Science Explorer Back to mapMap
Discussion
Topic · Finance

Stochastic processes and financial applications

Stochastic processes and financial applications is a research topic within Finance. Science Explorer counts 39k 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 focuses on the theory and applications of option pricing models, including topics such as stochastic calculus, jump diffusion, volatility modeling, mean field games, term structure models, risk premia, Monte Carlo simulation, and market microstructure noise in the context of financial economics.

  • Option Pricing
  • Stochastic Calculus
  • Jump Diffusion
  • Volatility Modeling
  • Mean Field Games
  • Term Structure Models
  • Risk Premia
  • Monte Carlo Simulation
  • Market Microstructure Noise
  • Financial Economics
Research works
39k
fractional, since 1950
In the world top 10%
3.9k
per year above
Top-10% rate
10.0%
share of its works in the world top 10%
Growth, 2018-21 → 2022-25
+4%
the tick is no change
Largest producer
China
36% of the 10 largest, 2022-now
Stochastic processes and financial applications

Which countries lead Stochastic processes and financial applications research?

By volume, China and the United States publish the most (1.5k and 800 works in 2022-now).

By volume, 2022-now

  1. 1 China 1.5k works
  2. 2 United States 800 works
  3. 3 France 345 works
  4. 4 United Kingdom 298 works
  5. 5 Germany 269 works
  6. 6 Italy 241 works
  7. 7 Canada 177 works
  8. 8 Japan 171 works
  9. 9 India 160 works
  10. 10 Russia 157 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.

China: 35.9%United States: 19.6%France: 8.5%United Kingdom: 7.3%6 others listed: 28.8%36%largest
China1,466 · 35.9%United States800 · 19.6%France345 · 8.5%United Kingdom298 · 7.3%6 others listed1,174 · 28.8%

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

Which institutions lead Stochastic processes and financial applications research?

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

By volume, 2022-now

  1. 1 Centre National de la Recherche ScientifiqueFrance 126 works
  2. 2 Shandong UniversityChina 78 works
  3. 3 Russian Academy of SciencesRussia 47 works
  4. 4 Imperial College LondonUnited Kingdom 34 works
  5. 5 Chinese Academy of SciencesChina 33 works
  6. 6 University of OxfordUnited Kingdom 27 works
  7. 7 University of BolognaItaly 26 works
  8. 8 Columbia UniversityUnited States 24 works
  9. 9 New York UniversityUnited States 23 works
  10. 10 Taras Shevchenko National University of KyivUkraine 22 works

Who are the leading researchers in Stochastic processes and financial applications?

The most-cited researchers publishing on Stochastic processes and financial applications include Eugene F. Fama, Leo Breiman and Andrei Shleifer.

  1. 1 Eugene F. Fama United States 262k citations
  2. 2 Leo Breiman United States 243k citations
  3. 3 Andrei Shleifer United States 234k citations
  4. 4 Sw. Banerjee France 199k citations
  5. 5 Harry Eugene Stanley United States 198k citations
  6. 6 Bruce Leonard Miller United States 196k citations
  7. 7 Daniel A. Bloch France 190k citations
  8. 8 R. W. L. Jones United Kingdom 189k 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 financial applications?

The most cited paper in Stochastic processes and financial applications is "ON THE PRICING OF CORPORATE DEBT: THE RISK STRUCTURE OF INTEREST RATES*" (Robert C. Merton, 1974), with 11,053 citations. Next come "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options" (9,255) and "Theory of rational option pricing" (7,430).

Most cited papers
#PaperReleasedCitations
1 ON THE PRICING OF CORPORATE DEBT: THE RISK STRUCTURE OF INTEREST RATES* Robert C. Merton · The Journal of Finance Open access May 1974 11,053
2 A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options Steven L. Heston · Review of Financial Studies Apr 1993 9,255
3 Theory of rational option pricing Robert C. Merton · WORLD SCIENTIFIC eBooks Book chapter Jul 2005 7,430
4 An equilibrium characterization of the term structure Oldrich Alfons Vasicek · Journal of Financial Economics Nov 1977 6,305
5 Option pricing: A simplified approach John C. Cox, Stephen A. Ross, Mark Rubinstein · Journal of Financial Economics Sep 1979 6,227
All 100 most cited papers, with filters and sorting

Where is Stochastic processes and financial applications research done?

The largest centres of Stochastic processes and financial applications research in 2022-now are Beijing (China), Shanghai (China), Paris (France) and Jinan (China). Among places with at least 20 works in it, it is an unusually large share of all research in Bielefeld and Palaiseau.

Largest cities, 2022-now

  1. 1 BeijingChina 190 works
  2. 2 ShanghaiChina 121 works
  3. 3 ParisFrance 120 works
  4. 4 JinanChina 110 works
  5. 5 LondonUnited Kingdom 103 works
  6. 6 MoscowRussia 87 works
  7. 7 New YorkUnited States 78 works
  8. 8 NanjingChina 75 works
  9. 9 TokyoJapan 74 works
  10. 10 Hong KongChina 70 works

Where it is the local speciality

  1. BielefeldDE · 22.5 works14×
  2. PalaiseauFR · 32.2 works13×
← less than its size predicts1×more →

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

See Stochastic processes and financial applications on the map

Where is the best place to study Stochastic processes and financial applications?

Among universities, judged by research, Shandong University, Princeton University and Zhejiang University of Technology 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 21.98%fractional works in this field (log) →share of work in the world top 10% →Princeton UniversityZhejiang University …Hong Kong Polytechni…Shandong University
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
1Shandong UniversityChina 63.09.1%12.1×78 +33.1%
2Princeton UniversityUnited States 60.240.8%6.3×14 -8.5%
3Zhejiang University of TechnologyChina 59.540.0%3.5×10 +111.1%
4Hong Kong Polytechnic UniversityChina 57.415.6%5.1×22 +63.8%
5Bielefeld UniversityGermany 57.224.3%18.9×21 +41.0%
6Imperial College LondonUnited Kingdom 56.215.0%6.9×34 +12.6%
7Columbia UniversityUnited States 55.117.2%4.4×24 +69.7%
8Chinese University of Hong KongChina 54.917.5%5.8×21 +10.0%
9École PolytechniqueFrance 53.423.4%35.4×13 +9.5%
10University of OxfordUnited Kingdom 52.816.9%3.9×27 +12.6%

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 financial applications, country by country

Is Stochastic processes and financial applications research growing?

Output in 2022-2025 was 4% higher than in 2018-2021, peaking in 2013. The fastest-growing topics are Stochastic processes and financial applications.

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 financial applications as a percentage of every work published that year, 0.024% in 2024.

still counting0.020%0.040%0.060%Stochastic processes and financial applications0.022% in 202519801990200020102020

Fractional works of Stochastic processes and financial applications 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 financial applications10.2% 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.

Discussion

Ask a question or share a note about Stochastic processes and financial applications. Posts are plain text and can be reported.