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Topic · Mathematical Physics

Stochastic processes and statistical mechanics

Stochastic processes and statistical mechanics is a research topic within Mathematical Physics. Science Explorer counts 26k research works in it since 1950. 10.0% of them reached the world's top 10% most cited for their field and year.

This cluster of papers explores the scaling limits, conformal invariance, and nonequilibrium statistical mechanics of interacting particle systems, including random walks, percolation models, coalescent processes, and branching processes. It also delves into the properties of Gaussian free fields and stochastic Loewner evolution.

  • Scaling Limits
  • Interacting Particle Systems
  • Conformal Invariance
  • Nonequilibrium Statistical Mechanics
  • Random Walks
  • Percolation Models
  • Coalescent Processes
  • Gaussian Free Fields
  • Branching Processes
  • Stochastic Loewner Evolution
Research works
26k
fractional, since 1950
In the world top 10%
2.6k
per year above
Top-10% rate
10.0%
share of its works in the world top 10%
Growth, 2018-21 → 2022-25
+6%
the tick is no change
Largest producer
United States
24% of the 10 largest, 2022-now
Stochastic processes and statistical mechanics

Which countries lead Stochastic processes and statistical mechanics research?

By volume, the United States and China publish the most (513 and 424 works in 2022-now).

By volume, 2022-now

  1. 1 United States 513 works
  2. 2 China 424 works
  3. 3 France 349 works
  4. 4 United Kingdom 183 works
  5. 5 Germany 171 works
  6. 6 Russia 121 works
  7. 7 Japan 108 works
  8. 8 Italy 99 works
  9. 9 India 95 works
  10. 10 Canada 76 works

How concentrated that is

The same countries as shares of everything the list above accounts for. A node where two countries do two thirds of the work and one spread evenly across twelve read alike as a ranking and not at all alike here.

United States: 24.0%China: 19.8%France: 16.3%United Kingdom: 8.5%6 others listed: 31.3%24%largest
United States513 · 24.0%China424 · 19.8%France349 · 16.3%United Kingdom183 · 8.5%6 others listed670 · 31.3%

Shares of the rows listed above, not of the whole node.

Which institutions lead Stochastic processes and statistical mechanics research?

By volume in 2022-now, Centre National de la Recherche Scientifique publishes the most Stochastic processes and statistical mechanics research, followed by Russian Academy of Sciences and Beijing Normal University.

By volume, 2022-now

  1. 1 Centre National de la Recherche ScientifiqueFrance 157 works
  2. 2 Russian Academy of SciencesRussia 57 works
  3. 3 Beijing Normal UniversityChina 26 works
  4. 4 New York UniversityUnited States 25 works
  5. 5 University of WarwickUnited Kingdom 24 works
  6. 6 Université Paris-SaclayFrance 20 works
  7. 7 University of CambridgeUnited Kingdom 19 works
  8. 8 Sorbonne UniversitéFrance 19 works
  9. 9 Massachusetts Institute of TechnologyUnited States 18 works
  10. 10 University of OxfordUnited Kingdom 18 works

Who are the leading researchers in Stochastic processes and statistical mechanics?

The most-cited researchers publishing on Stochastic processes and statistical mechanics include Xiaogang Wang, Albert-Ĺaszló Barabási and Sw. Banerjee.

  1. 1 Xiaogang Wang China 260k citations
  2. 2 Albert-Ĺaszló Barabási United States 223k citations
  3. 3 Sw. Banerjee France 199k citations
  4. 4 Harry Eugene Stanley United States 198k citations

Ranked by citations received across their whole record, among researchers with at least three works on this topic.

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).

Most cited papers
#PaperReleasedCitations
1 CONFIDENCE LIMITS ON PHYLOGENIES: AN APPROACH USING THE BOOTSTRAP Joseph Felsenstein · Evolution Open access 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 Open access 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
All 100 most cited papers, with filters and sorting

Where is Stochastic processes and statistical mechanics research done?

The largest centres of Stochastic processes and statistical mechanics research in 2022-now are Paris (France), Beijing (China), Moscow (Russia) and New York (United States). Among places with at least 20 works in it, it is an unusually large share of all research in Coventry and Gif-sur-Yvette.

