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Researcher · University of Warwick · United Kingdom

Ian Melbourne

Ian Melbourne publishes mostly in Mathematical Physics, Statistical and Nonlinear Physics and Computer Networks and Communications, on topics such as Mathematical Dynamics and Fractals, Quantum chaos and dynamical systems and Nonlinear Dynamics and Pattern Formation.

ORCID 0000-0001-8035-8907 OpenAlex
World rank
#345,985
of 7,710,434 ranked researchers
Rank in United Kingdom
#30,712
of 367,258
Works
182
Citations
6.1k
Citations per work
33.5
h-index
40
i10-index 87Top 1.3% in Mathematical Physics
Ian Melbourne

What does Ian Melbourne research?

Ian Melbourne's work is mostly in Mathematics (42%), Physics and Astronomy (26%), Computer Science (12%).

Physical Sciences: 146 works · 80.3% of their workMathematics: 76 works · 41.8% of their workMathematical Physics: 63 works · 34.6% of their workGeometry and Topology: 13 works · 7.2% of their workPhysics and Astronomy: 48 works · 26.2% of their workStatistical and Nonlinear Physics: 48 works · 26.2% of their workComputer Science: 22 works · 12.3% of their workComputer Networks and Communications: 17 works · 9.6% of their workComputational Theory and Mathematics: 5 works · 2.7% of their workEverything else: 30 works · 16.4% of their workSocial Sciences: 6 works · 3.3% of their workEconomics, Econometrics and Finance: 6 works · 3.3% of their workFinance: 6 works · 3.3% of their workTHEIR WORKIan Melbourne182works
Physical Sciences80%Social Sciences3%

Their six largest subfields, inside their fields and domains; the grey slice is everything else they publish. The interactive view splits every one of their works down to single topics.

The fields and subfields, with their numbers
    1. Mathematics7641.8%
    2. Physics and Astronomy4826.2%
    3. Computer Science2212.3%
  2. Everything else3016.4%
    1. Economics, Econometrics and Finance63.3%
  1. 1Mathematical Physics35% of their works
  2. 2Statistical and Nonlinear Physics26% of their works
  3. 3Computer Networks and Communications10% of their works
  4. 4Geometry and Topology7% of their works
  5. 5Finance3% of their works
  6. 6Computational Theory and Mathematics3% of their works

Research topics

Which keywords describe Ian Melbourne's research?

The keywords of their largest research topics: Dynamical Systems, Chaos, Ergodic Theory, Fractals, Lyapunov Exponents, Lagrangian Coherent Structures, Quantum Chaos and Nonlinear Dynamics.

Size is their works in the topics tagged with each word, from their 8 largest topics. Each links to the topic it comes from most.

All 21 words, with their numbers
  1. Dynamical Systems2012 topics
  2. Chaos1442 topics
  3. Ergodic Theory1352 topics
  4. Fractals1161 topic
  5. Lyapunov Exponents1161 topic
  6. Lagrangian Coherent Structures851 topic
  7. Quantum Chaos851 topic
  8. Nonlinear Dynamics772 topics
  9. Synchronization772 topics
  10. Chimera States491 topic
  11. Reaction-Diffusion Model491 topic
  12. Interacting Particle Systems361 topic
  13. Scaling Limits361 topic
  14. Complex Systems281 topic
  15. Time Series Analysis281 topic
  16. Bifurcations251 topic
  17. Planar Systems251 topic
  18. Mathematical Physics191 topic
  19. p-adic191 topic
  20. Option Pricing161 topic
  21. Stochastic Calculus161 topic

Where does Ian Melbourne work?

Ian Melbourne's main affiliation in the publication record is University of Warwick, United Kingdom.

How many publications and citations does Ian Melbourne have?

OpenAlex counts 182 works and 6,092 citations for Ian Melbourne, an h-index of 40, ranking #345,985 of 7,710,434 researchers worldwide on the quality score.

Ranked on field-normalised excellence (50%), output (30%) and citations (20%). Counts come from OpenAlex author records, which occasionally merge different people who share a name or split one person into several.

Papers, co-authors, who cited this work and researchers on the nearest topics have tabs of their own, above. Is this your page? Claim it with your ORCID iD, or request a correction or removal.

Discussion

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