Advanced Mathematical Theories and Applications
Advanced Mathematical Theories and Applications is a research topic within Statistical and Nonlinear Physics. Science Explorer counts 12k 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 revolves around the E-Infinity theory, a Cantorian-fractal theory of quantum physics, and its applications in high energy particle physics. It explores concepts such as the golden ratio, Fibonacci and Lucas numbers, Hilbert space, dark energy, and quantum gravity.
- E-Infinity Theory
- Cantorian-Fractal
- Quantum Physics
- High Energy Particle Physics
- Golden Ratio
- Fibonacci Numbers
- Lucas Numbers
- Hilbert Space
- Dark Energy
- Quantum Gravity
- Research works
- 12k 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
- +24% the tick is no change
- Largest producer
United States
22% of the 10 largest, 2022-now
Which countries lead Advanced Mathematical Theories and Applications research?
By volume, the United States and India publish the most (336 and 274 works in 2022-now).
By volume, 2022-now
- 1
United States
336 works
- 2
India
274 works
- 3
Türkiye
267 works
- 4
China
235 works
- 5
Brazil
105 works
- 6
United Kingdom
75 works
- 7
Russia
72 works
- 8
Germany
62 works
- 9
Italy
55 works
- 10
France
50 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.
Shares of the rows listed above, not of the whole node.
Which institutions lead Advanced Mathematical Theories and Applications research?
By volume in 2022-now, Zonguldak Bülent Ecevit University publishes the most Advanced Mathematical Theories and Applications research, followed by Universidade Federal de Santa Catarina and Centre National de la Recherche Scientifique.
By volume, 2022-now
- 1
Zonguldak Bülent Ecevit UniversityTürkiye
29 works
- 2
Universidade Federal de Santa CatarinaBrazil
23 works
- 3
Centre National de la Recherche ScientifiqueFrance
20 works
- 4
Chinese Academy of SciencesChina
19 works
- 5
Indian Institute of Technology KharagpurIndia
19 works
- 6
Erzincan Binali Yıldırım UniversityTürkiye
19 works
- 7
Russian Academy of SciencesRussia
17 works
- 8
Pamukkale UniversityTürkiye
12 works
- 9
University of Trás-os-Montes and Alto Douro
Portugal
12 works
- 10
Bharathidasan UniversityIndia
12 works
Who are the leading researchers in Advanced Mathematical Theories and Applications?
The most-cited researchers publishing on Advanced Mathematical Theories and Applications include Wei Huang, Kenji Watanabe and Takashi Taniguchi.
- 1
Wei Huang
China
267k citations
- 2
Kenji Watanabe
Japan
237k citations
- 3
Takashi Taniguchi
Japan
227k citations
- 4
Harry Eugene Stanley
United States
198k citations
- 5
Edward H. Witten
United States
174k citations
- 6
Douglas Scott
Canada
172k citations
- 7
Sanjit Mitra
India
167k citations
- 8
Sophie Henrot-Versillé
France
151k citations
Ranked by citations received across their whole record, among researchers with at least three works on this topic.
Where is Advanced Mathematical Theories and Applications research done?
The largest centres of Advanced Mathematical Theories and Applications research in 2022-now are Moscow (Russia), Zonguldak (Türkiye), Ankara (Türkiye) and Istanbul (Türkiye). Among places with at least 20 works in it, it is an unusually large share of all research in Zonguldak.
Largest cities, 2022-now
Where it is the local speciality
- ZonguldakTR · 29.4 works98×
Location quotient: how much more of its research is in Advanced Mathematical Theories and Applications than the world average.
Where is the best place to study Advanced Mathematical Theories and Applications?
Among universities, judged by research, Erzincan Binali Yıldırım University, Nanjing University of Science and Technology and University of Trás-os-Montes and Alto Douro 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.
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.
| # | University | Score | Top 10% | Specialisation | Works | Growth |
|---|---|---|---|---|---|---|
| 1 | Erzincan Binali Yıldırım UniversityTürkiye |
67.4 | 23.2% | 79.1× | 19 | +134.8% |
| 2 | Nanjing University of Science and TechnologyChina |
60.3 | 39.1% | 5.9× | 10 | +568.1% |
| 3 | University of Trás-os-Montes and Alto DouroPortugal |
57.3 | 18.2% | 56.6× | 12 | +44.7% |
| 4 | Zonguldak Bülent Ecevit UniversityTürkiye |
56.8 | 14.5% | 112.3× | 29 | -17.3% |
| 5 | Indian Institute of Technology KharagpurIndia |
52.4 | 14.4% | 18.9× | 19 | - |
| 6 | Universidade Federal de Santa CatarinaBrazil |
47.8 | 0.0% | 17.0× | 22 | +53.6% |
| 7 | Pamukkale UniversityTürkiye |
35.4 | 2.9% | 31.5× | 12 | +41.7% |
| 8 | Vellore Institute of Technology UniversityIndia |
33.2 | 18.4% | 4.3× | 8 | +290.1% |
| 9 | Bharathidasan UniversityIndia |
32.5 | 0.4% | 34.1× | 12 | +506.7% |
| 10 | Eckerd CollegeUnited States |
32.1 | 3.7% | 626.1× | 10 | - |
| 11 | Framingham State UniversityUnited States |
30.7 | 3.5% | 512.7× | 10 | +129.6% |
| 12 | Aksaray UniversityTürkiye |
30.7 | 8.2% | 38.9× | 10 | +65.3% |
| 13 | Sakarya UniversityTürkiye |
29.5 | 13.2% | 14.7× | 8 | -18.8% |
| 14 | Rzeszów University of Technology Poland |
27.0 | 0.2% | 61.8× | 11 | -21.2% |
| 15 | Tribhuvan University Nepal |
25.0 | 2.4% | 5.5× | 8 | +309.1% |
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 Advanced Mathematical Theories and Applications, country by countryIs Advanced Mathematical Theories and Applications research growing?
Output in 2022-2025 was 24% higher than in 2018-2021, peaking in 2025. The fastest-growing topics are Advanced Mathematical Theories and Applications.
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 Advanced Mathematical Theories and Applications as a percentage of every work published that year, 0.0086% in 2024.
Fractional works of Advanced Mathematical Theories and 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.
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
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