EPSRC Reference: |
GR/L48850/01 |
Title: |
DECAY OF CORRELATIONS FOR CHAOTIC FLOWS |
Principal Investigator: |
Pollicott, Professor M |
Other Investigators: |
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Researcher Co-Investigators: |
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Project Partners: |
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Department: |
Mathematics |
Organisation: |
University of Manchester, The |
Scheme: |
Standard Research (Pre-FEC) |
Starts: |
15 December 1997 |
Ends: |
14 December 1999 |
Value (£): |
66,149
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EPSRC Research Topic Classifications: |
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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: |
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Summary on Grant Application Form |
The proposed research will deal with quantifying the decay of correlations which is a central problem in the study of chaotic systems. We propose to establish rigorously the exponential decay of correlations in a number of important chaotic models (Axiom A attractors, under appropriate assumptions, suspension modeal, the Geometric Lorentz Attractor, etc.). We shall approach these problems via a method based on a detailed study of the spectral properties of the Ruelle-Perron-Frobenius Operator from the Thermodynamic Formalism of symbolic dynamics.
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Key Findings |
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Potential use in non-academic contexts |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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 |
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.man.ac.uk |