP]
  10. 8
    Conservation of pseudo-norm in PT symmetric quantum mechanics
    By M. Znojil (Rez, Nucl. Phys. Inst.).
    HEP Record [arXiv: math-ph/0104012]
    [29 Total citations in HEP]
  11. 8
    Negative moments of characteristic polynomials of random matrices: Ingham-Siegel integral as an alternative to Hubbard-Stratonovich transformation
    By Yan V. Fyodorov (Brunel U.).
    Published in:Nucl.Phys.B621:643-674,2002 [arXiv: math-ph/0106006]
    [21 Total citations in HEP]
  12. 6
    An Exact formula for general spectral correlation function of random Hermitian matrices
    By Yan V Fyodorov, Eugene Strahov (Brunel U.).
    Published in:J.Phys.A36:3203-3214,2003 [arXiv: math-ph/0204051]
    [18 Total citations in HEP]
  13. 6
    On blowup for Yang-Mills fields
    By P. Bizon (Potsdam, Max Planck Inst. & Jagiellonian U.), Z. Tabor (Jagiellonian U.).
    Published in:Phys.Rev.D64:121701,2001 [arXiv: math-ph/0105016]
    [12 Total citations in HEP]
  14. 5
    Branching rules of semisimple Lie algebras using affine extensions
    By Thomas Quella (Potsdam, Max Planck Inst.).
    Published in:J.Phys.A35:3743-3754,2002 [arXiv: math-ph/0111020]
    [9 Total citations in HEP]
  15. 5
    Microlocal analysis of quantum fields on curved space-times: Analytic wavefront sets and Reeh-Schlieder theorems
    By Alexander Strohmaier (Leipzig U.), Rainer Verch (Gottingen U.), Manfred Wollenberg (Leipzig U.).
    Published in:J.Math.Phys.43:5514-5530,2002 [arXiv: math-ph/0202003]
    [12 Total citations in HEP]
  16. 5
    The Generally covariant locality principle: A New paradigm for local quantum field theory
    By Romeo Brunetti (Naples U. & INFN, Naples), Klaus Fredenhagen (Hamburg U., Inst. Theor. Phys. II), Rainer Verch (Gottingen U.).
    Published in:Commun.Math.Phys.237:31-68,2003 [arXiv: math-ph/0112041]
    [50 Total citations in HEP]
  17. 5
    Geometry of multisymplectic Hamiltonian first order field theories
    By Arturo Echeverria-Enriquez, Miguel C. Munoz-Lecanda, Narciso Roman-Roy (Barcelona U.).
    Published in:J.Math.Phys.41:7402-7444,2000 [arXiv: math-ph/0004005]
    [16 Total citations in HEP]
  18. 5
    Geometric modular action and space-time symmetry groups
    By Detlev Buchholz (Gottingen U.), Olaf Dreyer (Penn State U.), Martin Florig, Stephen J. Summers (Florida U.).
    Published in:Rev.Math.Phys.12:475-560,2000 [arXiv: math-ph/9805026]
    [29 Total citations in HEP]
  19. 5
    Combinatorics of nonAbelian gerbes with connection and curvature
    By Romain Attal (Paris U., VI-VII).
    Published in:Annales Fond.Broglie 29:609-634,2004 [arXiv: math-ph/0203056]
    [13 Total citations in HEP]
  20. 5
    Characteristic polynomials of random Hermitian matrices and Duistermaat-Heckman localization on noncompact Kahler manifolds
    By Yan V. Fyodorov, Eugene Strahov (Brunel U.).
    Published in:Nucl.Phys.B630:453-491,2002 [arXiv: math-ph/0201045]
    [7 Total citations in HEP]
  21. 5
    Fundamental automorphisms of Clifford algebras and an extension of Dabrowski pin groups
    By Vadim V. Varlamov (Siberia St. U. Industry).
    Published in:Hadronic J.22:497-533,1999 [arXiv: math-ph/9904038]
    [8 Total citations in HEP]
  22. 4
    Invariance properties of induced Fock measures for U(1) holonomies
    By J.M. Velhinho (Beira Interior U., Covilha).
    Published in:Commun.Math.Phys.227:541-550,2002 [arXiv: math-ph/0107002]
    [13 Total citations in HEP]
  23. 4
    Conjecture on the interlacing of zeros in complex Sturm-Liouville problems
    By Carl M. Bender (Washington U., St. Louis), Stefan Boettcher (Emory U.), Van M. Savage (Washington U., St. Louis).
