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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. 10.2% 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%
1.3k
per year above
Top-10% rate
10.2%
share of its works in the world top 10%
Growth, 2018-21 → 2022-25
+25%
the tick is no change
Largest producer
United States
25% of the 10 largest, 2022-now
Point processes and geometric inequalities

Which countries lead Point processes and geometric inequalities research?

By volume, the United States and China publish the most (333 and 291 works in 2022-now).

By volume, 2022-now

  1. 1 United States 333 works
  2. 2 China 291 works
  3. 3 France 151 works
  4. 4 Germany 141 works
  5. 5 Italy 83 works
  6. 6 United Kingdom 76 works
  7. 7 Japan 64 works
  8. 8 Russia 63 works
  9. 9 India 63 works
  10. 10 Spain 60 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: 25.2%China: 22.0%France: 11.4%Germany: 10.6%6 others listed: 30.8%25%largest
United States333 · 25.2%China291 · 22.0%France151 · 11.4%Germany141 · 10.6%6 others listed407 · 30.8%

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

Which institutions lead Point processes and geometric inequalities research?

By volume in 2022-now, Centre National de la Recherche Scientifique publishes the most Point processes and geometric inequalities research, followed by Russian Academy of Sciences and TU Wien.

By volume, 2022-now

  1. 1 Centre National de la Recherche ScientifiqueFrance 66 works
  2. 2 Russian Academy of SciencesRussia 23 works
  3. 3 TU WienAustria 14 works
  4. 4 University of FreiburgGermany 12 works
  5. 5 Max Planck SocietyGermany 11 works
  6. 6 Aarhus UniversityDenmark 11 works
  7. 7 Ruhr University BochumGermany 11 works
  8. 8 Helmholtz Association of German Research CentresGermany 11 works
  9. 9 Hungarian Academy of SciencesHungary 11 works
  10. 10 New York UniversityUnited States 10 works

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

The most-cited researchers publishing on Point processes and geometric inequalities include Amos Tversky, Trevor Hastie and Harry Eugene Stanley.

  1. 1 Amos Tversky United States 327k citations
  2. 2 Trevor Hastie United States 301k citations
  3. 3 Harry Eugene Stanley United States 198k citations
  4. 4 Paul M. Thompson United States 196k citations
  5. 5 Bradley T. Hyman United States 187k citations
  6. 6 Michael I. Jordan United States 182k citations
  7. 7 Luc Van Gool Switzerland 177k 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 Point processes and geometric inequalities?

The most cited paper in Point processes and geometric inequalities is "The efficiency of systematic sampling in stereology and its prediction*" (H. J. G. Gundersen, Eva B. Vedel Jensen, 1987), with 3,571 citations. Next come "Automatic 3D Intersubject Registration of MR Volumetric Data in Standardized Talairach Space" (3,513) and "Unbiased stereological estimation of the total number of neurons in the subdivisions of the rat hippocampus using the optical fractionator" (3,065).

Most cited papers
#PaperReleasedCitations
1 The efficiency of systematic sampling in stereology and its prediction* H. J. G. Gundersen, Eva B. Vedel Jensen · Journal of Microscopy Sep 1987 3,571
2 Automatic 3D Intersubject Registration of MR Volumetric Data in Standardized Talairach Space D. Louis Collins, Peter Neelin, Terrence M. Peters et al. · Journal of Computer Assisted Tomography Mar 1994 3,513
3 Unbiased stereological estimation of the total number of neurons in the subdivisions of the rat hippocampus using the optical fractionator Mark J. West, Lutz Slomianka, H.J.G. Gundersen · The Anatomical Record Dec 1991 3,065
4 Some new, simple and efficient stereological methods and their use in pathological research and diagnosis H. J. G. Gundersen, Thomas Fichtner Bendtsen, Lise Korbo et al. · Apmis 1988 2,964
5 ON A CLASS OF SKEW DISTRIBUTION FUNCTIONS Herbert A. Simon · Biometrika 1955 2,524
All 100 most cited papers, with filters and sorting

Where is Point processes and geometric inequalities research done?

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

Largest cities, 2022-now

  1. 1 ParisFrance 51 works
  2. 2 BeijingChina 50 works
  3. 3 MoscowRussia 36 works
  4. 4 ShanghaiChina 28 works
  5. 5 New YorkUnited States 24 works
  6. 6 TokyoJapan 22 works
  7. 7 ViennaAustria 21 works
  8. 8 BudapestHungary 21 works
  9. 9 LondonUnited Kingdom 19 works
  10. 10 HangzhouChina 17 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, New York University and Aarhus University 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 15.77%fractional works in this field (log) →share of work in the world top 10% →New York UniversityTU WienUniversity of FreiburgAarhus 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
1TU WienAustria 93.729.1%28.2×14 +141.3%
2New York UniversityUnited States 70.533.7%5.5×10 +53.8%
3Aarhus UniversityDenmark 65.19.6%7.6×11 +161.1%
4University of FreiburgGermany 59.611.2%15.7×12 +363.7%
5Université Paris-SaclayFrance 50.818.4%7.8×8 +21.6%
6Ruhr University BochumGermany 49.510.3%15.5×11 +126.4%
7University of WarwickUnited Kingdom 44.85.7%12.3×9 +115.4%
8University of Science and Technology of ChinaChina 37.924.0%4.3×8 +377.6%
9Georgia Institute of TechnologyUnited States 36.715.5%8.1×8 -7.6%
10China Three Gorges UniversityChina 18.80.2%27.1×9 -12.0%

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 Point processes and geometric inequalities, country by country

Is Point processes and geometric inequalities research growing?

Output in 2022-2025 was 25% higher than in 2018-2021, peaking in 2025. The fastest-growing topics are Point processes and geometric inequalities.

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 Point processes and geometric inequalities as a percentage of every work published that year, 0.0081% in 2024.

still counting0.020%0.040%Point processes and geometric inequalities0.0077% in 202519801990200020102020

Fractional works of Point processes and geometric inequalities 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%Point processes and geometric inequalities10.1% 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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