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Topic · Applied Mathematics

Point processes and geometric inequalities

Point processes and geometric inequalities is a research topic within Applied Mathematics. Science Explorer counts 13k research works in it since 1950. 15.9% of them reached the world's top 10% most cited for their field and year.

This cluster of papers focuses on the analysis and modeling of spatial point patterns, including methods such as spatstat, design-based stereology, Lp Minkowski inequalities, and Hawkes processes. It covers topics related to convex bodies, valuations, estimation methods, and neuronal counting techniques in various scientific fields.

  • Spatstat
  • Point Processes
  • Stereology
  • Minkowski Inequalities
  • Hawkes Processes
  • Convex Bodies
  • Valuations
  • Estimation Methods
  • Neuronal Counting
  • Statistical Analysis
Research works
13k
fractional, since 1950
In the world top 10%
2k
per year above
Top-10% rate
15.9%
share of its works in the world top 10%
Growth, 2013–17 → 2018–22
-7%
the tick is no change

Which countries lead Point processes and geometric inequalities research?

By volume, the United States and China publish the most (291 and 254 works in 2022–2025).

By volume, 2022–2025

  1. 1 United States 291 works
  2. 2 China 254 works
  3. 3 France 137 works
  4. 4 Germany 127 works
  5. 5 Italy 74 works
  6. 6 United Kingdom 65 works
  7. 7 Japan 57 works
  8. 8 Russia 56 works
  9. 9 India 56 works
  10. 10 Spain 54 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: 24.9%China: 21.7%France: 11.7%Germany: 10.8%6 others listed: 30.9%25%largest
United States291 · 24.9%China254 · 21.7%France137 · 11.7%Germany127 · 10.8%6 others listed362 · 30.9%

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

Which institutions lead Point processes and geometric inequalities research?

By volume in 2022–2025, Centre National de la Recherche Scientifique publishes the most Point processes and geometric inequalities research, followed by TU Wien and University of Freiburg.

By volume, 2022–2025

  1. 1 Centre National de la Recherche Scientifique France 16 works
  2. 2 TU Wien Austria 13 works
  3. 3 University of Freiburg Germany 12 works
  4. 4 Aarhus University Denmark 10 works
  5. 5 Ruhr University Bochum Germany 10 works
  6. 6 Karlsruhe Institute of Technology Germany 9 works
  7. 7 China Three Gorges University China 9 works
  8. 8 Alfréd Rényi Institute of Mathematics Hungary 8 works
  9. 9 University of Science and Technology of China China 8 works
  10. 10 University of Warwick United Kingdom 8 works

Who are the leading researchers in Point processes and geometric inequalities?

The most-cited researchers publishing on Point processes and geometric inequalities include Terence Tao and Joel A. Tropp.

  1. 1 Terence Tao 3.1k citations
  2. 2 Joel A. Tropp 2.8k citations

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

Where is Point processes and geometric inequalities research done?

The largest centres of Point processes and geometric inequalities research in 2022–2025 are Paris (France), Beijing (China), Moscow (Russia) and Shanghai (China).

Largest cities, 2022–2025

  1. 1 Paris France 48 works
  2. 2 Beijing China 45 works
  3. 3 Moscow Russia 32 works
  4. 4 Shanghai China 25 works
  5. 5 New York United States 22 works
  6. 6 Tokyo Japan 21 works
  7. 7 Budapest Hungary 20 works
  8. 8 Vienna Austria 20 works
  9. 9 London United Kingdom 16 works
  10. 10 Hangzhou China 15 works
See Point processes and geometric inequalities on the map

Where is the best place to study Point processes and geometric inequalities?

Among universities, judged by research, TU Wien, Ruhr University Bochum and University of Freiburg 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 19.2833%fractional works in this node (log) →share in the world top 10% →TU Wien: 13, 45.1%Ruhr University Bochum: 10, 20.1%University of Freiburg: 12, 17.8%Aarhus University: 10, 22.8%Karlsruhe Institute of Technology: 9, 9.9%China Three Gorges University: 9, 0.0%TU WienAarhus UniversityRuhr University BochumUniversity of Freiburg
above the meannear itbelow it

One dot per university in the table below. The upper left is the interesting corner: small places doing unusually strong work.

#UniversityScoreTop 10%SpecialisationWorksGrowth
1TU Wien Austria 80.645.1%26.2×13 -14.2%
2Ruhr University Bochum Germany 63.220.1%15.9×10 +74.0%
3University of Freiburg Germany 52.117.8%20.2×12 -48.5%
4Aarhus University Denmark 51.922.8%8.9×10 -23.7%
5Karlsruhe Institute of Technology Germany 48.99.9%10.5×9 +33.5%
6China Three Gorges University China 42.20.0%25.6×9 +75.4%

Universities only. Score blends excellence (30%), specialisation (25%), size (20%), growth (15%) and international reach (10%), 2015–2022; growth compares 2010–14 with 2015–19.

Is Point processes and geometric inequalities research growing?

Output in 2018–2022 was 7% lower than in 2013–2017, peaking in 2025. The fastest-growing topics are Point processes and geometric inequalities.

19801990200020102020
grewheldshrank

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

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.