Subfield · Mathematical Physics
Most cited papers in Mathematical Physics
What are the most cited papers in Mathematical Physics?
The most cited paper in Mathematical Physics is "CONFIDENCE LIMITS ON PHYLOGENIES: AN APPROACH USING THE BOOTSTRAP" (Joseph Felsenstein, 1985), with 41,763 citations. Next come "A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems" (12,347) and "Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models" (8,374).
Showing 50 of 100 papers. Every paper with more than 1,866 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | CONFIDENCE LIMITS ON PHYLOGENIES: AN APPROACH USING THE BOOTSTRAP Joseph Felsenstein · Evolution | Jul 1985 | 41,763 |
| 2 | A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems Amir Beck, Marc Teboulle · SIAM Journal on Imaging Sciences | 2009 | 12,347 |
| 3 | Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models N. David Mermin, Hermann‐Josef Wagner · Physical Review Letters | 28 Nov 1966 | 8,374 |
| 4 | On the generators of quantum dynamical semigroups Göran Lindblad · Communications in Mathematical Physics | Jun 1976 | 7,738 |
| 5 | Measuring the strangeness of strange attractors Peter Grassberger, Itamar Procaccia · Physica D Nonlinear Phenomena | Oct 1983 | 5,689 |
| 6 | Dynamic Scaling of Growing Interfaces Mehran Kardar, Giorgio Parisi, Yi-Cheng Zhang · Physical Review Letters | 3 Mar 1986 | 5,494 |
| 7 | Assortative Mixing in Networks Mark E. J. Newman · Physical Review Letters | 28 Oct 2002 | 5,121 |
| 8 | An iterative thresholding algorithm for linear inverse problems with a sparsity constraint Ingrid Daubechies, Michel Defrise, Christine De Mol · Communications on Pure and Applied Mathematics | 26 Aug 2004 | 5,044 |
| 9 | Ergodic theory of chaos and strange attractors Jean‐Pierre Eckmann, David Pierre Ruelle · Reviews of Modern Physics | Jul 1985 | 4,989 |
| 10 | Quantum field theory and the Jones polynomial Edward H. Witten · Communications in Mathematical Physics | Sep 1989 | 4,977 |
| 11 | Function minimization by conjugate gradients Roger Fletcher · The Computer Journal | Feb 1964 | 4,962 |
| 12 | Unpaired Majorana fermions in quantum wires A Yu Kitaev · Physics-Uspekhi | Oct 2001 | 4,840 |
| 13 | A First-Order Primal-Dual Algorithm for Convex Problems with Applications to Imaging Antonin Chambolle, Thomas Pock · Journal of Mathematical Imaging and Vision | 20 Dec 2010 | 4,454 |
| 14 | Hitchhikerʼs guide to the fractional Sobolev spaces Eleonora Di Nezza, Giampiero Palatucci, Enrico Valdinoci · Bulletin des Sciences Mathématiques | 29 Dec 2011 | 4,369 |
| 15 | Minimax Methods in Critical Point Theory with Applications to Differential Equations Paul H. Rabinowitz · Regional conference series in mathematics | Jul 1986 | 4,190 |
| 16 | An equation for continuous chaos Otto E. Rössler · Physics Letters A | Jul 1976 | 4,050 |
| 17 | Topological Vector Spaces. M. S. Ramanujan, Helmut Schaefer · American Mathematical Monthly | Mar 1967 | 3,968 |
| 18 | An integrable shallow water equation with peaked solitons Roberto Camassa, Darryl D. Holm · Physical Review Letters | 13 Sep 1993 | 3,754 |
| 19 | String theory and noncommutative geometry Nathan Seiberg, Edward Witten · Journal of High Energy Physics | 30 Sep 1999 | 3,743 |
| 20 | Separability of mixed states: necessary and sufficient conditions Michał Horodecki, Paweł Horodecki, Ryszard Horodecki · Physics Letters A | Nov 1996 | 3,678 |
| 21 | Phenomenological Lagrangians Steven Weinberg · Physica A Statistical Mechanics and its Applications | Apr 1979 | 3,370 |
| 22 | Fractal Concepts in Surface Growth Albert-Ĺaszló Barabási, Harry Eugene Stanley, Leonard M. Sander · Physics Today | Oct 1995 | 3,343 |
| 23 | Partial differential equations of parabolic type John S. Maybee · Journal of the Franklin Institute | Jun 1965 | 3,305 |
