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Research facility · Budapest · Hungary

Alfréd Rényi Institute of Mathematics

In research, Alfréd Rényi Institute of Mathematics stands highest in Mathematics (#45 of 1,053 worldwide), Physical Sciences (#1,680 of 12,888 worldwide) and Computer Science (#2,024 of 4,667 worldwide), 2022–2025. Relative to its size it is most specialised in Discrete Mathematics and Combinatorics, Geometry and Topology and Algebra and Number Theory — Discrete Mathematics and Combinatorics is 311.3× its share of world research.

renyi.huROR OpenAlex
World rank, 2022–2025
#3,134
of 28,054 · #3,247 all time
Rank in Hungary
#11
of 118
Research works
1.9k
▲ 20% vs 2013–17
Citations
23k
12.0 per fractional work
Top-10% rate
12.1%
record average 16.5%
Open access
50%
world 28%

What is Alfréd Rényi Institute of Mathematics known for in research?

The fields where it stands highest, 2022–2025, ranked among every institution above the floor in each field.

FieldWorld rankWhere that sitsTop-10% rateWorksAll time
MathematicsField #45 of 1,053 12.6%237 #123
Physical SciencesDomain #1,680 of 12,888 11.8%394 #1991
Computer ScienceField #2,024 of 4,667 11.3%112 #909
Geometry and TopologySubfield #38 of 56 13.1%63 #196
Computational Theory and MathematicsSubfield #199 of 277 13.8%69 #411

Each strip is that field’s whole ranked pool, with the notch where Alfréd Rényi Institute of Mathematics sits in it, in the colour of the band that rank falls in. The track under the rate is the rate itself: it carries no world mark, because the world rate differs by field (from about 6% to 21% in this record).

Which of those standings moved

The same fields on both windows: where it stood over the whole record, and where it stands in 2022–2025. The distance is the story, and it is the one thing the two rank columns above cannot show.

  1. Mathematics#123 #45
  2. Physical Sciences#1,991 #1,680
  3. Computer Science#909 #2,024
  4. Geometry and Topology#196 #38
  5. Computational Theory and Mathematics#411 #199
all time2022–2025, better2022–2025, worse

A dot further right is a better standing. Fields it was not ranked in over the whole record are left out.

What does Alfréd Rényi Institute of Mathematics specialise in?

Where its research is concentrated relative to its size: Discrete Mathematics and Combinatorics takes 311.3× the share of its output that it takes of world research.

  1. Discrete Mathematics and CombinatoricsSubfield · 58.6 works311×
  2. Geometry and TopologySubfield · 62.9 works81×
  3. Algebra and Number TheorySubfield · 22.6 works74×
  4. Mathematical PhysicsSubfield · 42.2 works56×
  5. MathematicsField · 236.5 works42×
  6. Computational Theory and MathematicsSubfield · 69.3 works34×
← less than its size predicts1×more →

Location quotient, a volume reading rather than an impact one. It surfaces small, lopsided specialities.

Field profile

Location quotient across every field it publishes in: outside the ring is more than an institution of this size would be expected to publish, inside it is less.