    Published in:J.Math.Phys.41:6381,2000 [arXiv: math-ph/0005012]
    [18 Total citations in HEP]
  24. 4
    Finite dimensional Hamiltonian formalism for gauge and field theories
    By Frederic Helein (Cachan, Ecole Normale Superieure), Joseph Kouneiher (Paris U., VI-VII & Saclay).
    Published in:J.Math.Phys.43:2306-2347,2002 [arXiv: math-ph/0010036]
    [15 Total citations in HEP]
  25. 4
    Jet coordinates for local BRST cohomology
    By Friedemann Brandt (Potsdam, Max Planck Inst.).
    Published in:Lett.Math.Phys.55:149-159,2001 [arXiv: math-ph/0103006]
    [23 Total citations in HEP]
  26. 4
    Multivector field formulation of Hamiltonian field theories: Equations and symmetries
    By A. Echeverria-Enriquez, M.C. Munoz-Lecanda, N. Roman-Roy (Barcelona, Polytechnic U.).
    Published in:J.Phys.A32:8461-8484,1999 [arXiv: math-ph/9907007]
    [13 Total citations in HEP]
  27. 4
    Passivity and microlocal spectrum condition
    By Hanno Sahlmann, Rainer Verch (Gottingen U.).
    Published in:Commun.Math.Phys.214:705-731,2000 [arXiv: math-ph/0002021]
    [19 Total citations in HEP]
  28. 4
    Pseudo-Hermiticity versus PT symmetry: The Structure responsible for the reality of the spectrum of a nonHermitian Hamiltonian
    By Ali Mostafazadeh (Koc U.).
    HEP Record [arXiv: math-ph/0107001]
    [19 Total citations in HEP]
  29. 4
    HCIZ integral and 2-D Toda lattice hierarchy
    By Paul Zinn-Justin (Orsay, LPTMS).
    Published in:Nucl.Phys.B634:417-432,2002 [arXiv: math-ph/0202045]
    [7 Total citations in HEP]
  30. 4
    Critical phenomena in nonlinear sigma models
    By Steven L. Liebling, Eric W. Hirschmann (Long Island U., Southampton), James Isenberg (Oregon U.).
    Published in:J.Math.Phys.41:5691-5700,2000 [arXiv: math-ph/9911020]
    [12 Total citations in HEP]
  31. 4
    A Quantum weak energy inequality for Dirac fields in curved space-time
    By Christopher J Fewster (York U., England), Rainer Verch (Gottingen U.).
    Published in:Commun.Math.Phys.225:331-359,2002 [arXiv: math-ph/0105027]
    [19 Total citations in HEP]
  32. 4
    On the reality of the eigenvalues for a class of PT symmetric oscillators
    By K.C. Shin (Illinois U., Urbana, Math. Dept.).
    Published in:Commun.Math.Phys.229:543-564,2002 [arXiv: math-ph/0201013]
    [26 Total citations in HEP]
  33. 4
    The Poisson bracket for Poisson forms in multisymplectic field theory
    By Michael Forger (Sao Paulo U., FFCLRP), Cornelius Paufler, Hartmann Roemer (Freiburg U.).
    Published in:Rev.Math.Phys.15:705-744,2003 [arXiv: math-ph/0202043]
    [13 Total citations in HEP]
  34. 3
    Beta boundedness, semipassivity, and the KMS condition
    By Bernd Kuckert (Amsterdam U., Inst. Math.).
    Published in:Commun.Math.Phys.229:369-374,2002 [arXiv: math-ph/0111037]
    [3 Total citations in HEP]
  35. 3
    Projective modules of finite type and monopoles over S**2
    By Giovanni Landi (Trieste U. & INFN, Naples).
    Published in:J.Geom.Phys.37:47-62,2001 [arXiv: math-ph/9905014]
    [22 Total citations in HEP]
  36. 3
    On some integrals over the U(N) unitary group and their large N limit
    By Paul Zinn-Justin (Orsay, LPTMS), J.B. Zuber (Saclay).
    Published in:J.Phys.A36:3173-3194,2003 [arXiv: math-ph/0209019]
    [15 Total citations in HEP]
  37. 3
    Lectures on conformal invariance and percolation
    By John L. Cardy (Oxford U.).
    HEP Record [arXiv: math-ph/0103018]
    [12 Total citations in HEP]
  38. 3
    A spin statistics theorem for quantum fields on curved space-time manifolds in a generally covariant framework
    By Rainer Verch (Gottingen U.).