| 24 | An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations Desmond John Higham · SIAM Review | 2001 | 3,201 |
| 25 | On the Uniform Convergence of Relative Frequencies of Events to Their Probabilities Vladimir N. Vapnik, Alexey Ya. Chervonenkis | 2015 | 3,197 |
| 26 | Mixing patterns in networks Mark E. J. Newman · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics | 27 Feb 2003 | 3,188 |
| 27 | Statistical mechanics of cellular automata Stephen Wolfram · Reviews of Modern Physics | Jul 1983 | 3,158 |
| 28 | The Use of the L-Curve in the Regularization of Discrete Ill-Posed Problems Per Christian Hansen, Dianne Prost O’Leary · SIAM Journal on Scientific Computing | Nov 1993 | 3,155 |
| 29 | Efficient, Multiple-Range Random Walk Algorithm to Calculate the Density of States Fugao Wang, David Paul Landau · Physical Review Letters | 5 Mar 2001 | 2,956 |
| 30 | Cases in which Parsimony or Compatibility Methods will be Positively Misleading Joe Felsenstein · Systematic Biology | Dec 1978 | 2,953 |
| 31 | Introduction to Percolation Theory Robert Blanc | 1986 | 2,914 |
| 32 | The critical properties of the two-dimensional xy model J. Michael Kosterlitz · Journal of Physics C Solid State Physics | 21 Mar 1974 | 2,904 |
| 33 | Hp spaces of several variables Charles Fefferman, E. M. Stein · Acta Mathematica | 1972 | 2,887 |
| 34 | On the stability of the linear mapping in Banach spaces Themistocles M. Rassias · Proceedings of the American Mathematical Society | Nov 1978 | 2,860 |
| 35 | Correlations in Space and Time and Born Approximation Scattering in Systems of Interacting Particles Léon Van Hove · Physical Review | Jul 1954 | 2,840 |
| 36 | Adapted solution of a backward stochastic differential equation Étienne Pardoux, Shigē Péng · Systems & Control Letters | 1990 | 2,817 |
| 37 | Random Walks on Lattices. II Elliott W. Montroll, George H. Weiss · Journal of Mathematical Physics | Feb 1965 | 2,799 |
| 38 | An Adaptive Metropolis Algorithm Heikki Haario, Eero Saksman, Johanna Tamminen · Bernoulli | Apr 2001 | 2,788 |
| 39 | Completely positive linear maps on complex matrices Man-Duen Choi · Linear Algebra and its Applications | Jun 1975 | 2,767 |
| 40 | A constrained regularization method for inverting data represented by linear algebraic or integral equations Stephen W. Provencher · Computer Physics Communications | Sep 1982 | 2,712 |
| 41 | Signal Recovery by Proximal Forward-Backward Splitting Patrick L. Combettes, Valérie R. Wajs · Multiscale Modeling and Simulation | 2005 | 2,708 |
| 42 | Random perturbations of dynamical systems Michael Blank · Translations of mathematical monographs | 2 Apr 1997 | 2,703 |
| 43 | New Monte Carlo technique for studying phase transitions Alan M. Ferrenberg, Robert H. Swendsen · Physical Review Letters | 5 Dec 1988 | 2,686 |
| 44 | Random-Field Instability of the Ordered State of Continuous Symmetry Y. Imry, Shang-keng Ma · Physical Review Letters | 24 Nov 1975 | 2,681 |
| 45 | Nonlinear scalar field equations, I existence of a ground state Henri Berestycki, P. L. Lions · Archive for Rational Mechanics and Analysis | Dec 1983 | 2,626 |
| 46 | Optimized Monte Carlo data analysis Alan M. Ferrenberg, Robert H. Swendsen · Physical Review Letters | 18 Sep 1989 | 2,619 |
| 47 | Doctoral Dissertation Michael Monastyrsky · Birkhäuser Boston eBooks | 1987 | 2,609 |
| 48 | Collective Monte Carlo Updating for Spin Systems Ulli Wolff · Physical Review Letters | 23 Jan 1989 | 2,588 |
| 49 | Differentiable Dynamical Systems Steve Smale | 1980 | 2,543 |
| 50 | ON A CLASS OF SKEW DISTRIBUTION FUNCTIONS Herbert A. Simon · Biometrika | 1955 | 2,524 |
Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for a field when OpenAlex files it under one of the field's topics; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.