Agricultural and Biological Sciences: 0.17× its world share, 4 worksAgricultural and Bio…Biochemistry, Genetics and Molecular Biology: 0.31× its world share, 8 worksBiochemistry, Geneti…Immunology and Microbiology: 0.27× its world share, 1 worksImmunology and Micro…Neuroscience: 0.14× its world share, 1 worksNeuroscienceChemistry: 0.15× its world share, 1 worksChemistryComputer Science: 3.05× its world share, 112 worksComputer ScienceEarth and Planetary Sciences: 0.17× its world share, 1 worksEarth and Planetary …Engineering: 0.33× its world share, 23 worksEngineeringEnvironmental Science: 0.07× its world share, 2 worksEnvironmental ScienceMaterials Science: 0.10× its world share, 2 worksMaterials ScienceMathematics: 42.42× its world share, 236 worksMathematicsPhysics and Astronomy: 1.49× its world share, 16 worksPhysics and AstronomyDentistry: 0.22× its world share, 0 worksDentistryHealth Professions: 0.08× its world share, 1 worksHealth ProfessionsMedicine: 0.11× its world share, 10 worksMedicineNursing: 0.14× its world share, 0 worksNursingArts and Humanities: 0.21× its world share, 3 worksArts and HumanitiesBusiness, Management and Accounting: 0.07× its world share, 1 worksBusiness, Management…Decision Sciences: 1.18× its world share, 5 worksDecision SciencesEconomics, Econometrics and Finance: 0.60× its world share, 6 worksEconomics, Econometr…Psychology: 0.21× its world share, 3 worksPsychologySocial Sciences: 0.59× its world share, 36 worksSocial Sciences1×world share
more than its size predictsabout as predictedless

Rings at 0.5×, 1× and 2×. Widest outward: Mathematics, 42.4×. Every wedge is a field page.

Who are the top researchers at Alfréd Rényi Institute of Mathematics?

Ranked on the composite score, Balázs Szegedy, Károly J. Böröczky and Péter Frankl lead among researchers whose main affiliation is Alfréd Rényi Institute of Mathematics.

  1. 1 Balázs Szegedy Hungary · #78,646 worldwide 275 citations · 39 works
  2. 2 Károly J. Böröczky Hungary · #246,201 worldwide 202 citations · 49 works
  3. 3 Péter Frankl Hungary · #258,702 worldwide 320 citations · 99 works
  4. 4 Imre Bárány Hungary · #439,677 worldwide 129 citations · 42 works
  5. 5 Gábor Tardos Hungary · #526,743 worldwide 187 citations · 49 works
  6. 6 Dėnes Petz Hungary · #540,091 worldwide 139 citations · 29 works
  7. 7 János Pach Hungary · #564,304 worldwide 312 citations · 114 works
  8. 8 Gergely Harcos Hungary · #587,702 worldwide 46 citations · 16 works
  9. 9 András Némethi Hungary · #613,333 worldwide 157 citations · 76 works
  10. 10 István Juhász Hungary · #617,612 worldwide 54 citations · 29 works
All ranked researchers at Alfréd Rényi Institute of Mathematics

Which keywords describe research at Alfréd Rényi Institute of Mathematics?

By fractional works in 2022–2025, weighted toward what it does more of than the world: Approximation Algorithms, Graph Limits, Szemerédi's Theorem, Algorithmic Applications, Graph Theory, Fixed-Parameter Algorithms, Parameterized Complexity and Eigenvalues.

▲ more of its work than of the world’s◆ about the world’s share▼ less than the world’s

Size is fractional works in 2022–2025 in the topics tagged with each word; colour is the word's share of this institution's work against its share of the world's. The 40 words are chosen for being large and distinctive. Each links to the topic it comes from most.

