Most cited papers in Stochastic processes and statistical mechanics
What are the most cited papers in Stochastic processes and statistical mechanics?
The most cited paper in Stochastic processes and statistical mechanics is "CONFIDENCE LIMITS ON PHYLOGENIES: AN APPROACH USING THE BOOTSTRAP" (Joseph Felsenstein, 1985), with 41,763 citations. Next come "Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models" (8,374) and "Dynamic Scaling of Growing Interfaces" (5,494).
Showing 50 of 100 papers. Every paper with more than 942 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | CONFIDENCE LIMITS ON PHYLOGENIES: AN APPROACH USING THE BOOTSTRAP Joseph Felsenstein · Evolution | Jul 1985 | 41,763 |
| 2 | 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 |
| 3 | Dynamic Scaling of Growing Interfaces Mehran Kardar, Giorgio Parisi, Yi-Cheng Zhang · Physical Review Letters | 3 Mar 1986 | 5,494 |
| 4 | Assortative Mixing in Networks Mark E. J. Newman · Physical Review Letters | 28 Oct 2002 | 5,121 |
| 5 | Fractal Concepts in Surface Growth Albert-Ĺaszló Barabási, Harry Eugene Stanley, Leonard M. Sander · Physics Today | Oct 1995 | 3,343 |
| 6 | An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations Desmond John Higham · SIAM Review | 2001 | 3,201 |
| 7 | On the Uniform Convergence of Relative Frequencies of Events to Their Probabilities Vladimir N. Vapnik, Alexey Ya. Chervonenkis | 2015 | 3,197 |
| 8 | Mixing patterns in networks Mark E. J. Newman · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics | 27 Feb 2003 | 3,188 |
| 9 | Statistical mechanics of cellular automata Stephen Wolfram · Reviews of Modern Physics | Jul 1983 | 3,158 |
| 10 | 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 |
| 11 | Cases in which Parsimony or Compatibility Methods will be Positively Misleading Joe Felsenstein · Systematic Biology | Dec 1978 | 2,953 |
| 12 | Introduction to Percolation Theory Robert Blanc | 1986 | 2,914 |
| 13 | The critical properties of the two-dimensional xy model J. Michael Kosterlitz · Journal of Physics C Solid State Physics | 21 Mar 1974 | 2,904 |
| 14 | Adapted solution of a backward stochastic differential equation Étienne Pardoux, Shigē Péng · Systems & Control Letters | 1990 | 2,817 |
| 15 | Random Walks on Lattices. II Elliott W. Montroll, George H. Weiss · Journal of Mathematical Physics | Feb 1965 | 2,799 |
| 16 | An Adaptive Metropolis Algorithm Heikki Haario, Eero Saksman, Johanna Tamminen · Bernoulli | Apr 2001 | 2,788 |
| 17 | Random perturbations of dynamical systems Michael Blank · Translations of mathematical monographs | 2 Apr 1997 | 2,703 |
| 18 | New Monte Carlo technique for studying phase transitions Alan M. Ferrenberg, Robert H. Swendsen · Physical Review Letters | 5 Dec 1988 | 2,686 |
| 19 | Random-Field Instability of the Ordered State of Continuous Symmetry Y. Imry, Shang-keng Ma · Physical Review Letters | 24 Nov 1975 | 2,681 |
| 20 | Optimized Monte Carlo data analysis Alan M. Ferrenberg, Robert H. Swendsen · Physical Review Letters | 18 Sep 1989 | 2,619 |
| 21 | Collective Monte Carlo Updating for Spin Systems Ulli Wolff · Physical Review Letters | 23 Jan 1989 | 2,588 |
| 22 | ON A CLASS OF SKEW DISTRIBUTION FUNCTIONS Herbert A. Simon · Biometrika | 1955 | 2,524 |
| 23 | The Theory of Branching Processes Peter E. Ney, Theodore E. Harris · Technometrics | Feb 1965 | 2,476 |
| 24 | Open, Closed, and Mixed Networks of Queues with Different Classes of Customers Forest Baskett, K. Mani Chandy, Richard R. Muntz et al. · Journal of the ACM | Apr 1975 | 2,457 |
| 25 | Resilience of the Internet to Random Breakdowns Reuven Cohen, Keren Erez, Daniel ben‐Avraham et al. · Physical Review Letters | 20 Nov 2000 | 2,419 |
