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. 9.0% 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%
- 1.1k per year above
- Top-10% rate
- 9.0% share of its works in the world top 10%
- Growth, 2013–17 → 2018–22
- +25% the tick is no change
Which countries lead Advanced Mathematical Theories and Applications research?
By volume, Türkiye and the United States publish the most (240 and 238 works in 2022–2025).
By volume, 2022–2025
- 1 Türkiye 240 works
- 2 United States 238 works
- 3 India 236 works
- 4 China 179 works
- 5 Brazil 86 works
- 6 Russia 63 works
- 7 United Kingdom 54 works
- 8 Germany 53 works
- 9 Italy 45 works
- 10 France 43 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 2022–2025, Zonguldak Bülent Ecevit University publishes the most Advanced Mathematical Theories and Applications research, followed by Universidade Federal de Santa Catarina and Erzincan Binali Yıldırım University.
By volume, 2022–2025
- 1 Zonguldak Bülent Ecevit UniversityTürkiye 24 works
- 2 Universidade Federal de Santa CatarinaBrazil 23 works
- 3 Erzincan Binali Yıldırım UniversityTürkiye 18 works
- 4 Indian Institute of Technology KharagpurIndia 17 works
- 5 University of Trás-os-Montes and Alto DouroPortugal 12 works
- 6 Pamukkale UniversityTürkiye 11 works
- 7 Rzeszów University of TechnologyPoland 11 works
- 8 Framingham State UniversityUnited States 10 works
- 9 Bharathidasan UniversityIndia 10 works
- 10 Aksaray UniversityTürkiye 9 works
Who are the leading researchers in Advanced Mathematical Theories and Applications?
The most-cited researchers publishing on Advanced Mathematical Theories and Applications include Andrei Linde, Stephan Ramon Garcia and Steven J. Miller.
- 1 Andrei Linde United States 4.2k citations
- 2 Stephan Ramon Garcia United States 4k citations
- 3 Steven J. Miller United States 3.8k 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 2022–2025 are Moscow (Russia), Zonguldak (Türkiye), Florianópolis (Brazil) 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, 2022–2025
Where it is the local speciality
- ZonguldakTR · 24.5 works101×
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, University of Trás-os-Montes and Alto Douro, Zonguldak Bülent Ecevit University and Universidade Federal de Santa Catarina 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 table below. The upper left is the interesting corner: small places doing unusually strong work.
| # | University | Score | Top 10% | Specialisation | Works | Growth |
|---|---|---|---|---|---|---|
| 1 | University of Trás-os-Montes and Alto DouroPortugal | 62.1 | 11.7% | 60.3× | 12 | +645.1% |
| 2 | Zonguldak Bülent Ecevit UniversityTürkiye | 55.0 | 5.7% | 100.7× | 24 | — |
| 3 | Universidade Federal de Santa CatarinaBrazil | 53.4 | 0.0% | 19.4× | 22 | — |
| 4 | Erzincan Binali Yıldırım UniversityTürkiye | 49.3 | 6.7% | 80.5× | 18 | — |
| 5 | Rzeszów University of TechnologyPoland | 44.3 | 0.0% | 62.5× | 10 | +134.6% |
| 6 | Pamukkale UniversityTürkiye | 42.5 | 10.3% | 31.1× | 11 | — |
| 7 | Indian Institute of Technology KharagpurIndia | 41.3 | 0.7% | 17.9× | 17 | -50.0% |
| 8 | Bharathidasan UniversityIndia | 40.3 | 3.3% | 32.2× | 10 | — |
| 9 | Nanjing University of Science and TechnologyChina | 38.6 | 53.5% | 5.7× | 9 | — |
| 10 | Framingham State UniversityUnited States | 37.3 | 6.5% | 551.2× | 10 | -6.4% |
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 Advanced Mathematical Theories and Applications research growing?
Output in 2018–2022 was 25% higher than in 2013–2017, 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.
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.