| EPSRC Reference: |
EP/H023127/1 |
| Title: |
Topics in random matrix theory and spectral theory of operators on Riemannian manifolds. |
| Principal Investigator: |
Chen, Professor Y |
| Other Investigators: |
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| Department: |
Mathematics |
| Organisation: |
Imperial College London |
| Scheme: |
Mathematical Sciences Small Gr |
| Starts: |
14 November 2009 |
Ends: |
13 September 2010 |
Value (£): |
15,674
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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Large systems consisting of many elementary components obeying simple binary interaction rule are very effectiverepresentatives of complex systems. As the number of constituents increases collective behaviour involving largenumber of the elementaries emerges. It turns out that eigenvalues of large random matrices --- square array of numbers drawn with theaid of the throw of a die (which accounts for the randomness) and itscontinuous generalization involving differentiation---also behave in a similar manner. In these projects the behaviour of thethe eigenvalues in both instances will give value insights into the model complex systems.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
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| Date Materialised |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.imperial.ac.uk |