    Published in:Commun.Math.Phys.223:261-288,2001 [arXiv: math-ph/0102035]
    [15 Total citations in HEP]
  39. 3
    Extensions of diffeomorphism and current algebras
    By T.A. Larsson.
    HEP Record [arXiv: math-ph/0002016]
    [5 Total citations in HEP]
  40. 3
    Covariant Hamiltonian formalism for the calculus of variations with several variables
    By Frederic Helein (Cachan, Ecole Normale Superieure), Joseph Kouneiher (Paris U., VI-VII & Saclay).
    Published in:Adv.Theor.Math.Phys.8:565-601,2004 [arXiv: math-ph/0211046]
    [8 Total citations in HEP]
  41. 3
    Geometry of Hamiltonian N vectors in multisymplectic field theory
    By Cornelius Paufler, Hartmann Romer (Freiburg U.).
    Published in:J.Geom.Phys.44:52-69,2002 [arXiv: math-ph/0102008]
    [7 Total citations in HEP]
  42. 3
    On a multisymplectic formulation of the classical BRST symmetry for first order field theories. Part 1. Algebraic structures
    By S.P. Hrabak (King's Coll. London).
    HEP Record [arXiv: math-ph/9901012]
    [16 Total citations in HEP]
  43. 3
    On noncommutative and semiRiemannian geometry
    By Alexander Strohmaier (Leipzig U.).
    Published in:J.Geom.Phys.56:175-195,2006 [arXiv: math-ph/0110001]
    [14 Total citations in HEP]
  44. 3
    Projective modules of finite type over the supersphere S(2,2)
    By Giovanni Landi (Trieste U. & INFN, Naples).
    Published in:Differ.Geom.Appl.14:95-111,2001 [arXiv: math-ph/9907020]
    [14 Total citations in HEP]
  45. 3
    Differential geometry of group lattices
    By Aristophanes Dimakis (Aegean U., Chios), Folkert Mueller-Hoissen (Gottingen, Max Planck Inst.).
    Published in:J.Math.Phys.44:1781-1821,2003 [arXiv: math-ph/0207014]
    [6 Total citations in HEP]
  46. 3
    Further representations of the canonical commutation relations
    By Martin Florig, Stephen J. Summers (Florida U.).
    Published in:Proc.Lond.Math.Soc.80:451-490,2000 [arXiv: math-ph/0006011]
    [5 Total citations in HEP]
  47. 3
    Charged sectors, spin and statistics in quantum field theory on curved space-times
    By D. Guido (Basilicata U., Potenza), R. Longo, J.E. Roberts (Rome U.,Tor Vergata), R. Verch (Gottingen U.).
    Published in:Rev.Math.Phys.13:125-198,2001 [arXiv: math-ph/9906019]
    [22 Total citations in HEP]
  48. 3
    Partial ordering of gauge orbit types for SU(n) gauge theories
    By Gerd Rudolph, Matthias Schmidt (Leipzig U.), Igor P. Volobuev (Moscow State U.).
    Published in:J.Geom.Phys.42:106-138,2002 [arXiv: math-ph/0009018]
    [5 Total citations in HEP]
  49. 3
    Wishart and anti-Wishart random matrices
    By Romuald A. Janik (Bohr Inst. & Jagiellonian U.), Maciej A. Nowak (Jagiellonian U.).
    Published in:J.Phys.A36:3629-3638,2003 [arXiv: math-ph/0112017]
    [7 Total citations in HEP]
  50. 3
    On the pseudoHermiticity of general PT symmetric standard Hamiltonians in one-dimension
    By Ali Mostafazadeh (Koc U.).
    HEP Record [arXiv: math-ph/0204013]
    [4 Total citations in HEP]
  51. 3
    Algebraic quantum field theory: A Status report
    By Detlev Buchholz (Gottingen U.).
    HEP Record [arXiv: math-ph/0011044]
    [13 Total citations in HEP]
  52. 3
    On a multisymplectic formulation of the classical BRST symmetry for first order field theories. Part 2. Geometric structures
    By S.P. Hrabak (King's Coll. London).
    HEP Record [arXiv: math-ph/9901013]
    [15 Total citations in HEP]
  53. 3
    PseudoHermiticity and generalized PT and CPT symmetries
    By Ali Mostafazadeh (Koc U.).
    Published in:J.Math.Phys.44:974-989,2003 [arXiv: math-ph/0209018]
    [36 Total citations in HEP]