| 26 | Scaling theory of percolation clusters Dietrich Stauffer · Physics Reports | Jul 1979 | 2,375 |
| 27 | Statistical Theory of the Energy Levels of Complex Systems. I Freeman J. Dyson · Journal of Mathematical Physics | 1962 | 2,314 |
| 28 | Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model T. D. Lee, Chongming Yang · Physical Review | Aug 1952 | 2,254 |
| 29 | Finite size scaling analysis of ising model block distribution functions K. Binder · The European Physical Journal B | Jun 1981 | 2,161 |
| 30 | Some generalized order-disorder transformations R. B. Potts · Mathematical Proceedings of the Cambridge Philosophical Society | 1952 | 2,155 |
| 31 | Density of states on fractals : « fractons » S. Alexander, R. Orbach · Journal de Physique Lettres | 1982 | 2,115 |
| 32 | An introduction to lattice gauge theory and spin systems John B. Kogut · Reviews of Modern Physics | Oct 1979 | 2,061 |
| 33 | Effect of random defects on the critical behaviour of Ising models A. Brooks Harris · Journal of Physics C Solid State Physics | 7 May 1974 | 2,010 |
| 34 | A Theory of Cooperative Phenomena Ryoichi Kikuchi · Physical Review | 15 Mar 1951 | 1,950 |
| 35 | Percolation and cluster distribution. I. Cluster multiple labeling technique and critical concentration algorithm Joseph Hoshen, R. Kopelman · Physical review. B, Solid state | 15 Oct 1976 | 1,935 |
| 36 | Probability and computing: randomized algorithms and probabilistic analysis Michael Mitzenmacher, Eli Upfal · CERN Document Server (European Organization for Nuclear Research) | 2005 | 1,914 |
| 37 | Diffusion-limited aggregation Thomas A. Witten, Leonard M. Sander · Physical review. B, Condensed matter | May 1983 | 1,863 |
| 38 | Simulated Tempering: A New Monte Carlo Scheme Enzo Marinari, Giorgio Parisi · Europhysics Letters (EPL) | 15 Jul 1992 | 1,857 |
| 39 | Statistical Physics of Vehicular Traffic and Some Related Systems Debashish Chowdhury, Ludger Santen, Andreas Schadschneider | 2000 | 1,829 |
| 40 | Diffusion in disordered media Shlomo Havlin, Daniel ben‐Avraham · Advances In Physics | 1987 | 1,812 |
| 41 | Stochastic geometry and random graphs for the analysis and design of wireless networks Martin Haenggi, Jeffrey G. Andrews, François Baccelli et al. · IEEE Journal on Selected Areas in Communications | Sep 2009 | 1,810 |
| 42 | Non-equilibrium critical phenomena and phase transitions into absorbing states Haye Hinrichsen · Advances In Physics | Nov 2000 | 1,762 |
| 43 | Weak convergence and optimal scaling of random walk Metropolis algorithms Gareth O. Roberts, Susan A. Gelman, Walter R. Gilks · The Annals of Applied Probability | Feb 1997 | 1,748 |
| 44 | Partition function of the Eight-Vertex lattice model R. J. Baxter · Annals of Physics | Mar 1972 | 1,742 |
| 45 | Spin glasses and the statistical mechanics of protein folding. Joseph D. Bryngelson, Peter Guy Wolynes · Proceedings of the National Academy of Sciences | Nov 1987 | 1,671 |
| 46 | Critical Exponents in 3.99 Dimensions Kenneth G. Wilson, Michael Ellis Fisher · Physical Review Letters | 24 Jan 1972 | 1,660 |
| 47 | Formation of Fractal Clusters and Networks by Irreversible Diffusion-Limited Aggregation Paul Meakin · Physical Review Letters | 26 Sep 1983 | 1,639 |
| 48 | Multicanonical ensemble: A new approach to simulate first-order phase transitions Bernd A. Berg, Thomas Neuhaus · Physical Review Letters | 6 Jan 1992 | 1,596 |
| 49 | Nonanalytic Behavior Above the Critical Point in a Random Ising Ferromagnet Robert B. Griffiths · Physical Review Letters | 7 Jul 1969 | 1,595 |
| 50 | DRAM: Efficient adaptive MCMC Heikki Haario, Marko Laine, Antonietta Mira et al. · Statistics and Computing | 12 Oct 2006 | 1,569 |
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.