| EPSRC Reference: |
GR/S14108/01 |
| Title: |
Orthogonal Polynomials and Random Matrices |
| Principal Investigator: |
Chen, Professor Y |
| Other Investigators: |
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| Researcher Co-Investigators: |
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| Department: |
Mathematics |
| Organisation: |
Imperial College London |
| Scheme: |
Overseas Travel Grants Pre-FEC |
| Starts: |
08 October 2002 |
Ends: |
07 February 2003 |
Value (£): |
6,000
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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The research to be conducted during this sabbatical leave will involve the interactions of the theory of random matrices and orthogonal polynomials. In particular, I shall determine the Bernstein-Szego type asymptotics of polynomials othogonal on a system of intervals, using the generalised Chebyshev polynomials, recently constructed by my former student and myself in terms of theta functions, as a bench mark . Another line of investigation is also related to the generalised Chebyshev polynomials. It is found that the recurrence coefficients can also be expressed in terms of the evaluation of theta functions at special points. This strongly suggests that the coefficients should satisfy exactly integrable non-linear difference equations yet to be discovered.
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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 |