| EPSRC Reference: |
GR/R36848/01 |
| Title: |
ICMS Workshop on Analyzable Functions and Applications. |
| Principal Investigator: |
Macintyre, Professor A |
| Other Investigators: |
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| Department: |
Sch of Mathematics |
| Organisation: |
University of Edinburgh |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
12 June 2002 |
Ends: |
11 March 2003 |
Value (£): |
24,559
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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The Workshop concerns the mathematics, both intuitive and rigorous. of the exponentially small. In the last 20 years concepts such as resurgence analyzable function (and associated resummation techniques) have brought order and rigor, as well as new applications, to a venerable but fragmer subject. Contributions have come from unexpected directions, such as model theory, real analytic geometry and theoretical computer science .The themes of the Workshop will include:Advances in the general theory of analyzable functions, formal representations and generalized Borel Summability.* Applications to ordinary and partial differential equations, difference equations, dynamical systems, logic and surreal numbers.Understanding the deeper connections between transseries, LE series and surreal analysis, and the connection between these concepts, exponer asymptotics and hyperasymptotics.Algorithmic aspects
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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 |
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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.ed.ac.uk |