Largest cities, 2022-now

  1. 1 ParisFrance 136 works
  2. 2 BeijingChina 88 works
  3. 3 MoscowRussia 70 works
  4. 4 New YorkUnited States 47 works
  5. 5 TokyoJapan 41 works
  6. 6 LondonUnited Kingdom 37 works
  7. 7 ShanghaiChina 35 works
  8. 8 RomeItaly 30 works
  9. 9 CoventryUnited Kingdom 26 works
  10. 10 ViennaAustria 25 works

Where it is the local speciality

  1. CoventryGB · 25.6 works14×
  2. Gif-sur-YvetteFR · 24.1 works13×
← less than its size predicts1×more →

Location quotient: how much more of its research is in Stochastic processes and statistical mechanics than the world average.

See Stochastic processes and statistical mechanics on the map

Where is the best place to study Stochastic processes and statistical mechanics?

Among universities, judged by research, University of Warwick, Massachusetts Institute of Technology and Sorbonne Université score highest, combining excellence, specialisation, size, growth and international reach. Research strength is one signal when choosing where to study; it does not measure teaching.

0%20%40%mean 19.24%fractional works in this field (log) →share of work in the world top 10% →Columbia UniversityMassachusetts Instit…Sorbonne UniversitéUniversity of Warwick
above the meannear itbelow it

One dot per university in the first ten of the table below, at the default weights. The upper left is the interesting corner: small places doing unusually strong work.

Excellenceshare of its work in the world top 10%, 2022-now and all time averaged
40%
Specialisationhow much of its work is in this field, counted up to 10× the world share
10%
Sizeits output in this field, on a log scale
30%
Growthoutput growth, counted from -20% to +20%
10%
Internationalshare of its work with a co-author abroad
10%
Each slider sets a weight; the share it gets of the score is beside it.
#UniversityScoreTop 10%SpecialisationWorksGrowth
1University of WarwickUnited Kingdom 69.212.1%20.9×24 +78.0%
2Massachusetts Institute of TechnologyUnited States 68.622.6%10.2×18 +65.7%
3Sorbonne UniversitéFrance 68.519.1%10.9×19 +15.8%
4Columbia UniversityUnited States 67.827.3%6.4×18 +31.0%
5New York UniversityUnited States 64.213.7%8.7×25 -5.4%
6University of UtahUnited States 63.745.9%5.8×10 +31.0%
7Université Paris-SaclayFrance 62.58.5%12.4×20 +59.8%
8Université Paris Sciences et LettresFrance 61.520.7%15.9×15 -9.3%
9Beijing Normal UniversityChina 58.55.4%12.9×26 +50.3%
10University of OxfordUnited Kingdom 56.417.1%5.0×18 -4.6%

Universities only. The score blends excellence (40%), size (30%), specialisation (10%), growth (10%), international reach (10%), 2022-now; growth compares 2018-21 with 2022-25 and counts up to +20%, since a jump from a small base is mostly noise.

Every institution in Stochastic processes and statistical mechanics, country by country

Is Stochastic processes and statistical mechanics research growing?

Output in 2022-2025 was 6% higher than in 2018-2021, peaking in 2014. The fastest-growing topics are Stochastic processes and statistical mechanics.

still counting19801990200020102020
grewheldshrank

The same series as a ribbon: one cell per year, darker for more. The line above answers how much; this answers when.

Its share of all research

Growing output can still be a shrinking share: all of science grows. This is Stochastic processes and statistical mechanics as a percentage of every work published that year, 0.012% in 2024.

still counting0.025%0.050%0.075%Stochastic processes and statistical mechanics0.010% in 202519801990200020102020

Fractional works of Stochastic processes and statistical mechanics over all fractional works that year. How the balance of science has shifted.

How much of it reaches the world top 10%

Year by year.

still counting5%10%15%Stochastic processes and statistical mechanics9.7% in 2025200020102020

Of each year's works in it, the share that reached the world's 10% most cited for their field and year. A field is the world for its own topics, so there is no other line to hold it against.

Which topics inside it are moving

Growth and decline on one axis around a shared zero. Two lists side by side hide the thing that matters: whether the growth dwarfs the decline, or the other way round.

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