All 40 words, with their numbers
  1. Approximation Algorithms49▲ 149×5 topics
  2. Graph Limits42▲ 915×1 topic
  3. Szemerédi's Theorem42▲ 915×1 topic
  4. Algorithmic Applications35▲ 212×2 topics
  5. Graph Theory32▲ 61×2 topics
  6. Fixed-Parameter Algorithms32▲ 310×1 topic
  7. Parameterized Complexity32▲ 310×1 topic
  8. Eigenvalues21▲ 188×2 topics
  9. Modular Forms21▲ 114×3 topics
  10. L-Functions19▲ 138×2 topics
  11. Molecular Structure18▲ 38×3 topics
  12. Graph Spectra18▲ 232×1 topic
  13. Topological Indices18▲ 232×1 topic
  14. Random Matrix Theory17▲ 118×3 topics
  15. Representation Theory17▲ 114×2 topics
  16. Model Theory14▲ 321×1 topic
  17. Number Theory14▲ 129×3 topics
  18. Topological Dynamics14▲ 321×1 topic
  19. Knowledge Management14▲ 5.3×4 topics
  20. Economic Development14▲ 3.6×2 topics
  21. Social Impact14▲ 7.2×2 topics
  22. Policy14▲ 13×2 topics
  23. Regional Disparities13▲ 55×1 topic
  24. Tourism13▲ 30×1 topic
  25. Symplectic Geometry12▲ 73×2 topics
  26. Ergodic Theory12▲ 89×2 topics
  27. Primes12▲ 236×1 topic
  28. Riemann Zeta Function12▲ 236×1 topic
  29. Fiber Bragg Grating11▲ 124×1 topic
  30. Spectral Amplitude Coding11▲ 124×1 topic
  31. Tropical Geometry11▲ 69×2 topics
  32. Dynamical Systems10▲ 33×3 topics
  33. Finite Groups10▲ 161×1 topic
  34. Graphs10▲ 161×1 topic
  35. Graph Labeling10▲ 159×1 topic
  36. Metric Dimension10▲ 159×1 topic
  37. Cohomology10▲ 48×2 topics
  38. Chaos10▲ 28×3 topics
  39. Fractals10▲ 112×1 topic
  40. Lyapunov Exponents10▲ 112×1 topic

Which research topics does Alfréd Rényi Institute of Mathematics publish most on?

By volume in 2022–2025: Limits and Structures in Graph Theory, Advanced Graph Theory Research, Graph theory and applications and Advanced Topology and Set Theory.

Limits and Structures in…42Limits and Structures in Graph Theory: 42 fractional worksAdvanced Graph Theory Research: 32 fractional worksGraph theory and applications: 18 fractional worksAdvanced Topology and Set Theory: 14 fractional worksHungarian Social, Economic and Educational Studies: 13 fractional worksAnalytic Number Theory Research: 12 fractional worksgraph theory and CDMA systems: 11 fractional worksFinite Group Theory Research: 10 fractional worksGraph Labeling and Dimension Problems: 10 fractional worksMathematical Dynamics and Fractals: 10 fractional works
Discrete Mathematics and CombinatoricsComputational Theory and MathematicsGeometry and TopologyGeography, Planning and Development3 others

Area is fractional works; colour is the subfield each topic belongs to.

  1. 1 Limits and Structures in Graph Theory Discrete Mathematics and Combinatorics 42 works
  2. 2 Advanced Graph Theory Research Computational Theory and Mathematics 32 works
  3. 3 Graph theory and applications Geometry and Topology 18 works
  4. 4 Advanced Topology and Set Theory Geometry and Topology 14 works
  5. 5 Hungarian Social, Economic and Educational Studies Geography, Planning and Development 13 works
  6. 6 Analytic Number Theory Research Algebra and Number Theory 12 works
  7. 7 graph theory and CDMA systems Electrical and Electronic Engineering 11 works
  8. 8 Finite Group Theory Research Discrete Mathematics and Combinatorics 10 works
  9. 9 Graph Labeling and Dimension Problems Computational Theory and Mathematics 10 works
  10. 10 Mathematical Dynamics and Fractals Mathematical Physics 10 works

How open and international is its research?

Against the world’s own shares — the tick on each track. Both are shares of its output, so they sit on one scale and can be read against each other as well as against the world.

openly available50.3%not open49.7%

World: 28% of research is openly available.

with international co-authors40.9%domestic only59.1%

World: 19% is written across borders.

How has Alfréd Rényi Institute of Mathematics's research output changed?

Output in 2018–2022 was 20% higher than in 2013–2017.

1990200020102020
grewheldshrank

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

Other research institutions in Budapest

All research institutions in Budapest

Research measures only: rankings here say nothing about teaching, admissions or student experience. Comparable institutions and collaboration partners are in the interactive view on the map.