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.
- World rank
- #79,257 of 1,633,909 ranked researchers
- Rank in United Kingdom
- #7,476 of 90,785
- Works
- 45
- Citations
- 306
- Citations per work
- 6.8
What does Ian Melbourne research?
Shares of their own output, by the field each of their topics belongs to. The grey slice is everything not listed.
- 1Mathematical Physics35% of their works
- 2Statistical and Nonlinear Physics20% of their works
- 3Computer Networks and Communications11% of their works
- 4Finance7% of their works
- 5Geometry and Topology7% of their works
- 6Computational Theory and Mathematics4% of their works
Research topics
- Mathematical Dynamics and Fractals
- Quantum chaos and dynamical systems
- Nonlinear Dynamics and Pattern Formation
- Stochastic processes and financial applications
- Advanced Differential Equations and Dynamical Systems
- advanced mathematical theories
- Stochastic processes and statistical mechanics
- Complex Systems and Time Series Analysis
Which keywords describe Ian Melbourne's research?
The keywords of their largest research topics: Dynamical Systems, Ergodic Theory, Chaos, Fractals, Lagrangian Coherent Structures, Quantum Chaos, Chimera States and Synchronization.
- Scaling Limits
- Interacting Particle Systems
- p-adic
- Mathematical Physics
- Stochastic Calculus
- Synchronization
- Quantum Chaos
- Fractals
- Ergodic Theory
- Dynamical Systems
- Chaos
- Lagrangian Coherent Structures
- Chimera States
- Option Pricing
- Bifurcations
- Planar Systems
- Econophysics
- Multifractal Analysis
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 18 words, with their numbers
- Dynamical Systems232 topics
- Ergodic Theory162 topics
- Chaos131 topic
- Fractals131 topic
- Lagrangian Coherent Structures101 topic
- Quantum Chaos101 topic
- Chimera States61 topic
- Synchronization61 topic
- Option Pricing41 topic
- Stochastic Calculus41 topic
- Bifurcations31 topic
- Mathematical Physics31 topic
- Planar Systems31 topic
- p-adic31 topic
- Econophysics21 topic
- Interacting Particle Systems21 topic
- Multifractal Analysis21 topic
- Scaling Limits21 topic
Where does Ian Melbourne work?
Ian Melbourne's main affiliation in the publication record is University of Surrey, United Kingdom.
How many publications and citations does Ian Melbourne have?
Science Explorer counts 45 works and 306 citations for Ian Melbourne, ranking #79,257 of 1,633,909 researchers worldwide on the composite 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 are in the interactive view on the map. Is this your page? Request a correction or removal.