| EPSRC Reference: |
GR/S50984/01 |
| Title: |
Ergodic Optimization and Thermodynamic Formalism |
| Principal Investigator: |
Jenkinson, Professor O |
| Other Investigators: |
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| Researcher Co-Investigators: |
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| Project Partners: |
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| Department: |
Sch of Mathematical Sciences |
| Organisation: |
Queen Mary University of London |
| Scheme: |
Advanced Fellowship (Pre-FEC) |
| Starts: |
01 October 2003 |
Ends: |
30 September 2008 |
Value (£): |
225,316
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| EPSRC Research Topic Classifications: |
| Mathematical Analysis |
Numerical Analysis |
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| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
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| Related Grants: |
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| Panel History: |
| Panel Date | Panel Name | Outcome |
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19 May 2003
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Maths AF Interview panel
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Deferred
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16 Apr 2003
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Maths Fellowships
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Deferred
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Summary on Grant Application Form |
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The proposed research focuses on 2 distinct, though related, branches of Dynamical Systems: Ergodic Optimiza Thermodynamic Formalism. A common theme is that my approach is more explicit than is usual.In Ergodic Optimization I will determine maximizing orbits for specific functions f and dynamical systems T, uncommon properties of those orbits which are most likely to be maximizing. To achieve this I will firstly carry out e computer experiments. The resulting data will lead to conjectures about the nature of maximizing orbits; a ke proving these conjectures will be normal form theory. Simultaneously I will work on outstanding problems in the fi Lebesgue measure be the unique maximizing measure of a continuous function? How prevalent are strange sets?In Thermodynamic Formalism I am interested in algorithms for computing dynamic and geometric invarian investigate the finite section method and its application to computing Hausdorff dimension and invariant densities will be used to prove the almost everywhere exponential convergence conjecture for the Jacobi-Perron algoritf also study the fine spectral structure of trace-class transfer operators: eigenvalue asymptotics, and sufficient cc for purely real spectrum (with application to the linearised Feigenbaum renormalisation operator).
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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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